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We evaluate the partition function of three dimensional theories of gravity in the quantum regime, where the AdS radius is Planck scale and the central charge is of order one. The contribution from the AdS vacuum sector can - with certain…

High Energy Physics - Theory · Physics 2013-05-30 Alejandra Castro , Matthias R. Gaberdiel , Thomas Hartman , Alexander Maloney , Roberto Volpato

We show that the non-gravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In…

High Energy Physics - Theory · Physics 2019-05-02 Hirotaka Hayashi , Patrick Jefferson , Hee-Cheol Kim , Kantaro Ohmori , Cumrun Vafa

Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic description of such a system requires the…

High Energy Physics - Theory · Physics 2023-07-03 Laura Donnay , Adrien Fiorucci , Yannick Herfray , Romain Ruzziconi

Globally conformal invariant quantum field theories in a D-dimensional space-time (D even) have rational correlation functions and admit an infinite number of conserved (symmetric traceless) tensor currents. In a theory of a scalar field of…

Mathematical Physics · Physics 2015-06-05 Ivan Todorov

In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to establish a set of old conjectures about symmetries in quantum gravity. These are that no global symmetries are possible, that internal gauge…

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

It has been recently argued that the averaging of free CFT's over the Narain lattice can be holographically described through a Chern-Simons theory for $U\left(1\right)^{D}\times U\left(1\right)^{D}$ with a precise prescription to sum over…

High Energy Physics - Theory · Physics 2020-12-02 Alfredo Pérez , Ricardo Troncoso

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

High Energy Physics - Theory · Physics 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

This paper elaborates on the bulk/boundary relation between negative cosmological constant 3D gravity and Liouville field theory (LFT). We develop an interpretation of LFT non-normalizable states in terms of particles moving in the bulk.…

High Energy Physics - Theory · Physics 2009-10-31 Kirill Krasnov

A holographic conformal field theory is dual to semi-classical general relativity in Anti-de Sitter space coupled to matter fields. If the CFT factorizes in the large-$N$ limit, then all couplings in its dual are suppressed by the Planck…

High Energy Physics - Theory · Physics 2023-09-11 Luis Apolo , Alexandre Belin , Suzanne Bintanja , Alejandra Castro , Christoph A. Keller

A simple realization of the conformal higher spin symmetry on the free $3d$ massless matter fields is given in terms of an auxiliary Fock module both in the flat and $AdS_3$ case. The duality between non-unitary field-theoretical…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman , M. A. Vasiliev

We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS$_3$/CFT$_2$. Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition…

High Energy Physics - Theory · Physics 2021-10-08 Diptarka Das , Shouvik Datta

We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and…

High Energy Physics - Theory · Physics 2008-11-26 Koushik Balasubramanian , John McGreevy

In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum. We will argue, in particular, that in…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Wolfgang Wieland

We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small…

High Energy Physics - Theory · Physics 2023-09-27 G. Bruno De Luca , Nicolò De Ponti , Andrea Mondino , Alessandro Tomasiello

In this series of papers, we propose a new rendition of 3d and 4d state sum models based upon the group field theory (GFT) approach to non-perturbative quantum gravity. We will see that the group field theories investigated in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James Ryan

We consider the AdS/CFT correspondence in the context of 2d CFT and find that essentially all ``single particle'' primary fields with higher spin, predicted from the CFT side are missing from the Kaluza-Klein excitations of the AdS…

High Energy Physics - Theory · Physics 2007-05-23 Cumrun Vafa

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

We show that all two-dimensional conformal field theories possess a hidden sl(2,R) affine symmetry. More precisely, we add appropriate ghost fields to an arbitrary CFT, and we use them to construct the currents of sl(2,R). We then define a…

High Energy Physics - Theory · Physics 2009-11-10 F. Nitti , M. Porrati

Motivated by the Kerr-CFT conjecture, we investigate perturbations of the near-horizon extreme Kerr spacetime. The Teukolsky equation for a massless field of arbitrary spin is solved. Solutions fall into two classes: normal modes and…

High Energy Physics - Theory · Physics 2009-09-28 Oscar J. C. Dias , Harvey S. Reall , Jorge E. Santos

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig