Article
Physics, Particles & Fields
Junchen Rong, Ning Su
Summary: Using numerical bootstrap method, the critical exponents of minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotential W similar to dijk Phi i Phi j Phi k are determined, where the tensor d(ijk) is taken to be the invariant tensor of specific permutation or Lie groups. The study also observes super-multiplet recombination, allowing for the determination of the scaling dimension of the super-field (Phi).
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Mathematics, Applied
Morteza Rahmani
Summary: In this paper, we investigate finite extensions of Bessel sequences to K-frames in a separable Hilbert space H. We provide necessary and sufficient conditions for a Bessel sequence to be expanded to a K-frame and a Parseval K-frame by adding a finite number of elements in H. Additionally, we demonstrate that a frame can be extended to a Parseval K-frame under certain conditions.
RESULTS IN MATHEMATICS
(2022)
Article
Mathematics, Applied
Kengo Matsumoto
Summary: We introduce the concept of K-theoretic duality for extensions of separable unital nuclear C*-algebras, using the K-homology long exact sequence and cyclic six term exact sequence for K-theory groups of extensions. We then prove that the Toeplitz extension tau A of a Cuntz-Krieger algebra OA is the K-theoretic dual of the Toeplitz extension tau At of the Cuntz-Krieger algebra OAt for the transposed matrix At of A. As an application, we show that if the Toeplitz algebras TAt and TBt of the transposed matrices are isomorphic, then the Toeplitz algebras TA and TB themselves are isomorphic as C*-algebras.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Stepan Sidorov
Summary: These models construct SU(2|1), d = 1 supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term is defined on the generalized chiral superspace. The dynamical multiplet is defined as a chiral multiplet (2, 4, 2), while the semi-dynamical multiplet is associated with a multiplet (4, 4, 0) of the mirror type.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Astronomy & Astrophysics
Boryana Hadzhiyska, Sownak Bose, Daniel Eisenstein, Lars Hernquist
Summary: The study explores the empirical models of subhalo abundance matching and halo occupation distribution for the galaxy-halo connection, comparing them with hydrodynamical simulation IllustrisTNG. Results indicate that both models, in their simplest forms, fail to accurately reproduce the clustering measured in the simulation. Further analysis reveals discrepancies in the predictions of high-mass, blue, star-forming galaxies compared to low-mass, red, quiescent galaxies.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Physics, Mathematical
Severin Bunk, Lukas Mueller, Richard J. Szabo
Summary: The study explores the relationship between bundle gerbes on manifolds carrying an action of a connected Lie group G and the smooth 2-group extensions, and applies the results to new descriptions in quantum mechanics and quantum field theory. Additionally, a definition of smooth string 2-group models within the geometric framework is proposed. Starting from a basic gerbe on a compact simply-connected Lie group G, the construction provides new models for the string group of G.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
Article
Physics, Multidisciplinary
S. Garneau-Desroches, V Hussin
Summary: Ladder operators for the hyperbolic Rosen-Morse (RMII) potential are realized using the shape invariance property and extended to a specific class of rational extensions. Coherent states are constructed as almost eigenstates of the lowering operators. The constructions are extended to the case of the trigonometric Rosen-Morse (RMI) potential using a point canonical transformation.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
Tianjun Li, Adeel Mansha, Rui Sun
Summary: By systematically revisiting the construction of three-family N=1 supersymmetric Pati-Salam models in Type IIA orientifolds on T6/(Z2xZ2) with intersecting D6-branes, we found that the Type II T-duality is not an equivalent relation in Pati-Salam model building if the model is not invariant under SU(2)L and SU(2)R exchange. We systematically construct new models with higher wrapping numbers, which may have the potential for approximate gauge coupling unification.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Mathematics, Applied
Peter Ulrickson
Summary: The study constructs spaces of 1-dimensional supersymmetric Euclidean field theories and demonstrates that they represent real or complex K-theory without specifying the space of states in the definition of field theory.
JOURNAL OF GEOMETRY AND PHYSICS
(2021)
Article
Mathematics
Christopher Schommer-Pries, Nathaniel Stapleton
Summary: In this paper, Sullivan's model of rational differential forms on a simplicial set X is interpreted as a kind of 0|1 dimensional supersymmetric quantum field theory, where concordance classes of such theories represent the rational cohomology of X. The notion of superalgebraic cartesian sets is introduced as a concept of space blending simplicial sets and supermanifolds valid over an arbitrary base ring. The paper explores various variations of field theory and discusses their cohomological interpretations, ultimately describing a variant that allows recovery of the cohomology H*(X; S) over any commutative ring S.
ADVANCES IN MATHEMATICS
(2021)
Article
Mathematics
Vasily Golyshev, Matt Kerr, Tokio Sasaki
Summary: The paper introduces a program to exhibit the Apéry numbers of Fano varieties as limiting extension classes of higher cycles on associated Landau-Ginzburg models. The authors also construct an Apéry motive and illustrate their proposal with detailed calculations for LG models mirror to several Fano threefolds. The paper explains the arithmetic properties of elementary Apéry numbers by describing them in terms of regulators of higher cycles.
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
(2023)
Article
Mathematics
Qinghua Chen, Min Zheng
Summary: This paper focuses on the Ki-groups of two types of extensions of abelian categories, the trivial extension and the gluing of abelian categories, showing isomorphisms of Ki-groups under certain conditions. The results provide a foundation for future research in related fields.
Article
Physics, Particles & Fields
Eric D'Hoker, Thomas T. Dumitrescu, Emily Nardoni
Summary: This paper discusses the Seiberg-Witten solution of pure N = 2 gauge theory in four dimensions, obtaining an exact series expansion for the dependence of Seiberg-Witten periods on Coulomb-branch moduli. The global structure of the Kahler potential on the Coulomb branch is explored utilizing analytical results and numerical computations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Mathematics, Applied
R. Bardhan, C. Ozel, L. Guran, H. Aydi, Choonkil Park
Summary: This article discusses a series of infinite dimensional extensions of theorems from previous studies and proves similar constructions in an infinite dimension using similar techniques. As an application, the existence of solutions for infinite dimensional Fredholm integral equation and Uryshon type integral equation is ensured.
ADVANCES IN DIFFERENCE EQUATIONS
(2021)
Article
Physics, Particles & Fields
Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Hikaru Uchida
Summary: This study focuses on the constructions and classifications of three-generation models based on magnetized T-4 and T-4/Z(2) orbifold as possible compact space candidates. The main emphasis is on the chiral fermion zero-mode wave functions in the extra dimensions. The analysis takes into account the freedoms of constant gauge fields, known as Scherk-Schwarz phases. The relationship between different models is clarified through a systematic classification, and the Higgs sector is also studied by analyzing the possible assignments of magnetic flux and Scherk-Schwarz phases to left- and right-handed fermions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
A. J. Balseyro Sebastian, D. Bazeia, M. A. Marques
Summary: We investigate the possibility of building internal structure and asymmetry for kinks and domain walls in scalar field theories in the multifield scenario. This requires including an extra field associated with a function that modifies the dynamics of the other fields. We study minimum energy configurations that support first order equations compatible with the equations of motion. The extra field allows for a transition guided by a parameter, connecting the standard solution to a geometrically constrained one, mimicking the effects of geometrical constrictions in magnetic materials.
Correction
Physics, Particles & Fields
A. J. G. Carvalho, A. F. Ferrari, A. M. Lima, J. R. Nascimento, A. Yu. Petrov
Article
Astronomy & Astrophysics
D. Bazeia, A. S. Lobao Jr, M. A. Marques, R. Menezes
Summary: We investigate braneworlds modeled by topological solutions that arise from the Cuscuta-Galileon model. We develop a first order framework and illustrate our procedure using the hyperbolic tangent profile of the scalar field. We find conditions for the model parameters to have solutions connecting minima of the potential and interpolating Minkowski and anti de Sitter geometries, as well as solutions only interpolating anti de Sitter geometry. In both cases, the gravity sector of the brane is stable against metric fluctuations.
Article
Astronomy & Astrophysics
Van Sergio Alves, M. Gomes, A. Yu. Petrov, A. J. da Silva
Summary: In this paper, the three-dimensional supersymmetric pseudo-QED is discussed within the superfield approach. It is proven to be all-loop renormalizable. The action of SUSY pseudo-QED is demonstrated to be generated as a quantum correction from the coupling of a spinor gauge superfield to a set of N massless complex scalar superfields. Finally, the divergence of the two-point function of the scalar superfields in pseudo-QED is calculated and found to vanish in a certain gauge.
Article
Mathematics, Interdisciplinary Applications
I. Andrade, D. Bazeia, M. A. Marques, R. Menezes
Summary: In this study, we investigate a Maxwell-scalar model that couples the scalar field and gauge field either through electric permittivity or in the presence of impurity. By considering one-dimensional space, we identify the conditions under which the model with impurity can be treated as an effective model for the Maxwell-scalar system, yielding similar solutions. We also explore a specific class of impurities that modifies the core of the scalar field and find the corresponding nontrivial charge densities and electric fields.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Astronomy & Astrophysics
D. Bazeia, M. A. Liao, M. A. Marques
Summary: We investigate the presence of localized structures for relativistic scalar fields coupled to impurities in arbitrary spatial dimensions. It is shown that the inclusion of explicit coordinate dependence in the Lagrangian does not strongly hinder the existence of stable solutions compared to the impurity-free scenario. We find Bogomol'nyi equations that give rise to global minima of the energy and present some BPS configurations.
Article
Astronomy & Astrophysics
M. Gomes, J. G. Lima, T. Mariz, J. R. Nascimento, A. Yu. Petrov
Summary: In this paper, we demonstrate the possibility of generating a non-Abelian Carroll-Field-Jackiw (CFJ) term in the theory of a non-Abelian gauge field coupled to a spin-3/2 field in the presence of the constant axial vector field. Applying two regularization schemes, we prove that this term is finite and ambiguous, particularly vanishing within the 't Hooft-Veltman scheme.
Article
Astronomy & Astrophysics
B. Altschul, L. C. T. Brito, J. C. C. Felipe, S. Karki, A. C. Lehurm, A. Yu. Petrov
Summary: In this work, we investigate a Lorentz-violating scalar quantum chromodynamics theory with an arbitrary non-Abelian gauge group, which falls under the class of models encompassed by the standard model extension framework. By calculating the divergent quantum corrections at the lowest order in the theory's Lorentz violation parameters, including the renormalization group β-functions, we demonstrate that the Lorentz-violating sector exhibits scale invariance when certain couplings satisfy a particular relation.
Article
Astronomy & Astrophysics
A. J. G. Carvalho, A. G. Dias, A. F. Ferrari, T. Mariz, J. R. Nascimento, A. Yu. Petrov
Summary: In this paper, we discuss various possible schemes for generating the axion-photon interaction term in Lorentz-breaking extensions of QED. We show that only a few schemes allow for a finite term, but even within those schemes, the generated term is ambiguous. We also extract constraints on Lorentz violation parameters based on current experimental limits on the axion-photon coupling.
Article
Astronomy & Astrophysics
B. Altschul, L. C. T. Brito, J. C. C. Felipe, S. Karki, A. C. Lehum, A. Yu. Petrov
Summary: This work considers a CPT-preserving but Lorentz-breaking extension of scalar QED and calculates the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions at the lowest order in the Lorentz-violation parameters. The resulting low-energy effective action is verified to be compatible with the usual gauge invariance requirements. With these results, the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters is completed.
Article
Physics, Multidisciplinary
M. Gomes, T. Mariz, J. R. Nascimento, A. Yu Petrov
Summary: In this paper, we present the simplest Lorentz-breaking extension for the spin-3/2 field theory and couple it to the Abelian gauge field in a Lorentz violating manner. We then calculate the lower and higher-order quantum corrections, including the Carroll-Field-Jackiw (CFJ) term, which is superficially divergent but actually finite and ambiguous, and the lowest CPT-even Lorentz violating term involving the second order in the Lorentz violating vector.
Article
Physics, Particles & Fields
D. Bazeia, M. A. Marques, M. Paganelly
Summary: This work investigates electrically charged structures localized in two and three spatial dimensions. The Maxwell-scalar Lagrangian is used to describe different systems with distinct interactions for scalar fields. The approach relies on finding first order differential equations that solve the equations of motion and ensure stability of the corresponding minimum energy solutions. The paper illustrates the various possibilities in two and three spatial dimensions, examining different examples of electrically charged solutions that have internal structure.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Particles & Fields
D. Bazeia, A. S. Lobao Jr
Summary: We investigate braneworld models with multiple scalar fields and generalized dynamics. The inclusion of cuscuton dynamics, using a new mechanism to control the internal structure of the brane in modified gravity, induces significant changes in the profile of the brane.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Particles & Fields
D. Bazeia, A. S. Lobao Jr
Summary: In this work, we investigate braneworlds generated by multiple scalar fields. The study focuses on the necessary formalism to examine models and evaluate the stability conditions of the gravitational sector under linear perturbations. Specifically, we develop a mechanism to explore distinct scenarios controlled by two and three fields, with a particular emphasis on how these fields can be utilized to modify the internal structure of the brane.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Particles & Fields
D. Bazeia, M. A. Liao, M. A. Marques
Summary: This paper investigates topological vortices in relativistic gauge theories in flat three-dimensional spacetime. By introducing complex scalar fields and generalized permeabilities, the features of static, finite energy solutions within this class of models are analyzed in detail, along with the effect of winding numbers on the magnetic properties of each subsystem. A BPS bound and first order equations are also introduced for a particular class of models, and specific models are solved to find solutions with distinct features compared to the standard Nielsen-Olesen vortex.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Astronomy & Astrophysics
Nelson R. F. Braga, Octavio C. Junqueira
Summary: This study investigates the influence of rotation on the transition temperature of strongly interacting matter produced in non-central heavy ion collisions. By using a holographic description of an AdS black hole, the authors extend the analysis to the more realistic case where the matter spreads over a region around the rotational axis. The results show the coexistence of confined and deconfined phases and are consistent with the concept of local temperature in rotating frames developed by Tolman and Ehrenfest.
Article
Astronomy & Astrophysics
Bing Sun, Jiachen An, Zhoujian Cao
Summary: This paper investigates the effect of gravitational constant variation on the propagation of gravitational waves. By employing two analytical methods, the study finds that variations in the gravitational constant result in amplitude and phase corrections for gravitational waves, and the time variation of the gravitational constant can be constrained through the propagation of gravitational waves.
Article
Astronomy & Astrophysics
Abdellah Touati, Zaim Slimane
Summary: This letter presents the first study of Hawking radiation as a tunneling process within the framework of non-commutative gauge theory of gravity. The non-commutative Schwarzschild black hole is reconstructed using the Seiberg-Witten map and the star product. The emission spectrum of outgoing massless particles is computed using the quantum tunneling mechanism. The results reveal pure thermal radiation in the low-frequency scenario, but a deviation from pure thermal radiation in the high-frequency scenario due to energy conservation. It is also found that noncommutativity enhances the correlations between successively emitted particles.
Article
Astronomy & Astrophysics
Shahar Hod
Summary: The travel times of light signals between two antipodal points on a compact star's surface are calculated for two different trajectories. It is shown that, for highly dense stars, the longer trajectory along the surface may have a shorter travel time as measured by asymptotic observers. A critical value of the dimensionless density-area parameter is determined for constant density stars to distinguish cases where crossing through the star's center or following a semi-circular trajectory on the surface has a shorter travel time as measured by asymptotic observers.
