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We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that…

High Energy Physics - Theory · Physics 2008-12-18 Per Kraus

We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in $CFT_{1+1}$s dual to non static bulk $AdS_3$ geometries. Utilizing our proposal…

High Energy Physics - Theory · Physics 2024-03-12 Jaydeep Kumar Basak , Himanshu Parihar , Boudhayan Paul , Gautam Sengupta

We study some aspects of a class of non-AdS holography where the 3d bulk gravity is given by Generalized Minimal Massive Gravity (GMMG). We consider the spacelike warped $AdS_3$ ($WAdS_3$) black hole solution of this model where the 2d dual…

High Energy Physics - Theory · Physics 2021-12-01 M. R. Setare , M. Koohgard

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or…

High Energy Physics - Theory · Physics 2010-04-06 Wei Li , Wei Song , Andrew Strominger

In this paper, we propose a generalization of the $\mathrm{AdS_2/CFT_1}$ correspondence constructed by Mezei, Pufu and Wang in \cite{MezeiPufuWang}, which is the duality between 2d Yang-Mills theory with higher derivatives in the…

High Energy Physics - Theory · Physics 2020-12-02 Andrey Feldman

We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint orbits of the Virasoro group. There is one subset of orbits, associated to BTZ black hole solutions, that can be described by a pair of chiral free fields with a…

High Energy Physics - Theory · Physics 2009-10-31 J. Navarro-Salas , P. Navarro

A key problem in the attempt to quantize the gravitational field is the choice of boundary conditions. These are mixed, in that spatial and normal components of metric perturbations obey different sets of boundary conditions. In the…

High Energy Physics - Theory · Physics 2007-05-23 Ivan G. Avramidi , Giampiero Esposito

Let $\CC^0_{\g}$ be the category of finite-dimensional integrable modules over the quantum affine algebra $U_{q}'(\g)$ and let $R^{A_\infty}\gmod$ denote the category of finite-dimensional graded modules over the quiver Hecke algebra of…

Representation Theory · Mathematics 2017-05-17 Seok-Jin Kang , Masaki Kashiwara , Myungho Kim , Se-jin Oh

The partition function of a three-dimensional $\mathcal{N} =2$ theory on the manifold $\mathcal{M}_{g,p}$, an $S^1$ bundle of degree $p$ over a closed Riemann surface $\Sigma_g$, was recently computed via supersymmetric localization. In…

High Energy Physics - Theory · Physics 2018-10-03 Chiara Toldo , Brian Willett

The holographic duality conjectures a relation between strongly coupled quantum systems and quantum gravity in higher-dimensional spacetimes. Gravitational theories in two and three dimensions are meaningful examples for classical and…

High Energy Physics - Theory · Physics 2024-04-17 Stephen Ebert

I argue that the complete partition function of 3D quantum gravity is given by a path integral over gauge-inequivalent manifolds times the Chern-Simons partition function. In a discrete version, it gives a sum over simplicial complexes…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Boulatov

We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest…

High Energy Physics - Theory · Physics 2009-04-03 Per Kraus , Finn Larsen , Akhil Shah

For Chern-Simons-matter theories in three dimensions, gauge invariance may require the Chern-Simons level k to be half-integral, in which case parity is violated. As noted by Pasquetti for abelian theories with N=2 supersymmetry, the…

High Energy Physics - Theory · Physics 2019-05-14 Nathaniel Bade , Chris Beasley

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

High Energy Physics - Theory · Physics 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester

We derive the partition function of 5d ${\cal N}=1$ gauge theories on the manifold $S^3_b \times \Sigma_{\frak g}$ with a partial topological twist along the Riemann surface, $\Sigma_{\frak g}$. This setup is a higher dimensional uplift of…

High Energy Physics - Theory · Physics 2018-12-05 P. Marcos Crichigno , Dharmesh Jain , Brian Willett

We consider the quantum gravity partition function that counts the dimension of the Hilbert space of a spatial region with topology of a ball and fixed proper volume, and evaluate it in the leading order saddle point approximation. The…

High Energy Physics - Theory · Physics 2023-10-03 Ted Jacobson , Manus R. Visser

We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence. Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime. We use bottom up…

High Energy Physics - Theory · Physics 2024-10-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity. We first show that any global symmetry, discrete or continuous, in a bulk quantum gravity theory with…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri
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