Article
Physics, Particles & Fields
Anton Galajinsky
Summary: In this paper, a natural N=1 supersymmetric extension of the Euler top is considered, introducing a fermionic counterpart for each bosonic degree of freedom. The equations of motion, symmetries, and integrals of motion are provided. It is shown that, although the system lacks integrability in general, there exists an interesting integrable reduction where all fermions are proportional to a conserved supercharge.
Article
Astronomy & Astrophysics
Rodolfo Casana, Andre C. Santos
Summary: The study introduces self-dual (topological) solitons in a gauged version of the baby Skyrme model with the Born-Infeld term governing the gauge field dynamics. By successfully implementing the Bogomol'nyi-Prasad-Sommerfield formalism, the study establishes a lower bound for energy and respective self-dual equations with solutions saturating such limit. The energy lower bound is quantized and proportional to the topological charge of the Skyrme field, while the total magnetic flux remains nonquantized.
Article
Physics, Particles & Fields
Sajid Ali, Georg Bergner, Camilo Lopez, Istvan Montvay, Gernot Muenster, Stefano Piemonte
Summary: We extend our analysis of bound states in N = 1 supersymmetric Yang-Mills theory by considering baryonic operators composed of three gluino fields. These states are similar to baryons in QCD, but their properties and the fermion line contractions involved in their correlation functions are different due to the difference between gluino and quark fields. In this work, we explain the derivation of these operators and the contractions needed in numerical calculations of their correlators, and provide an initial estimate of the two-point function and the mass of the lightest baryonic state in N = 1 supersymmetric Yang-Mills theory.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Mathematics
Dong Li
Summary: The paper investigates hedgehog solutions in the (3+1)-dimensional Skyrme model, an energy-supercritical problem, and introduces a new strategy to prove global well-posedness for arbitrarily large initial data.
DUKE MATHEMATICAL JOURNAL
(2021)
Article
Physics, Particles & Fields
Gabi Zafrir
Summary: We propose a certain 4dN = 1 SU(2) x SU(2) gauge theory that flows in the IR to an N = 3 SCFT with a free chiral field, and discuss the properties expected of various RG invariant quantities from N = 3 superconformal symmetry. Additionally, we present a generalization to another N = 1 model related to a rank 3 N = 3 SCFT through certain marginal deformations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Tianjun Li, Rui Sun, Chi Zhang
Summary: In this study, we investigate the construction of four-family N = 1 supersymmetric Pati-Salam models from Type IIA T-6/Z(2) x Z(2) orientifold with intersecting D6-branes. Utilizing a deterministic algorithm, we obtain various models with distinct gauge coupling relations at the string scale, some of which exhibit gauge coupling unification. These models provide potential opportunities for studying supersymmetry breaking and moduli stabilization.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2022)
Article
Physics, Mathematical
Sven Bjarke Gudnason, Minoru Eto, Muneto Nitta
Summary: The study investigates strings in N=2 supersymmetric U(1)(N) gauge theories with N hypermultiplets, considering arbitrary Fayet-Iliopoulos parameters and an invertible charge matrix. It is found that the Bogomol'nyi-Prasad-Sommerfield solutions have a tension linear in magnetic fluxes, which are related to winding numbers. The research establishes three types of solutions for the constraint equations, and it is shown that seemingly vanishing Bogomol'nyi bounds cannot have solutions. Additionally, the most general vortex equations are derived, showing an Abelian appearance after solving the constraint equations.
JOURNAL OF MATHEMATICAL PHYSICS
(2021)
Article
Astronomy & Astrophysics
G. Bergner, M. Cost, H. Panagopoulos, I. Soler, G. Spanoudes
Summary: In this work, we perturbatively study the Noether supercurrent operator in the lattice formulation of supersymmetric N = 1 Yang-Mills theory, determining renormalization and mixing coefficients. The lattice results have potential applications in nonperturbative studies.
Article
Physics, Particles & Fields
Antonio Delgado, Adam Martin, Runqing Wang
Summary: In this paper, we use the Hilbert series machinery to count the number of independent operators at arbitrary mass dimension in N = 1 supersymmetric gauge theories, and derive their field and derivative content. We extend a technique from our previous work to handle integration by parts redundancies to vector superfields. The method proposed here can be applied to both abelian and non-abelian gauge theories and for any set of (chiral/antichiral) matter fields. We provide a detailed analysis for the abelian case with single flavor chiral superfield at mass dimension eight, and include other examples in the appendices.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Francesco Benini, Sergio Benvenuti
Summary: The study focuses on three-dimensional sQED with 2 flavors and minimal supersymmetry, exploring models dual to Gross-Neveu-Yukawa theories. The U(2) ultraviolet global symmetry is enhanced in the infrared, such as to O(4) or SU(3), which is similar to the behavior of non-supersymmetric QED with 2 flavors. Perturbative analysis shows that superpotential deformations preserving U(2) in the Gross-Neveu-Yukawa models are irrelevant, indicating stable fixed points with enhanced symmetry. Additionally, an example of N = 2 sQED with 4 flavors is constructed, exhibiting enhanced SO(6) symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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
Ling Chen, Xiaoping Xu
Summary: Motivated by understanding higher-dimensional supersymmetric conformal field theory, the study focuses on various inhomogeneous oscillator representations of sl(n + 1 | m) and osp(m | n + 1) on supersymmetric polynomial algebras and spaces of supersymmetric exponential-polynomial functions. The explicit structures of certain Harish-Chandra modules and Whittaker-type modules of these Lie superalgebras are found in particular.
COMMUNICATIONS IN ALGEBRA
(2021)
Article
Physics, Multidisciplinary
Daisuke Kadoh, Naoya Ukita
Summary: This study proposes a supersymmetric gradient flow for four-dimensional N = 1 supersymmetric QCD (SQCD) and provides flow equations for both the superfield and component fields. The superfield flow equation is defined for each of the gauge and matter multiplets individually. With the introduction of gauge fixing, the component-field flow equation is defined in a gauge covariant manner in the Wess-Zumino gauge. It is found that the latter equation is supersymmetric up to a gauge transformation, as the commutator of the flow time derivative and the supersymmetry transformation vanishes. A simplified flow using the gradient of supersymmetric Yang-Mills (SYM) action instead of SQCD action is also discussed for defining a gauge multiplet flow.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2023)
Article
Astronomy & Astrophysics
Francisco Navarro-Lerida, Eugen Radu, D. H. Tchrakian
Summary: This study investigates an Abelian gauged O(5) Skyrme model in 4+1 dimensions, aiming to expose the unusual relation between mass-energy, electric charge, and angular momentum, as well as the change in baryon number due to the influence of the Abelian field on the Skyrmion. The model involves Chern-Simons dynamics and dynamics of the gauged Skyrme scalar, allowing for solutions with varying asymptotic values of the magnetic field and resulting in these unique properties.
Article
Physics, Particles & Fields
Dan Xie, Wenbin Yan
Summary: A large class of new N=1 SCFTs can be obtained by turning on N=1 preserving deformations for N=2 Argyres-Dougals theories. In this work, N=2 superconformal indices are used to obtain indices of N=1 SCFTs, which are then used to derive chiral rings of N=1 SCFTs. For a large class of N=2 theories, it is found that the IR theory contains only free chirals when the parent N=2 theory is deformed using the Coulomb branch operator with smallest scaling dimension. Our results provide interesting insights for the study of N=1 theories, such as a-maximization, accidental symmetries, chiral ring, etc.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
C. Adam, K. Oles, T. Romanczukiewicz, A. Wereszczynski
Summary: We find that the canonical moduli space for different solitonic processes can have a boundary that can be reached within a finite time evolution. We demonstrate that this boundary is not a failure of the moduli space approach, but rather has a physical significance. In our example, it represents the complete annihilation of a colliding kink and antikink after a finite time. We also discover that the solutions near the boundary exhibit an approximate self-similar form.
Article
Physics, Particles & Fields
J. G. F. Campos, A. Mohammadi, J. M. Queiruga, A. Wereszczynski, W. J. Zakrzewski
Summary: We demonstrate the existence of a spectral wall in the dynamics of a bosonic soliton, resulting from the transition of a normal mode to the continuum spectrum after coupling the original bosonic model to fermions. This spectral wall is experienced when either the boson or fermion field is in an excited state. Additionally, when crossing the spectral wall, an incoming kink-fermion bound state can separate into a pure bosonic kink that continues moving to spatial infinity and a fermionic cloud that spreads in the region before the wall.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Review
Multidisciplinary Sciences
Christoph Adam, Alberto Garcia Martin-Caro, Miguel Huidobro, Andrzej Wereszczynski
Summary: This article presents a general review of the crystalline solutions of the generalized Skyrme model and their applications in the study of cold nuclear matter at finite density and the Equation of State (EOS) of neutron stars. It is shown that the ground state of the Skyrme model on the three torus corresponds to configurations with different symmetries, and phase transitions between these configurations occur. The effects of nonzero finite isospin asymmetry and strange degrees of freedom are also explored, and an approximate EOS of dense matter is constructed by fitting the free parameters of the model to relevant nuclear observables close to saturation density.
Article
Astronomy & Astrophysics
Christoph Adam, Alberto Garcia Martin-Caro, Miguel Huidobro, Andrzej Wereszczynski, Ricardo Vazquez
Summary: In this study, we investigate the possibility of a charged kaon condensate in neutron star cores using a generalized Skyrme model. We employ the bound state approach by Callan and Klebanov to obtain an effective potential for the s-wave kaon condensate in the medium. We predict the onset of kaon condensation at a certain threshold density, which depends on the model parameters and ranges between 1.5 and 2.5 times saturation density. We also calculate the particle fractions and equation of state for dense matter in the phase with kaon condensation, and discuss the impact of such condensates on the mass-radius curves and observable properties of neutron stars with kaon condensed cores.
Article
Astronomy & Astrophysics
Christoph Adam, Alberto Garcia Martin-Caro, Miguel Huidobro, Ricardo Vazquez, Andrzej Wereszczynski
Summary: The canonical quantization method for collective coordinates in crystalline configurations of the generalized Skyrme model is used to find the quantum ground state of skyrmion crystals and study the quantum corrections to the binding energy resulting from the isospin degrees of freedom. This allows for a consistent description of asymmetric nuclear matter within the Skyrme framework.
Article
Astronomy & Astrophysics
Christoph Adam, Jorge Castelo, Alberto Garcia Martin-Caro, Miguel Huidobro, Ricardo Vazquez, Andrzej Wereszczynski
Summary: In this work, a universal relation among the moment of inertia, angular momentum, and quadrupole moment of rotating boson stars is discovered, which differs from the relation found in neutron stars. This provides a diagnostic tool to distinguish boson stars from other celestial bodies.
Article
Astronomy & Astrophysics
Christoph Adam, Alberto Garcia Martin-Caro, Miguel Huidobro, Ricardo Vazquez, Andrzej Wereszczynski
Summary: In this work, different crystalline phases and phase transitions between them are analyzed within the generalized Skyrme model, aiming to improve the description of symmetric nuclear matter in both low and high density regimes.
Article
Astronomy & Astrophysics
Jarah Evslin, Chris Halcrow, Tomasz Romanczukiewicz, Andrzej Wereszczynski
Summary: This paper investigates the behavior of spectral walls in a quantum theory. The study finds that the antikinks can be influenced by the spectral wall even when the bound mode is not excited. However, the classical effects of the spectral wall are not observed in our quantum calculation.
Article
Astronomy & Astrophysics
C. Adam, N. S. Manton, K. Oles, T. Romanczukiewicz, A. Wereszczynski
Summary: The paper presents a perturbative approach to the relativistic moduli space by expanding the Derrick scaling parameter and treating higher-order Derrick modes as new degrees of freedom. This approach systematically incorporates relativistic corrections in kink scattering and provides an accurate description of kink-antikink collisions and the fractal structure in the formation of the final state in phi(4) field theory.
Article
Astronomy & Astrophysics
C. Adam, D. Ciurla, K. Oles, T. Romanczukiewicz, A. Wereszczynski
Summary: In some kink-antikink collisions, sphalerons, rather than asymptotic free soliton states, can be the source of internal degrees of freedom triggering the resonance phenomenon responsible for the fractal structure in the final state formation.
