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Related papers: Solving 3d Gravity with Virasoro TQFT

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We investigate the Chern-Simons-like formulation of exotic general massive gravity models within the framework of third-way to three-dimensional gravity. We classify our construction into two main approaches: one using torsional…

High Energy Physics - Theory · Physics 2024-12-03 Büşra Dedeoğlu , Mehmet Ozkan , Özgür Sarıoğlu

We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and bulk structures. Working with the Ponzano-Regge topological…

High Energy Physics - Theory · Physics 2020-03-18 Christophe Goeller , Etera R. Livine , Aldo Riello

We consider three-dimensional Einstein gravity in Euclidean signature with a finite boundary of torus topology endowed with an induced metric of fixed conformal class and a constant trace of extrinsic curvature $K$. For vanishing, positive,…

High Energy Physics - Theory · Physics 2026-05-11 Weam Abou Hamdan , Chawakorn Maneerat

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Ivo Sachs

We construct a family of 3d quantum field theories $\mathcal T_{n,k}^A$ that conjecturally provide a physical realization -- and derived generalization -- of non-semisimple mathematical TQFT's based on the modules for the quantum group…

High Energy Physics - Theory · Physics 2021-12-06 Thomas Creutzig , Tudor Dimofte , Niklas Garner , Nathan Geer

Motivated by some previously known facts from mathematical and physics literature, we explore certain relations between 3-dimensional topological gauge theories with continuous and finite gauge groups, commonly known as Chern-Simons (CS)…

High Energy Physics - Theory · Physics 2025-12-15 Thomas Nicosanti , Pavel Putrov , Johann Quenta-Raygada

We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this…

High Energy Physics - Theory · Physics 2024-03-29 Chen-Te Ma

We show that for four-dimensional spacetimes with a non-null hypersurface orthogonal Killing vector and for a Chern-Simons (CS) background (non-dynamical) scalar field, which is constant along the Killing vector, the source-free equations…

High Energy Physics - Theory · Physics 2014-11-20 Haji Ahmedov , Alikram N. Aliev

This paper (completed March 1992) is an extensively revised and expanded version of work which appeared July 1991 on the initial incarnation of the hepth bulletin board, and which was published in the Proceedings of the Workshop on String…

High Energy Physics - Theory · Physics 2009-10-22 C. Imbimbo

We present a three-dimensional Chern-Simons gravity based on a deformation of the Maxwell algebra. This symmetry allows introduction of a non-vanishing torsion to the Maxwell Chern-Simons theory, whose action recovers the Mielke-Baelker…

High Energy Physics - Theory · Physics 2020-11-02 H. Adami , P. Concha , E. Rodriguez , H. R. Safari

We analyze (2+1)-dimensional gravity with a Chern--Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2,R) "vector" Chern-Simons terms,…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

We define and study Conformal Turaev-Viro (CTV) theory, a dual formulation of Virasoro TQFT based on triangulating 3-manifolds with tetrahedra. Edges of the triangulation are labeled by continuous conformal weights, and tetrahedra are glued…

High Energy Physics - Theory · Physics 2025-07-17 Thomas Hartman

Kaluza-Klein reduction of the 3-dimensional gravitational Chern-Simons term leads to a 2-dimensional theory that supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries.

High Energy Physics - Theory · Physics 2016-11-09 Alfredo Iorio

In this paper, we compute the partition functions of $\mathcal{N}=1$ SUGRA for different boundary topologies, i.e. sphere and torus, using super-Virasoro TQFT. We use fusion and modular kernels of the super-Liouville theory to compute the…

High Energy Physics - Theory · Physics 2025-02-07 Arpan Bhattacharyya , Saptaswa Ghosh , Poulami Nandi , Sounak Pal

We study the tetrad formulation of Chern-Simons (CS) modified gravity, which adds a Pontryagin term to the Einstein-Hilbert action with a spacetime-dependent coupling field. We first verify that CS modified gravity leads to a theory with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephon Alexander , Nicolas Yunes

Three-dimensional gravity in Anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the…

High Energy Physics - Theory · Physics 2011-08-02 Ricardo Couso Santamaria , Jose D. Edelstein , Alan Garbarz , Gaston Giribet

It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman

These are notes of introductory lectures on (a) elements of 2+1 dimensional gravity, (b) some aspects of its relation to Chern-Simons theory, (c) its generalization to couple higher spins, and (d) cosmic singularity resolution as an…

High Energy Physics - Theory · Physics 2015-09-16 K. Surya Kiran , Chethan Krishnan , Avinash Raju

We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. We observe that the resultant linearized equations are exactly the same as that of TMG…

High Energy Physics - Theory · Physics 2014-12-09 Mohsen Alishahiha , Mohammad M. Qaemmaqami , Ali Naseh , Ahmad Shirzad

We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise