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Related papers: Non-Orientable AdS$_3$ and its Holography

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We derive a theory of quantum gravity containing an AdS$_3$ isometry/qubit duality. The theory is based on a superalgebra generalization of the enveloping algebra of the homogeneous AdS$_3$ spacetime isometry group and is isomorphic to the…

High Energy Physics - Theory · Physics 2023-09-27 Lucas Kocia Kovalsky

We generalize Penrose's notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory,…

High Energy Physics - Theory · Physics 2012-01-23 Petr Horava , Charles M. Melby-Thompson

In this paper, we investigate the warped dS/CFT correspondence of the self-dual warped dS$_3$ spacetime, which is a solution of three-dimensional topologically massive gravity (TMG) with a positive cosmological constant. We discuss its…

High Energy Physics - Theory · Physics 2012-02-08 Bin Chen , Jia-ju Zhang

Four-dimensional (4D) flat Minkowski space admits a foliation by hyperbolic slices. Euclidean AdS3 slices fill the past and future lightcones of the origin, while dS3 slices fill the region outside the lightcone. The resulting link between…

High Energy Physics - Theory · Physics 2019-10-02 Adam Ball , Elizabeth Himwich , Sruthi A. Narayanan , Sabrina Pasterski , Andrew Strominger

Following a recent suggestion by Randall and Sundrum, we consider string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold. A specific example is provided by the type II…

High Energy Physics - Theory · Physics 2009-10-31 Herman Verlinde

We consider string theory on AdS$_3$ $\times$ (S$^3$ $\times$ S$^3$ $\times$ S$^1)/\mathbb Z_2$, a background supporting $\mathcal N=(3,3)$ spacetime supersymmetry. We propose that string theory on this background is dual to the symmetric…

High Energy Physics - Theory · Physics 2018-05-28 Lorenz Eberhardt , Ida G. Zadeh

We couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS_3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U(1) and parametrize certain Kahler manifolds…

High Energy Physics - Theory · Physics 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell

The 3d spin-3 gravity theory is holographically dual to a 2d ${\cal W}_3$-extended CFT. In a large-c limit the symmetry algebra of the CFT reduces to $SU(1,2) \times SU(1,2)$. On the ground of symmetry the dual bulk space-time will be given…

High Energy Physics - Theory · Physics 2019-03-27 Ryuichi Nakayama , Kenji Shiohara , Tomotaka Suzuki

In this work, we revisit and elaborate on twisted holography for AdS$_3 \times S^3 \times X$ with $X= T^4$, K3, with a particular focus on K3. We describe the twist of supergravity, identify the corresponding (generalization of) BCOV…

High Energy Physics - Theory · Physics 2024-10-09 Víctor E. Fernández , Natalie M. Paquette , Brian R. Williams

Starting from a WZWN action in the ISO(2,1) Poincare' group which describes a bosonized spinning string in 2+1 Minkowski space-time, we show that a sequence of non-trivial compactifications leads to the description of a spinless string…

High Energy Physics - Theory · Physics 2009-10-31 R. Casadio , B. Harms

We consider critical gravity in three dimensions; that is, the New Massive Gravity theory formulated about Anti-de Sitter (AdS) space with the specific value of the graviton mass for which it results dual to a two-dimensional conformal…

High Energy Physics - Theory · Physics 2014-05-08 Alan Garbarz , Gaston Giribet , Andrés Goya , Mauricio Leston

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local…

High Energy Physics - Theory · Physics 2017-08-30 Branislav Cvetković , Olivera Miskovic , Dejan Simić

In a complex manifold, one can bridge anti-de Sitter and de Sitter spacetimes via analytic continuation, preserving geometric invariants and regularity, avoiding singularities during the AdS-dS transition. It unifies gravitational and gauge…

General Relativity and Quantum Cosmology · Physics 2026-01-12 J. W. Moffat , E. J. Thompson

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

Global structure of the (anti-)de~Sitter ((A)dS) generalization of the Roberts solution in general relativity with a massless scalar field and its topological generalization is clarified. In the case with a negative cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Hideki Maeda

We construct a CFT with $\mathfrak{sl}(2,\mathbb{R})_k$ symmetry at the `tensionless' point $k=3$, which is distinct from the usual $\mathrm{SL}(2,\mathbb{R})_{k=3}$ WZW model. This new CFT is much simpler than the generic WZW model: in…

High Energy Physics - Theory · Physics 2026-01-22 Lorenz Eberhardt , Matthias R. Gaberdiel

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

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

Asymptotically anti-de Sitter spacetimes with Poincare invariance along the boundary can describe, via the AdS/CFT correspondence, either relevant deformations of a conformal field theory or non-conformal vacuum states. I consider examples…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser

We put forward a unimodular $N=1, d=4$ anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter…

High Energy Physics - Theory · Physics 2020-03-18 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia