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We derive (quasi-)quantum groups in 2+1 dimensional topological field theory directly from the classical action and the path integral. Detailed computations are carried out for the Chern-Simons theory with finite gauge group. The principles…

High Energy Physics - Theory · Physics 2016-09-06 Daniel S. Freed

We consider topological field theories that compute the Reidemeister-Milnor-Turaev torsion in three dimensions. These are the psl(1|1) and the U(1|1) Chern-Simons theories, coupled to a background complex flat gauge field. We use the 3d…

High Energy Physics - Theory · Physics 2015-05-13 Victor Mikhaylov

We propose a renormalization scheme for Entanglement Entropy of 3D CFTs with a 4D asymptotically AdS gravity dual in the context of the gauge/gravity correspondence. The procedure consists in adding the Chern form as a boundary term to the…

High Energy Physics - Theory · Physics 2018-05-23 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part…

High Energy Physics - Theory · Physics 2016-09-21 Peter A. R. Jones , Marika Taylor

We study the multi-boundary entanglement structure of the state associated with the torus link complement $S^3 \backslash T_{p,q}$ in the set-up of three-dimensional SU(2)$_k$ Chern-Simons theory. The focal point of this work is the…

High Energy Physics - Theory · Physics 2020-12-24 Siddharth Dwivedi , Vivek Kumar Singh , Abhishek Roy

We study the Chern-Simons black holes in d-dimensions and we calculate analytically the quasi-normal modes of the scalar perturbations and we show that they depend on the highest power of curvature present in the Chern-Simons theory. We…

High Energy Physics - Theory · Physics 2014-11-20 Pablo Gonzalez , Eleftherios Papantonopoulos , Joel Saavedra

In the twisted M-theory setting, various types of fusion of M2 and M5 branes induce coproducts between the algebra of operators on M2 branes and the algebra of operators on M5 branes. By doing a perturbative computation in the gravity side,…

High Energy Physics - Theory · Physics 2021-05-19 Jihwan Oh , Yehao Zhou

The $\mathrm{U}(1)$ Chern-Simons theory can be extended to a topological $\mathrm{U}(1)^n$ theory by taking a combination of Chern-Simons and BF actions, the mixing being achieved with the help of a collection of integer coupling constants.…

Mathematical Physics · Physics 2025-07-09 Han-Miru Kim , Philippe Mathieu , Michail Tagaris , Frank Thuillier

We compute thermal corrections to R\'enyi entropies of $d$ dimensional conformal field theories on spheres. Consider the $n$th R\'enyi entropy for a cap of opening angle $2 \theta$ on $S^{d-1}$. From a Boltzmann sum decomposition and the…

High Energy Physics - Theory · Physics 2021-07-02 Christopher P. Herzog , Jun Nian

We propose a holographic formalism for a timelike entanglement entropy in non-conformal theories. This pseudoentropy is a complex-valued measure of information, which, in holographic non-conformal theories, receives contributions from a set…

High Energy Physics - Theory · Physics 2024-04-03 Mir Afrasiar , Jaydeep Kumar Basak , Dimitrios Giataganas

Reducing a 3-dimensional Chern-Simons term by a symmetry yields other topologically interesting structures. Specifically, reducing by radial symmetry results in a 1-dimensional quantum mechanical model, which has recently been used in an…

High Energy Physics - Theory · Physics 2014-11-18 R. Jackiw , S. -Y. Pi

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

High Energy Physics - Theory · Physics 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

We extend the approach of Casini, Huerta and Myers to a new calculation of the Renyi entropy of a general CFT in d dimensions with a spherical entangling surface, in terms of certain thermal partition functions. We apply this approach to…

High Energy Physics - Theory · Physics 2012-11-07 Janet Hung , Robert C. Myers , Michael Smolkin , Alexandre Yale

We consider (4+1)-dimensional topologically massive tensor gauge theory. This theory is an analog of the (2+1)-dimensional topologically massive Maxwell-Chern-Simons theory. If the space has a boundary, we find that a (3+1)-dimensional…

High Energy Physics - Theory · Physics 2022-03-23 Satoshi Yamaguchi

The Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable…

High Energy Physics - Theory · Physics 2009-09-25 Luigi Pilo

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

In this work we revisit the problem of contributions of excited holographic states to the entanglement entropy in two-dimensional conformal field theories. Using the results of replica trick method we find three expressions for these…

High Energy Physics - Theory · Physics 2016-08-16 Radoslav C. Rashkov

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

High Energy Physics - Theory · Physics 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

The notion of {\em entanglement entropy} in quantum mechanical systems is an important quantity, which measures how much a physical state is entangled in a composite system. Mathematically, it measures how much the state vector is not…

Number Theory · Mathematics 2023-12-29 Hee-Joong Chung , Dohyeong Kim , Minhyong Kim , Jeehoon Park , Hwajong Yoo