Article
Physics, Particles & Fields
Tatsuma Nishioka, Tadashi Takayanagi, Yusuke Taki
Summary: The paper introduces the concept of topological pseudo entropy and examines its applications in Chern-Simons gauge theory. It demonstrates the equivalence between topological pseudo entropy and interface entropy, and also finds that the topological interface entropy for rational CFTs has a contribution identical to the topological entanglement entropy on a torus.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
M. Y. Avetisyan, R. L. Mkrtchyan
Summary: In this paper, we present the partition function of the refined Chern-Simons theory on S-3 with arbitrary A, B, C, D gauge algebra in terms of multiple sine functions. We conjecture a duality to some refined and orientifolded versions of the topological string on the resolved conifold and identify different contributions. The free energies for D and C algebras have contributions from orientable and non-orientable surfaces, while the B algebra has different contributions. We also propose a modular-invariant representation and calculate some non-perturbative corrections.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Naotaka Kubo, Shuichi Yokoyama
Summary: The study presents a method to compute the topological phase factor of partition function in pure Chern-Simons theory, incorporating supersymmetric localization. The developed regularization method ensures the preservation of supersymmetry, resulting in the appearance of the topological phase. Numerical calculations confirm that the partition function computed using this method satisfies various level rank dualities within a certain range, including those proposed in recent literature.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yan-Feng Hang, Hong-Jian He, Cong Shen
Summary: This paper studies the mechanism of topological mass-generation in 3d Chern-Simons gauge theories and the energy cancellation mechanism in N-gauge boson scattering amplitudes.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Nicola Gorini, Luca Griguolo, Luigi Guerrini, Silvia Penati, Domenico Seminara, Paolo Soresina
Summary: This study examines the one-dimensional topological sector of N = 6 ABJ(M) theory and its relation with the mass-deformed partition function on S-3. By computing the two-point function at two-loop, evidence is provided for the correlation functions of dimension-one topological operators. The results suggest the possibility of localizing the topological sector of ABJ(M) theory and its potential applications in the bootstrap program for 3d SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jackson R. Fliss
Summary: In this study, we investigate the description of knot and link states in 3D Chern-Simons theory by stabilizer states, and quantify their magic using a specific magic monotone known as mana. Our results show that knot and link states in SU(2)(k) Chern-Simons theory are generically magical, with a majority of link states exhibiting entirely long-range magic. Further analysis is carried out on mana associated with correlations between separate boundaries, particularly for torus links.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Aditya Dwivedi, Siddharth Dwivedi, Bhabani Prasad Mandal, Pichai Ramadevi, Vivek Kumar Singh
Summary: This study explores the entanglement entropy of quantum systems related to specific knot structures using Chern-Simons theory, analysing the behavior of the partition functions for SU(2) and SO(3) gauge groups in the large coupling limit k. The results suggest that the partition function for SU(2) group grows polynomially with k, while for the SO(3) group, an exponential growth is conjectured. Additionally, the Renyi entropies associated with the SO(3) group are proposed to converge to a finite value in the large k limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dmitry Melnikov
Summary: Topological quantum field theories (TQFT) capture the properties of quantum states through the topological features of abstract manifolds. By studying the simplest topologies provided by a specific TQFT, we gain insight into different concepts and phenomena of quantum mechanics.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Masataka Watanabe
Summary: By analyzing SU(2) Chern-Simons theories at large baryon number on T-2 x Double-struck capital R at the IR fixed-point, we discovered a homogeneous but anisotropic ground state configuration. This suggests that the theory does not reduce to the singlet sector of the O(4) Wilson-Fisher fixed-point at large-k. This paper marks a primitive step towards quantitative analysis of Chern-Simons-matter dualities using the large charge expansion.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Laura Andrianopoli, Gaston Giribet, Dario Lopez Diaz, Olivera Miskovic
Summary: We study static black hole solutions with locally spherical horizons coupled to non-Abelian fields in N = 4 Chern-Simons AdS5 supergravity, characterized by three parameters related to mass, axial torsion, and internal soliton amplitude, as well as two parameters related to gravitational hair. The solutions describe geometries that can be global AdS spaces, naked singularities, or (non-)extremal black holes. In different asymptotically AdS solutions, physical properties vary depending on whether the spatial section at radial infinity is a 3-sphere or projective 3-space. The 3-parametric solutions possess a topological structure including SU(2) solitons with nontrivial winding around the black hole horizon, with interesting features in the extremal black hole limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ezra Getzler
Summary: The differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. The variational complex in the Batalin-Vilkovisky formalism for a general field theory is also a differential graded Lie algebra.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sachin Jain, Renjan Rajan John
Summary: This paper investigates the relation between the parity-odd and parity-even parts of correlation functions in theories with conserved or weakly broken higher spin symmetries, as well as their connection to the parity-even part computed from free theories. The well-known link between CFT correlation functions and de-Sitter amplitudes in one higher dimension implies a connection between parity-even and parity-odd amplitudes calculated using non-minimal interactions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sachin Jain, Renjan Rajan John, Vinay Malvimat
Summary: This work presents momentum space Ward identities related to broken higher spin symmetry as an alternate approach to compute correlators of spinning operators in interacting theories. The authors use higher spin equations to obtain parity even and parity odd contributions to correlators involving spinning and scalar operators in a general kinematic regime, and match their results with existing literature when available. The interesting fact that higher spin equations can be used away from the conformal fixed point is illustrated by considering mass deformed free boson theory and solving for two-point functions of spinning operators using higher spin equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Zhihao Duan, Jie Gu
Summary: In this note, the resurgent structure of the sl(2, DOUBLE-STRUCK CAPITAL C) Chern-Simons state integral model on knot complements S-3\4(1), S-3\5(2) with generic discrete level k >= 1 and with small boundary holonomy deformation is studied. The resurgent structure of the asymptotic series is universal despite the increasing complication of the series as the level k increases: both the distribution of Borel plane singularities and the associated Stokes constants are independent of the level k.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
M. Y. Avetisyan, R. L. Mkrtchyan
Summary: A new expression for the partition function of the refined Chern-Simons theory on S-3 is introduced, which is explicitly equal to 1 when the coupling constant is zero. The previously known representation is shown to be generalized to all simply laced algebras, with similar representations derived for non-simply laced gauge algebras, enabling transformation into a product of multiple sine functions for further duality with refined topological strings.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Jeffrey C. Y. Teo, Taylor L. Hughes, Eduardo Fradkin
Article
Materials Science, Multidisciplinary
S. L. Gleason, Y. Gim, T. Byrum, A. Kogar, P. Abbamonte, E. Fradkin, G. J. MacDougall, D. J. Van Harlingen, Xiangde Zhu, C. Petrovic, S. L. Cooper
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Materials Science, Multidisciplinary
X. M. Chen, A. J. Miller, C. Nugroho, G. A. de la Pena, Y. I. Joe, A. Kogar, J. D. Brock, J. Geck, G. J. MacDougall, S. L. Cooper, E. Fradkin, D. J. Van Harlingen, P. Abbamonte
Article
Materials Science, Multidisciplinary
Krishna Kumar, Kai Sun, Eduardo Fradkin
Article
Materials Science, Multidisciplinary
Rodrigo Soto-Garrido, Gil Young Cho, Eduardo Fradkin
Article
Materials Science, Multidisciplinary
Kai Sun, Krishna Kumar, Eduardo Fradkin
Article
Physics, Multidisciplinary
Andrey Gromov, Gil Young Cho, Yizhi You, Alexander G. Abanov, Eduardo Fradkin
PHYSICAL REVIEW LETTERS
(2015)
Article
Physics, Multidisciplinary
Eduardo Fradkin, Steven A. Kivelson, John M. Tranquada
REVIEWS OF MODERN PHYSICS
(2015)
Article
Physics, Mathematical
Eduardo Fradkin
JOURNAL OF STATISTICAL PHYSICS
(2017)
Article
Multidisciplinary Sciences
Anshul Kogar, Melinda S. Rak, Sean Vig, Ali A. Husain, Felix Flicker, Young Il Joe, Luc Venema, Greg J. MacDougall, Tai C. Chiang, Eduardo Fradkin, Jasper van Wezel, Peter Abbamonte
Article
Physics, Multidisciplinary
Sangjun Lee, John Collini, Stella X. L. Sun, Matteo Mitrano, Xuefei Guo, Chris Eckberg, Johnpierre Paglione, Eduardo Fradkin, Peter Abbamonte
Summary: This study establishes BSNA as a rare material containing three distinct CDWs and an exciting test bed for studying the coupling between CDW, nematic, and superconducting orders.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
R. S. Severino, P. D. Mininni, E. Fradkin, V. Bekeris, G. Pasquini, G. S. Lozano
Summary: In this work, we investigated the interaction between superconductivity and nematicity, specifically focusing on how nematicity affects the vortex-vortex interaction. By using the solutions of the time-dependent Ginzburg-Landau equations and implementing a pseudospectral method, we found that there is a competing effect between the superconductor and nematic order parameters, with the competitive or cooperative nature of the nematic order parameter determining the attractive or repulsive nature of the vortex-vortex interaction.
Article
Materials Science, Multidisciplinary
Hart Goldman, Ramanjit Sohal, Eduardo Fradkin
Summary: Researchers constructed a Fibonacci state of bosons using non-Abelian dualities, and obtained the Fibonacci state by interlayer clustering of composite vortices along with flux attachment.
Article
Materials Science, Multidisciplinary
Hart Goldman, Ramanjit Sohal, Eduardo Fradkin
Article
Materials Science, Multidisciplinary
Ramanjit Sohal, Eduardo Fradkin