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Using the Chern-Simons formulation of AdS3 gravity as well as the Costello-Witten-Yamazaki (CWY) theory for quantum integrability, we construct a novel topological 4D gravity given by Eq(5.1) with observables based on gravitational gauge…

High Energy Physics - Theory · Physics 2024-11-01 Y. Boujakhrout , R. Sammani , E. H Saidi

We propose an SL(2,R) Chern-Simons description of Liouville field theory (LFT), whose correlation function duals to partition function of N=2 SU(2) gauge theories. We give the dual expressions for conformal blocks, fusion rules, and Wilson…

High Energy Physics - Theory · Physics 2009-12-02 Jian-Feng Wu , Yang Zhou

In this paper, we explicitly construct an asymptotic $\mathcal{W}_5$ symmetry algebra of the three-dimensional anti-de Sitter $(AdS_3)$ higher spin gravity. We use an $\mathfrak{sl}(5,R) \oplus \mathfrak{sl}(5,R)$ Lie algebra valued…

High Energy Physics - Theory · Physics 2018-10-02 H. T. Özer , Aytül Filiz

In this paper, we reassess the issue of deriving the propagators and identifying the spectrum of excitations associated to the vielbein and spin connection of (1+2)-D gravity in the presence of dynamical torsion, while working in the…

High Energy Physics - Theory · Physics 2014-11-20 J. A. Helayel-Neto , L. M. de Moraes , V. J. Vasquez Otoya

The asymptotic dynamics of AdS$_3$ gravity with two asymptotically anti-de Sitter regions is investigated, paying due attention to the zero modes, i.e., holonomies along non-contractible circles and their canonically conjugates. This…

High Energy Physics - Theory · Physics 2021-02-24 Marc Henneaux , Wout Merbis , Arash Ranjbar

In this note, we revisit the 4-dimensional theory of massive gravity through compactification of an extra dimension and geometric symmetry breaking. We dimensionally reduce the 5-dimensional topological Chern-Simons gauge theory of (anti)…

High Energy Physics - Theory · Physics 2020-10-20 Mahdi Torabian

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

A common assumption in the Effective Field Theories of gravity is that their quasi-static weak-field infrared limit yields the well-known second-order Poisson operator. We examine this limit for the universality class of parity-even,…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Krzysztof Nowak

In this study, we investigate three-dimensional torsional Newton-Cartan (TNC) gravity by gauging the su$(1,2)\oplus$u$(1)$ algebra and construct its action using the Chern-Simons theory. This TNC exhibits novel features, including the fact…

High Energy Physics - Theory · Physics 2025-09-08 Yang Lei , Dong Zhang

We study 3d $\mathcal{N}=2$ Chern-Simons (CS) quiver theories on $S^3$ and ${\Sigma}_{\mathfrak{g}}\times S^1$. Using localization results, we examine their partition functions in the large rank limit and requiring the resulting matrix…

High Energy Physics - Theory · Physics 2019-08-08 Dharmesh Jain , Augniva Ray

We compute the effective action for a massive scalar field in (A)dS spacetime using the Euclidean heat kernel method. We highlight that in even-dimensional dS spacetimes, the effective action exhibits a non-trivial imaginary part,…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Yu Zhou , Hai-Qing Zhang

We give Swampland constraints on the three dimensional Landscape of Anti-de Sitter higher spin gravity in the Chern-Simons formulation with connection valued in various split real forms of Lie algebras. We derive the finiteness conjecture…

High Energy Physics - Theory · Physics 2024-11-20 R. Sammani , Y. Boujakhrout , E. H Saidi , R. Ahl Laamara , L. B Drissi

We consider Chern-Simons theories for the Poincare, de Sitter and anti-de Sitter groups in three dimensions which generalise the Chern-Simons formulation of 3d gravity. We determine conditions under which kappa-Poincare symmetry and its de…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Catherine Meusburger , Bernd Schroers

We determine the complex geometries dual to the semi-classical saddles in three-dimensional gravity with positive or negative cosmological constant. We examine the semi-classical saddles in Liouville field theory and interpret them in terms…

High Energy Physics - Theory · Physics 2024-07-18 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

We explicitly rewrite the path integral for the free or critical $O(N)$ (or $U(N)$) bosonic vector models in $d$ space-time dimensions as a path integral over fields (including massless high-spin fields) living on ($d+1$)-dimensional…

High Energy Physics - Theory · Physics 2022-03-23 Ofer Aharony , Shai M. Chester , Erez Y. Urbach

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

High Energy Physics - Theory · Physics 2025-05-20 Mattia Serrani

We study Wilson loops in the three-dimensional N=6 supersymmetric Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena, that is conjectured to be dual to type IIA string theory on AdS_4 x CP^3. We construct…

High Energy Physics - Theory · Physics 2010-11-11 Nadav Drukker , Jan Plefka , Donovan Young

We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a…

High Energy Physics - Theory · Physics 2015-06-18 Alejandro Barranco , Jorge G. Russo

We study non-perturbative quantization of 3d gravity with positive cosmological constant (de Sitter space being the prototype vacuum solution, whose Euclideanization of course gives the three sphere) on the background topology of lens…

High Energy Physics - Theory · Physics 2015-05-30 Rudranil Basu , Samir K Paul

We study supersymmetric vortex solutions in three-dimensional abelian gauged supergravity. First, we construct the general U(1)-gauged D=3, N=2 supergravity whose scalar sector is an arbitrary Kahler manifold with U(1) isometry. This…

High Energy Physics - Theory · Physics 2009-11-07 M. Abou-Zeid , H. Samtleben
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