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Related papers: Refining the Cutoff 3d Gravity / $T\bar{T}$ Corres…

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We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS$_{4}$, so that the total action is finite on-shell and satisfy a well defined variational…

High Energy Physics - Theory · Physics 2016-04-20 Andres Anabalon , Dumitru Astefanesei , David Choque , Cristian Martinez

The description of the $T\bar{T}$ deformation in terms of two-dimensional gravity is analyzed from the Hamiltonian point of view, in a manner analogous to the ADM description of general relativity. We find that the Hamiltonian constraints…

High Energy Physics - Theory · Physics 2025-10-27 Florencia Benítez , Guzmán Hernández-Chifflet , Esteban Mato

We propose a generalisation of the $T \bar{T}$ deformation to curved spaces by defining, and solving, a suitable flow equation for the partition function. We provide evidence it is well-defined at the quantum level. This proposal…

High Energy Physics - Theory · Physics 2019-12-20 Edward A. Mazenc , Vasudev Shyam , Ronak M Soni

A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by…

High Energy Physics - Theory · Physics 2018-04-04 Gaston Giribet

We revisit the description of the space of asymptotically AdS3 solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of…

High Energy Physics - Theory · Physics 2015-06-19 Alan Garbarz , Mauricio Leston

We demonstrate that the solutions of three-dimensional gravity obtained by gluing two copies of a spacetime across a junction constituted of a tensile string are in one-to-one correspondence with the solutions of the Nambu-Goto equation in…

High Energy Physics - Theory · Physics 2024-09-09 Avik Banerjee , Ayan Mukhopadhyay , Giuseppe Policastro

We first clarify the relation between boundary perturbations of AdS3 in general relativity, and exactly marginal worldsheet vertex operators in AdS3 string theory with Neveu-Schwarz Neveu-Schwarz flux. The latter correspond to solutions of…

High Energy Physics - Theory · Physics 2014-11-21 Jan Troost

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

End of the world branes in AdS have been recently used to study problems deeply connected to quantum gravity, such as black hole evaporation and holographic cosmology. With non-critical tension and Neumann boundary condition, the end of the…

High Energy Physics - Theory · Physics 2024-07-08 Feiyu Deng , Zhi Wang , Yang Zhou

It was shown by Brown and Henneaux that the classical theory of gravity on AdS_3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro…

High Energy Physics - Theory · Physics 2009-10-31 Jan de Boer , Hirosi Ooguri , Harlan Robins , Jonathan Tannenhauser

We perform a canonical quantization of pure gravity on AdS3 using as a technical tool its equivalence at the classical level with a Chern-Simons theory with gauge group SL(2,R)xSL(2,R). We first quantize the theory canonically on an…

High Energy Physics - Theory · Physics 2015-09-28 Jihun Kim , Massimo Porrati

We argue that a natural boundary condition for gravity in asymptotically AdS spaces is to hold the {\em renormalized} boundary stress tensor density fixed, instead of the boundary metric. This leads to a well-defined variational problem, as…

High Energy Physics - Theory · Physics 2016-12-28 Chethan Krishnan , Avinash Raju , P. N. Bala Subramanian

We find a simple relation between the first subleading terms in the asymptotic expansion of the metric field in AdS$_3$, obeying the Brown-Henneaux boundary conditions, and the stress tensor of the underlying Liouville theory on the…

High Energy Physics - Theory · Physics 2016-09-06 J. Navarro-Salas , P. Navarro

We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius $l$ is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$ is the 3D…

High Energy Physics - Theory · Physics 2020-12-02 Chao-Ming Jian , Andreas W. W. Ludwig , Zhu-Xi Luo , Hao-Yu Sun , Zhenghan Wang

Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion,…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Eric Bergshoeff , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

Pure three-dimensional gravity in anti-de Sitter space can be formulated as an SL(2,R) $\times $ SL(2,R) Chern-Simons theory, and the latter can be reduced to a WZW theory at the boundary. In this paper we show that AdS$_3$ gravity with…

High Energy Physics - Theory · Physics 2015-07-02 Luis Apolo , Bo Sundborg

We propose a symmetry of $T\bar T$ deformed 2D CFT, which preserves the trace relation. The deformed conformal killing equation is obtained. Once we consider the background metric runs with the deformation parameter $\mu$, the deformation…

High Energy Physics - Theory · Physics 2020-10-16 Miao He , Yi-hong Gao

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

High Energy Physics - Theory · Physics 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

Previous work on the AdS instability problem within the two-time framework (TTF) has found an "oscillating singularity" whose presence depends on the gauge choice. We give a physical interpretation of this singularity as a diverging…

High Energy Physics - Theory · Physics 2016-12-20 Fotios V. Dimitrakopoulos , Ben Freivogel , Juan F. Pedraza , I-Sheng Yang

We consider null warped AdS(3) solutions of three-dimensional gravity coupled to a massive vector field. We isolate a certain set of non-propagating solutions to the equations of motion, which we argue are the ones relevant for…

High Energy Physics - Theory · Physics 2015-06-03 Monica Guica