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The dual dynamics of Einstein gravity on AdS$_3$ supplemented with boundary conditions of KdV-type is identified. It corresponds to a two-dimensional field theory at the boundary, described by a novel action principle whose field equations…

High Energy Physics - Theory · Physics 2019-01-30 Hernán A. González , Javier Matulich , Miguel Pino , Ricardo Troncoso

A definite form for the boundary term that produces the finiteness of both the conserved quantities and Euclidean action for any Lovelock gravity with AdS asymptotics is presented. This prescription merely tells even from odd bulk…

High Energy Physics - Theory · Physics 2009-04-03 Georgios Kofinas , Rodrigo Olea

Three dimensional topologically massive gravity (TMG) with a negative cosmological constant -\ell^{-2} and positive Newton constant G admits an AdS_3 vacuum solution for any value of the graviton mass \mu. These are all known to be…

High Energy Physics - Theory · Physics 2009-04-02 Dionysios Anninos , Wei Li , Megha Padi , Wei Song , Andrew Strominger

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a…

High Energy Physics - Theory · Physics 2015-06-22 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso

In this work we find the general static vacuum solution of three dimensional gravity with negative cosmological constant. Even though all solutions are locally diffeomorphic to pure $AdS_{3}$, solutions that differ globally from the latter…

High Energy Physics - Theory · Physics 2016-03-18 Nidal Haddad

We discuss the holographic implications of torsional degrees of freedom in the context of AdS4/CFT3, emphasizing in particular their physical interpretation as carriers of the non-trivial gravitational magnetic field, i.e. the part of the…

High Energy Physics - Theory · Physics 2010-12-01 Anastasios C. Petkou

Aspects of black hole thermodynamics and information loss can be derived as a consequence of Virasoro symmetry. To bolster the connection between Virasoro conformal blocks and AdS$_3$ quantum gravity, we study sl$(2)$ Chern-Simons Wilson…

High Energy Physics - Theory · Physics 2017-09-13 A. Liam Fitzpatrick , Jared Kaplan , Daliang Li , Junpu Wang

In this work we consider AdS$_3$ gravitational theory with certain mixed boundary conditions at spatial infinity. Using the Chern-Simons formalism of AdS$_3$ gravity, we find that these boundary conditions lead to non-trivial boundary…

High Energy Physics - Theory · Physics 2021-06-23 Miao He , Yi-hong Gao

Defining quantum information quantities directly in bulk quantum gravity is a difficult problem due to the fluctuations of spacetime. Some progress was made recently in \cite{Mertens:2022ujr}, which provided a bulk interpretation of the…

High Energy Physics - Theory · Physics 2024-12-20 Gabriel Wong

We test the effects of new diffeomorphism invariant boundary terms in SL(2,R)$\times$SL(2,R) Chern-Simons theory. The gravitational interpretation corresponds to free AdS$_3$ boundary conditions, without restrictions on the boundary…

High Energy Physics - Theory · Physics 2016-11-23 Luis Apolo , Bo Sundborg

The standard formulation of the AdS/CFT correspondence is incomplete since it requires adding to a supergravity action some a priori unknown boundary terms. We suggest a modification of the correspondence principle based on the Hamiltonian…

High Energy Physics - Theory · Physics 2009-10-31 G. E. Arutyunov , S. A. Frolov

BPS states in holographic CFTs are usually classified into supergravitons, namely BPS fluctuations around empty AdS, and black-hole microstates, which appear above an energy threshold. In AdS$_3$/CFT$_2$, however, this picture is incomplete…

High Energy Physics - Theory · Physics 2026-04-23 Marcel R. R. Hughes , Kohei Jin , Daiki Matsumoto , Leon Miyahara , Masaki Shigemori

We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of…

High Energy Physics - Theory · Physics 2025-03-12 Zhehan Li , Zhifeng Li , Jia Tian

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

High Energy Physics - Theory · Physics 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

The boundary charges which constitute the Virasoro algebra in 2+1 dimensional anti-de Sitter gravity are derived by way of Noether theorem and diffeomorphic invariance. It shows that the boundary charges under discussion recently exhaust…

High Energy Physics - Theory · Physics 2007-05-23 Sze-Shiang Feng , Bin Wang , Xin-He Meng

We revisit the construction of multi-centered solutions in three-dimensional anti-de Sitter gravity in the light of the recently discovered connection between particle worldlines and classical Virasoro conformal blocks. We focus on…

High Energy Physics - Theory · Physics 2017-04-26 Ondřej Hulík , Tomáš Procházka , Joris Raeymaekers

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 construct a unitary, modular-invariant torus partition function of a two-dimensional conformal field theory with a Virasoro primary spectral gap of $\Delta_* = \frac{c-1}{12}$ above the vacuum. The twist gap is identical, apart from two…

High Energy Physics - Theory · Physics 2023-08-04 Gabriele Di Ubaldo , Eric Perlmutter

Tensionless string theory on $\text{AdS}_3\times\text{S}^3\times\mathcal{M}$ is explored in the limit that the strings wind the asymptotic boundary a large number of times. Although the worldsheet is usually thought to be localised to the…

High Energy Physics - Theory · Physics 2023-06-16 Bob Knighton

We systematically search for classical open string solutions in AdS_3 within the general class expressed by elliptic functions (i.e., the genus-one finite-gap solutions). By explicitly solving the reality and Virasoro conditions, we give a…

High Energy Physics - Theory · Physics 2010-01-22 Kazuhiro Sakai , Yuji Satoh
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