Article
Astronomy & Astrophysics
Guilherme H. S. Camargo, Ilya L. Shapiro
Summary: This paper reexamines the conformal anomaly in curved spacetime with antisymmetric torsion, and presents a covariant solution of the anomaly-induced effective action. The solution includes both local terms corresponding to derivatives in the conformal anomaly, and a nonlocal part free of ambiguities with a low-energy limit similar to the effective potential in the metric-scalar theory.
Article
Mathematics
Maxim Jeffs
Summary: We explore the definition of the Fukaya category of a singular hypersurface proposed by Auroux and demonstrate its desirable properties. In addition, we discuss how this definition can be applied to homological mirror symmetry at various large complex structure limits.
ADVANCES IN MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
David B. Kaplan, Srimoyee Sen
Summary: This study demonstrates how the index of the fermion operator can be used to uncover gapless modes on defects in topological insulators and superconductors. The 1-loop Feynman diagram reveals the presence of a quantum Hall current flowing on and off the defect, even in systems without conserved currents or chiral anomalies, and highlights the interplay between topology in momentum and coordinate space.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
A. de la Torre, K. L. Seyler, L. Zhao, S. Di Matteo, M. S. Scheurer, Y. Li, B. Yu, M. Greven, S. Sachdev, M. R. Norman, D. Hsieh
Summary: The study reveals the existence of a magneto-chiral state in cuprates that may be relevant to superconductivity, with its characteristics still captured at extremely low temperatures.
Editorial Material
Physics, Multidisciplinary
Adam Schwimmer, Stefan Theisen
Summary: The structure of type A and B trace anomalies is reanalyzed based on the universal behavior of dimension -2 invariant amplitudes. A general argument for trace anomaly matching between the unbroken and broken phases of a CFT is presented. The structure of moduli trace anomalies and their transformations under source reparametrizations are discussed in detail.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Mathematics, Applied
Adara M. Blaga, Antonella Nannicini
Summary: This article introduces the concept of statistical mirror symmetry, the notion of quasi-statistical mirror pairs, and provides examples for certain quasi-statistical manifolds. As an application, it obtains families of almost Ka center dot hler structures on the tangent bundle manifold of almost complex 4-dimensional solvmanifolds without complex structures. Finally, it proves that statistical mirror symmetry can be understood in terms of generalized geometry.
Article
Materials Science, Multidisciplinary
Chong Wang, Alexander Hickey, Xuzhe Ying, A. A. Burkov
Summary: Luttinger's theorem connects the number of electrons per unit cell of a metallic crystalline material with the volume enclosed by its Fermi surface, providing a unified framework for studying ordinary metals and topological (semi)metals. The emergent charge conservation symmetry at each point on the Fermi surface, based on the 't Hooft anomaly, plays a crucial role in determining the anomalous behavior of different materials. This framework leads to generalized chiral or parity anomalies depending on the Fermi surface codimension, resulting in various topological responses related to Fermi surface volume.
Article
Mathematics, Applied
Serhii D. Koval, Roman O. Popovych
Summary: We provide a representation for point symmetry transformations of the (1+1)-dimensional linear heat equation and clarify their interpretation. The pseudogroup of these transformations is shown to have two connected components, indicating that the heat equation has a single independent discrete symmetry of alternating the sign of the dependent variable. We introduce the concept of pseudo-discrete elements of a Lie group and demonstrate that alternating the sign of the space variable is a pseudo-discrete element of the essential point symmetry group of the heat equation. The developed approach can be extended to other linear and nonlinear differential equations with point-symmetry groups that have components linear fractional in some variables.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Physics, Particles & Fields
Ambreen Ahmed, M. Nouman Muteeb
Summary: In this article, we investigate the degenerations of mirror curves associated with Calabi-Yau threefolds X-N, X-M, and their effects on the refined topological string partition function. We demonstrate that when the mirror curve degenerates into a union of lower genus curves, the corresponding partition function factorizes into components corresponding to the degenerate mirror curve. Furthermore, we show that by using the degeneration of a generalized mirror curve, it is possible to obtain the partition function corresponding to X-N, X-M-1 from X-N, X-M.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Astronomy & Astrophysics
Yoshihiro Gunji, Koji Ishiwata
Summary: A generalized superconformal model was studied, leading to a subcritical regime of D-term hybrid inflation. The dynamics of the inflaton-waterfall field resulted in various types of inflaton potential, with the tensor-to-scalar ratio ranging from 10^(-4) to 0.1.
Article
Mathematics
Masao Jinzenji
Summary: This paper presents a geometric proof for the generalized mirror transformation of genus 0 Gromov-Witten invariants of degree k hypersurface in CPN-1.
INTERNATIONAL JOURNAL OF MATHEMATICS
(2023)
Article
Mathematics
Weiqiang He, Alexander Polishchuk, Yefeng Shen, Arkady Vaintrob
Summary: This article proves an all-genus mirror theorem between two cohomological field theories of Landau-Ginzburg type for an invertible quasihomogeneous polynomial w. On the B-side, it is the Saito-Givental theory with a specific choice of a primitive form. On the A-side, it is the matrix factorization CohFT for the dual singularity w(T) with the maximal diagonal symmetry group.
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
(2023)
Article
Mathematics
Yoosik Kim, Siu-Cheong Lau, Xiao Zheng
Summary: We develop a G-equivariant Lagrangian Floer theory and obtain a curved A∞ algebra, and in particular a G-equivariant disc potential. We construct a Morse model, which counts pearly trees in the Borel construction LG. When applied to a smooth moment map fiber of a semi-Fano toric manifold, our construction recovers the T-equivariant toric Landau-Ginzburg mirror of Givental. We also study the S1-equivariant Floer theory of a typical singular fiber of a Lagrangian torus fibration (i.e. a pinched torus) and compute its S1-equivariant disc potential via the gluing technique developed in [14,37].
ADVANCES IN MATHEMATICS
(2023)
Article
Mathematics
Travis Mandel, Helge Ruddat
Summary: We introduce algebraic structures on the polyvector fields that can be used to compute multiplicities in tropical and log Gromov-Witten theory, as well as connect to the mirror symmetry dual deformation theory of complex structures.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
(2023)
Article
Astronomy & Astrophysics
Mauricio Hippert, Jack Setford, Hung Tan, David Curtin, Jacquelyn Noronha-Hostler, Nicolas Yunes
Summary: The researchers used realistic equations of state and first-principle quantum chromodynamic calculations for the first time to find the structure of mirror neutron stars, enabling them to predict gravitational wave signals and demonstrate the ability to explore dark sectors connected to the hierarchy problem.
Article
Physics, Particles & Fields
Sergio Ferrara, Dieter Lust
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Multidisciplinary
Sergio Ferrara, Marine Samsonyan, Magnus Tournoy, Antoine Van Proeyen
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2018)
Article
Physics, Particles & Fields
A. Anastasiou, L. Borsten, M. J. Duff, A. Marrani, S. Nagy, M. Zoccali
Article
Physics, Particles & Fields
Sergio Ferrara, Alex Kehagias, Dieter Lust
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Multidisciplinary
A. Anastasiou, L. Borsten, M. J. Duff, S. Nagy, M. Zoccali
PHYSICAL REVIEW LETTERS
(2018)
Article
Physics, Particles & Fields
L. Borsten, M. J. Duff, A. Marrani
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Sergio Ferrara, Alex Kehagias, Dieter Lust
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
L. Borsten, M. J. Duff, J. J. Fernandez-Melgarejo, A. Marrani, E. Torrente-Lujan
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Nuclear
J. S. Ben-Benjamin, M. O. Scully, S. A. Fulling, D. M. Lee, D. N. Page, A. A. Svidzinsky, M. S. Zubairy, M. J. Duff, R. Glauber, W. P. Schleich, W. G. Unruh
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2019)
Article
Physics, Multidisciplinary
M. J. Duff
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
Article
Physics, Particles & Fields
L. Borsten, M. J. Duff, S. Nagy
Summary: The Euler characteristics of compact manifolds X and Y obey the Kfinneth formula when both are even dimensional, with additional discussion on odd-dimensional cases. A linear combination of Betti numbers, called rho, is introduced and its properties explored in relation to chi(X) when Y is odd dimensional. Various physical applications of rho, including in M-theory compactifications and Type IIA anomalies, are discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
M. J. Duff
Summary: This article summarizes the research on BPS p-brane configurations and corresponding CFTs. The initial study was based on a 1987 paper, which proposed various membrane configurations with symmetries appearing on the boundary of anti-de Sitter space. Through a literature search, the authors confirmed that all the empty slots in the research on these configurations have now been filled.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Proceedings Paper
Mathematics
A. Anastasiou, L. Borsten, M. J. Duff, A. Marrani, S. Nagy, M. Zoccali
NONASSOCIATIVE MATHEMATICS AND ITS APPLICATIONS
(2019)
Article
Astronomy & Astrophysics
A. Anastasiou, L. Borsten, M. J. Duff, M. J. Hughes, A. Marrani, S. Nagy, M. Zoccali
Proceedings Paper
Physics, Multidisciplinary
L. Borsten, M. J. Duff
FUTURE OF OUR PHYSICS INCLUDING NEW FRONTIERS
(2017)
