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We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian only involves dimensionless parameters, and the model can be thought as a (2+1) dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Alex G. Dias , M. Gomes , A. J. da Silva

It is shown that the large $N$ limit of SU(N) YM in $curved$ $m$-dim backgrounds can be subsumed by a higher $m+n$ dimensional gravitational theory which can be identified to an $m$-dim generally invariant gauge theory of diffs $N$, where…

High Energy Physics - Theory · Physics 2009-11-07 Carlos Castro

We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term.This theory is ghost-free and propagates a pure spin-2 mode. It is…

High Energy Physics - Theory · Physics 2008-11-26 C. Aragone , P. J. Arias , A. Khoudeir

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to…

High Energy Physics - Theory · Physics 2022-01-14 Dionysios Anninos , Eleanor Harris

In light of recent progress in ghost-free theories of massive gravity and multi-gravity, we reconsider the problem of constructing a ghost-free theory of an interacting spin-2 field charged under a U(1) gauge symmetry. Our starting point is…

High Energy Physics - Theory · Physics 2015-08-26 Claudia de Rham , Andrew Matas , Nicholas Ondo , Andrew J. Tolley

We describe the duality between the gravitating $c=1$ (compact) Sine-Gordon model and a normal matrix model. From a two-dimensional quantum gravity perspective and due to the periodic nature of the potential, this model admits both anti-de…

High Energy Physics - Theory · Physics 2025-10-16 Panos Betzios

We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the $\mathfrak{bms}_3$ algebra with three independent central…

High Energy Physics - Theory · Physics 2018-10-16 Patrick Concha , Nelson Merino , Olivera Miskovic , Evelyn Rodríguez , Patricio Salgado-Rebolledo , Omar Valdivia

We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and shown to exhibit different branches, with different…

High Energy Physics - Theory · Physics 2010-12-17 Eloy Ayón-Beato , Gaston Giribet , Mokhtar Hassaïne

We studied the canonical structure of 2D $F(R)$ gravity. Its equivalence with Jackiw-Teitelboim gravity is demonstrated when no matter presents. Then, due to AdS$_2$/CFT$_1$ correspondence, such $F(R)$ gravity is equivalent to the…

High Energy Physics - Theory · Physics 2022-09-14 S. Nojiri , S. D. Odintsov

We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector…

High Energy Physics - Theory · Physics 2017-09-13 Ergin Sezgin , Evgeny D. Skvortsov , Yaodong Zhu

We construct the conserved charges (mass and angular momentum) of the Chern-Simons modified General Relativity in asymptotically flat and Anti-de Sitter (AdS) spacetimes. Our definition is based on background Killing symmetries and reduces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bayram Tekin

We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra ${\cal K}$ is the 3D de Rham complex of forms equipped, for a choice of metric, with a graded…

High Energy Physics - Theory · Physics 2024-08-20 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm

The two-dimensional self-dual Chern--Simons equations are equivalent to the conditions for static, zero-energy solutions of the $(2+1)$-dimensional gauged nonlinear Schr\"odinger equation with Chern--Simons matter-gauge dynamics. In this…

High Energy Physics - Theory · Physics 2009-10-22 Gerald Dunne , Roman Jackiw

We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike…

High Energy Physics - Theory · Physics 2011-08-31 Dionysios Anninos , Thomas Hartman , Andrew Strominger

We study the theory that contains two spin-2 fields. This theory can be regarded as a simplified version of higher spin gravity in AdS3. It can be formulated either in the first order formulation or in the second order formulation. From the…

High Energy Physics - Theory · Physics 2013-09-25 Bin Chen , Jiang Long , Yi-Nan Wang

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma

We consider the coupling of scalar topological matter to (2+1)-dimensional gravity. The matter fields consist of a 0-form scalar field and a 2-form tensor field. We carry out a canonical analysis of the classical theory, investigating its…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. B. Mann , E. M. Popescu

We study a symmetry-reduced sector of $AdS_3/\mathbb Z_2$ gravity formulated as an $SO(2,2)$ Chern--Simons theory on a 3D-manifold with toroidal boundary. The reduction is implemented by requiring a globally defined symmetry and restricting…

High Energy Physics - Theory · Physics 2026-05-18 Goffredo Chirco , Lucio Vacchiano , Patrizia Vitale

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

We construct an example of supersymmetric Chern-Simons-matter theory with a matter field transforming as a singlet representation of the supersymmetry algebra, where the bosonic and fermionic degrees of freedom do not match. This is…

High Energy Physics - Theory · Physics 2009-04-24 Yu Nakayama , Makoto Sakaguchi , Kentaroh Yoshida