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We study the reflected entropy between two spatial regions in $(2+1)$-dimensional Chern-Simons theories. Taking advantage of its replica trick formulation, the reflected entropy is computed using the edge theory approach and the surgery…

高能物理 - 理论 · 物理学 2021-02-03 Clément Berthiere , Hongjie Chen , Yuefeng Liu , Bin Chen

Electric and magnetic charges of a certain class of operators in N=2 large N quiver Chern-Simons theories are investigated. We consider only non-chiral theories, in which every bi-fundamental field appears with its conjugate representation.…

高能物理 - 理论 · 物理学 2009-04-04 Yosuke Imamura

We consider Chern-Simons theory with complex gauge group and present a complete non-perturbative evaluation of the path integral (the partition function and certain expectation values of Wilson loops) on Seifert fibred 3-Manifolds. We use…

高能物理 - 理论 · 物理学 2016-03-04 Matthias Blau , George Thompson

There is an avatar of the little hierarchy problem of the MSSM in 3-dimensional supersymmetry. We propose a solution to this problem in AdS$_3$ based on the AdS/CFT correspondence. The bulk theory is a supergravity theory in which U(1)…

高能物理 - 理论 · 物理学 2016-06-22 Xi Dong , Daniel Z. Freedman , Yue Zhao

We study aspects of the AdS/CFT correspondence for $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory on $S^3/\Gamma$, where $\Gamma \subset SU(2)$ is a finite subgroup, leading to an ADE singularity in the bulk AdS geometry. We show that a…

高能物理 - 理论 · 物理学 2026-01-23 Sunjin Choi , Yuji Tachikawa

Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes'…

广义相对论与量子宇宙学 · 物理学 2011-11-15 Hanno Sahlmann , Thomas Thiemann

In this thesis Chern-Simons theories based on Lie algebras with invariant metric are constructed. It is discussed how contractions lead systematically to (higher spin) kinematical algebras of, e.g., Poincar\'e, Galilei and Carroll type and…

高能物理 - 理论 · 物理学 2021-03-10 Stefan Prohazka

We derive the sum rule for the spectral function of the stress-energy tensor in the bulk (uniform dilatation) channel in a general class of strongly coupled field theories. This class includes theories holographically dual to a theory of…

高能物理 - 唯象学 · 物理学 2015-05-27 Paul M. Hohler , Mikhail A. Stephanov

We establish a direct correspondence between certain higher-rank p-form Chern-Simons topological type theories in the bulk of a manifold with boundary and particular sectors of supergravity models on the boundary, provided that certain…

高能物理 - 理论 · 物理学 2007-05-23 I. V. Lavrinenko

Teichm\"uller TQFT is a unitary 3d topological theory whose Hilbert spaces are spanned by Liouville conformal blocks. It is related but not identical to PSL(2,R) Chern-Simons theory. To physicists, it is known in particular in the context…

高能物理 - 理论 · 物理学 2018-05-09 Victor Mikhaylov

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms.…

高能物理 - 理论 · 物理学 2011-02-04 Robert C. Myers , Aninda Sinha

Chern-Simons (CS) forms generalize the minimal coupling between gauge potentials and point charges, to sources represented by charged extended objects (branes). The simplest example of such a CS-brane coupling is a domain wall coupled to…

高能物理 - 理论 · 物理学 2013-05-30 Luis Huerta , Jorge Zanelli

We use localization to compute the partition function of a four dimensional, supersymmetric, abelian gauge theory on a hemisphere coupled to charged matter on the boundary. Our theory has eight real supercharges in the bulk of which four…

高能物理 - 理论 · 物理学 2020-05-20 Rajesh Kumar Gupta , Christopher P. Herzog , Imtak Jeon

In this paper, we discuss how gauging one-form symmetries in Chern-Simons theories is implemented in an A-twisted topological open string theory. For example, the contribution from a fixed H/Z bundle on a three-manifold M, arising in a BZ…

高能物理 - 理论 · 物理学 2024-10-17 Tony Pantev , Eric Sharpe , Xingyang Yu

Recently proposed double trace deformations of large $N$ holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as living on successive finite radius…

高能物理 - 理论 · 物理学 2018-12-20 Vasudev Shyam

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

高能物理 - 理论 · 物理学 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more…

高能物理 - 理论 · 物理学 2009-11-07 Mina Aganagic , Albrecht Klemm , Marcos Marino , Cumrun Vafa

We study several different $Z_2$ topological ordered states in frustrated spin systems. The effective theories for those different Z_2 topological orders all have the same form -- a Z_2 gauge theory which can also be written as a mutual…

强关联电子 · 物理学 2009-11-13 Su-Peng Kou , Michael Levin , Xiao-Gang Wen

We extend our topological renormalization scheme for Entanglement Entropy to holographic CFTs of arbitrary odd dimensions in the context of the AdS/CFT correspondence. The procedure consists in adding the Chern form as a boundary term to…

高能物理 - 理论 · 物理学 2018-05-30 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

We present an elementary review of some aspects of Chern-Simons theory with complex gauge group SL(N,C). We discuss some of the challenges in defining the theory as a full-fledged TQFT, as well as some successes inspired by the 3d-3d…

高能物理 - 理论 · 物理学 2017-10-25 Tudor Dimofte
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