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We derive universal constraints on $(1+1)d$ rational conformal field theories (CFTs) that can arise as transitions between topological theories protected by a global symmetry. The deformation away from criticality to the trivially gapped…

High Energy Physics - Theory · Physics 2022-10-05 Clay Cordova , Diego García-Sepúlveda

We propose a duality between the 2d W_N minimal models in the large N 't Hooft limit, and a family of higher spin theories on AdS_3. The 2d CFTs can be described as WZW coset models, and include, for N=2, the usual Virasoro unitary series.…

High Energy Physics - Theory · Physics 2012-05-09 Matthias R Gaberdiel , Rajesh Gopakumar

We introduce a generalized version of the Causal Dynamical Triangulations (CDT) formulation of quantum gravity, in which the regularized, triangulated path integral histories retain their causal properties, but do not have a preferred…

High Energy Physics - Theory · Physics 2013-08-28 S. Jordan , R. Loll

We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature…

High Energy Physics - Theory · Physics 2015-06-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

We use modular invariance to derive constraints on the spectrum of warped conformal field theories (WCFTs) --- nonrelativistic quantum field theories described by a chiral Virasoro and $U(1)$ Kac-Moody algebra. We focus on holographic WCFTs…

High Energy Physics - Theory · Physics 2018-07-20 Luis Apolo , Wei Song

In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress…

High Energy Physics - Theory · Physics 2017-09-13 Thomas Faulkner , Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau , Mark Van Raamsdonk

2D quantum gravity is the idea that a set of discretized surfaces (called map, a graph on a surface), equipped with a graph measure, converges in the large size limit (large number of faces) to a conformal field theory (CFT), and in the…

Mathematical Physics · Physics 2018-07-04 Séverin Charbonnier , Bertrand Eynard , François David

Double Field Theory (DFT) has emerged as a comprehensive framework for gravity, presenting a testable and robust alternative to General Relativity (GR), rooted in the $\mathbf{O}(D,D)$ symmetry principle of string theory. These lecture…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Jeong-Hyuck Park

We analyze asymptotic symmetry algebras in (2+1)-dimensional non-AdS higher-spin gravity with a focus on AdS$_2\times\mathbb{R}$ and $\mathbb{H}_2\times\mathbb{R}$. We find a consistent set of boundary conditions for spin-3 gravity in the…

High Energy Physics - Theory · Physics 2012-10-25 Max Riegler

We study a new class of solutions of three-dimensional topological massive gravity. These solutions can be taken as non-extremal black holes, with their extremal counterparts being discrete quotients of spacelike warped AdS$_3$ along the…

High Energy Physics - Theory · Physics 2011-03-29 Bin Chen , Bo Ning

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass saturating the Breitenlohner-Freedman bound. Such "designer gravity" theories admit a large class of…

High Energy Physics - Theory · Physics 2013-05-30 Aaron J. Amsel , Matthew M. Roberts

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall. The AdS/CFT correspondence allows a fully quantum mechanical…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , T. Hertog , H. S. Reall

We show that a $3d$ sourced conformal Carrollian field theory has the right kinematic properties to holographically describe gravity in $4d$ asymptotically flat spacetime. The external sources encode the leaks of gravitational radiation at…

High Energy Physics - Theory · Physics 2022-08-31 Laura Donnay , Adrien Fiorucci , Yannick Herfray , Romain Ruzziconi

We define a three-dimensional quantum theory of gravity as the holographic dual of the Liouville conformal field theory. The theory is consistent and unitary by definition. The corresponding theory of gravity with negative cosmological…

High Energy Physics - Theory · Physics 2020-02-19 Songyuan Li , Nicolaos Toumbas , Jan Troost

Three dimensional (3d) Carrollian CFTs are potential co-dimension one holographic duals of 4d asymptotically flat spacetimes that live on the whole of the null boundary. In this paper, we show that the local stress tensor of the 3d…

High Energy Physics - Theory · Physics 2024-08-13 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

The phase space of three-dimensional gravity with Compere-Song-Strominger (CSS) boundary conditions is endowed with asymptotic symmetries consisting in the semi-direct product of a Virasoro and a $\hat{u}(1)$ Ka\v{c}-Moody algebra, and…

High Energy Physics - Theory · Physics 2021-02-23 Luca Ciambelli , Stéphane Detournay , Antoine Somerhausen

Holographic dualities between certain gravitational theories in four and five spacetime dimensions and 2D conformal field theories (CFTs) have been proposed based on hidden conformal symmetry exhibited by the radial Klein-Gordon (KG)…

High Energy Physics - Theory · Physics 2023-05-03 Alexandra Chanson , Victoria Martin , Maria J. Rodriguez , Luis Fernando Temoche

In this work, we investigate the partition function of 2d CFT under root-$T\bar{T}$ deformation. We demonstrate that the deformed partition function satisfies a flow equation. At large central charge sector, the deformed partition function…

High Energy Physics - Theory · Physics 2025-12-03 Miao He

Can the holographic principle be extended beyond the well known AdS/CFT correspondence? During the last couple of years there has been a substantial amount of research trying to find answers for this question. In this work we provide a…

High Energy Physics - Theory · Physics 2018-01-30 Stefan Prohazka , Max Riegler

We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents…

High Energy Physics - Theory · Physics 2016-07-20 Luis F. Alday , Alexander Zhiboedov
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