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Related papers: Exact Virasoro Blocks from Wilson Lines and Backgr…

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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 investigate AdS3/CFT2 correspondence in three dimensional supergravity. We construct a current for general coordinate invariance and that for local supersymmetry via covariant approach. Hamiltonian and supercharge are well defined in…

High Energy Physics - Theory · Physics 2017-01-25 Yoshifumi Hyakutake

Recently, a special type of non-conformal line defect, known as thin-shell operator, has played a key role in demonstrating the chaotic nature of the high energy sector in AdS$_3$/CFT$_2$. The chaotic nature was revealed concretely through…

High Energy Physics - Theory · Physics 2025-06-17 Yuefeng Liu , Boyang Yu

The conformal extension of the BMS$_{3}$ algebra is constructed. Apart from an infinite number of 'superdilatations,' in order to incorporate 'superspecial conformal transformations,' the commutator of the latter with supertranslations…

High Energy Physics - Theory · Physics 2021-03-10 Oscar Fuentealba , Hernan A. Gonzalez , Alfredo Perez , David Tempo , Ricardo Troncoso

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

Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the…

High Energy Physics - Theory · Physics 2022-05-04 M. R. Piatek , R. G. Nazmitdinov , A. Puente , A. R. Pietrykowski

In the semi-classical ($c \rightarrow \infty$) limit, 4-point HLLH correlators in 2D CFTs exhibit periodic Euclidean singularities. Periodic singularities in Euclidean time are a general feature of thermal correlators, even at weak…

High Energy Physics - Theory · Physics 2025-05-15 Aaditya Datar , Chethan Krishnan

In the AdS/CFT correspondence the boundary Ward identities are encoded in the bulk constraints. We study the three-dimensional version of this result using the Chern-Simons formulation of gravity. Due the metric boundary conditions the…

High Energy Physics - Theory · Physics 2008-11-26 Maximo Banados , Rodrigo Caro

We continue to develop the holographic interpretation of classical conformal blocks in terms of particles propagating in an asymptotically $AdS_3$ geometry. We study $n$-point block with two heavy and $n-2$ light fields. Using the worldline…

High Energy Physics - Theory · Physics 2015-09-30 K. B. Alkalaev , V. A. Belavin

We chart the breakdown of semiclassical gravity by analyzing the Virasoro conformal blocks to high numerical precision, focusing on the heavy-light limit corresponding to a light probe propagating in a BTZ black hole background. In the…

High Energy Physics - Theory · Physics 2017-10-25 Hongbin Chen , Charles Hussong , Jared Kaplan , Daliang Li

The conformal anomaly and the Virasoro algebra are fundamental aspects of 2D conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an…

Mathematical Physics · Physics 2025-05-06 Sid Maibach , Eveliina Peltola

We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification…

High Energy Physics - Theory · Physics 2017-02-01 Aitor Lewkowycz , Gustavo J. Turiaci , Herman Verlinde

We investigate the asymptotic supersymmetry group of the near horizon region of the BMPV black holes, which are the rotating BPS black holes in five dimensions. When considering only bosonic fluctuations, we show that there exist consistent…

High Energy Physics - Theory · Physics 2012-09-03 Masayoshi Nakamura , Naoto Yokoi

Holographic entanglement entropy provides a direct connection between classical geometry and quantum entanglement; however the usual prescription does not apply to theories of higher spin gravity, where standard notions of geometry are no…

High Energy Physics - Theory · Physics 2016-03-08 Martin Ammon , Alejandra Castro , Nabil Iqbal

We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the Conformal Weyl Gravity formalism. We do this within an $AdS_2/CFT_1$ correspondence and by performing a…

High Energy Physics - Theory · Physics 2017-07-20 Leo Rodriguez , Shanshan Rodriguez

We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS$_2$ evaluated between Ishibashi states of the algebra $sl(2,\mathbb{R})$. It is given in integral form where the integrand is the global…

High Energy Physics - Theory · Physics 2025-08-12 K. B. Alkalaev , V. S. Khiteev

We determine the full $1/\sqrt{\lambda}$ correction to the flat-space Wilson coefficients which enter the AdS Virasoro-Shapiro amplitude in $\mathcal{N}=4$ SYM theory at strong coupling. The assumption that the Wilson coefficients are in…

High Energy Physics - Theory · Physics 2023-05-05 Luis F. Alday , Tobias Hansen , Joao A. Silva

We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative corrections, following the recently proposed Kerr/CFT…

High Energy Physics - Theory · Physics 2009-11-19 Tatsuo Azeyanagi , Geoffrey Compère , Noriaki Ogawa , Yuji Tachikawa , Seiji Terashima

By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in $d=4$ conformal field theories (CFTs) with a pure Einstein gravity dual. We find that a rescaled mode operator defined by an…

High Energy Physics - Theory · Physics 2022-09-07 Kuo-Wei Huang

We show that an $SL(2,R)_L \times SL(2,R)_R$ Chern-Simons theory coupled to a source on a manifold with the topology of a disk correctly describes the entropy of the AdS$_3$ black hole. The resulting boundary WZNW theory leads to two copies…

High Energy Physics - Theory · Physics 2009-10-31 S. Fernando , F. Mansouri