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Related papers: AdS_3/CFT_2 on torus in the sum over geometries

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Although the AdS/CFT correspondence is rigorous only for an infinite $N \to \infty$ stack of D3-branes, it can be fruitfully studied for finite $N$ as a source of gauge structures and choices for chiral fermions and complex scalars which…

High Energy Physics - Theory · Physics 2009-10-31 Paul H. Frampton

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by…

It is well known that a weakly coupled U(N) gauge theory on a torus with sides of length L has extra light states with energies of order 1/NL. We show that a similar result holds for gauge theories on M/G where M is any compact Riemannian…

High Energy Physics - Theory · Physics 2009-11-07 Gary T. Horowitz , Ted Jacobson

We study the quantum-mechanical corrections to two point particles accelerated by a strut in a 2+1 D flat background. Since the particles are accelerating, we use finite temperature techniques to compute the Green's function of a…

High Energy Physics - Theory · Physics 2008-11-26 Mohamed M. Anber

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and…

High Energy Physics - Theory · Physics 2012-09-11 M. R. Setare , V. Kamali

Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial…

High Energy Physics - Theory · Physics 2023-05-17 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

We use the AdS/CFT correspondence to study models of entanglement and correlations between two $d=4$ CFTs in thermofield double states at finite chemical potential. Our bulk spacetimes are planar Reissner-Nordstr\"om AdS black holes. We…

High Energy Physics - Theory · Physics 2014-04-14 Tomas Andrade , Sebastian Fischetti , Donald Marolf , Simon F. Ross , Moshe Rozali

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

We test the AdS/CFT correspondence by computing the partition function of some $\mathcal{N}=2$ quiver Chern-Simons-matter theories on three-sphere. The M-theory backgrounds are of the Freund-Rubin type with the seven-dimensional internal…

High Energy Physics - Theory · Physics 2017-09-07 Sangmo Cheon , Hyojoong Kim , Nakwoo Kim

Recently, topological interfaces between three-dimensional abelian Chern-Simons theories were constructed. In this note we investigate such topological interfaces in the context of the $AdS_3/CFT_2$ correspondence. We show that it is…

High Energy Physics - Theory · Physics 2019-02-06 Michael Gutperle , John D. Miller

We investigate a structure of a 4-dimensional bulk space constructed from the $O(N)$ invariant critical $\varphi^4$ model in 3-dimension using the conformal smearing. We calculate a bulk metric corresponding to the information metric and…

High Energy Physics - Theory · Physics 2024-11-12 Sinya Aoki , Kiyoharu Kawana , Kengo Shimada

Any $(d+1)$-dimensional CFT with a $U(1)$ flavor symmetry, a BPS bound and an exactly marginal coupling admits a decoupling limit in which one zooms in on the spectrum close to the bound. This limit is an In\"on\"u-Wigner contraction of…

High Energy Physics - Theory · Physics 2018-05-18 Jelle Hartong , Yang Lei , Niels A. Obers , Gerben Oling

We consider holographic duals of $2$-dimensional conformal field theories in the presence of a boundary, interface, defect and/or junction, referred to collectively as BCFTs. In general, the presence of a boundary reduces the $SO(2,2)$…

High Energy Physics - Theory · Physics 2015-06-18 John Estes

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert…

High Energy Physics - Theory · Physics 2023-07-05 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

We investigate the constraints of crossing symmetry on CFT correlation functions. Four point conformal blocks are naturally viewed as functions on the upper-half plane, on which crossing symmetry acts by PSL(2,Z) modular transformations.…

High Energy Physics - Theory · Physics 2017-08-02 Alexander Maloney , Henry Maxfield , Gim Seng Ng

We consider the toroidally compactified planar AdS-Schwarzschild solution to 4-dimensional gravity with negative cosmological constant. This has a flat torus conformal boundary metric. We show that if the spatial part of the boundary metric…

High Energy Physics - Theory · Physics 2020-01-10 Krai Cheamsawat , Gary Gibbons , Toby Wiseman

We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model. We also…

High Energy Physics - Theory · Physics 2008-11-26 Pablo Minces , Victor O. Rivelles

We discuss, in terms of the AdS_3-CFT_2 correspondence, a one-parameter family of (asymptotically AdS_3) conical geometries which are generated by point masses and interpolate between AdS_3 and BTZ spacetimes. We show that these correspond…

High Energy Physics - Theory · Physics 2007-05-23 Justin R. David , Gautam Mandal , Sachindeo Vaidya , Spenta R. Wadia

We study the Casimir energy of bulk fields in AdS$_3$ and its relation to subleading terms in the central charge of the dual CFT$_2$. Computing both sides of the standard CFT$_2$ relation $E=-c/12$ independently we show that this relation…

High Energy Physics - Theory · Physics 2019-07-22 Arash Arabi Ardehali , Finn Larsen , James T. Liu , Phillip Szepietowski

We describe solutions of asymptotically AdS$_3$ Einstein gravity that are sourced by the insertion of operators in the boundary CFT$_2$, whose dimension scales with the central charge of the theory. Previously, we found that the geometry…

High Energy Physics - Theory · Physics 2023-07-26 Jacob Abajian , Francesco Aprile , Robert C. Myers , Pedro Vieira