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We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition…

High Energy Physics - Theory · Physics 2008-11-26 Rajesh Gopakumar , Cumrun Vafa

In this paper, we consider spin-3 Chern-Simons-like theories of gravity as extended theories of spin-3 gravity in (2+1)- dimension. In order to determine the number of local degrees of freedom we present the Hamiltonian formulation of these…

High Energy Physics - Theory · Physics 2016-03-10 M. R. Setare , H. Adami

We analyze (2+1)-dimensional gravity with a Chern--Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2,R) "vector" Chern-Simons terms,…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

We consider $\mathcal{N} = 2$ superconformal gauge theories in four dimensions. We explain how these quiver gauge theories arise as low-energy worldvolume theories of D3-branes on orientifolds. Then, we examine their associated chiral…

High Energy Physics - Theory · Physics 2024-11-22 Jacob Abajian

We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on 7-manifolds, obtained from a topological…

High Energy Physics - Theory · Physics 2008-11-26 Robbert Dijkgraaf , Sergei Gukov , Andrew Neitzke , Cumrun Vafa

We include a Chern-Simons term in a GL(3,R) gauge formulation of gravity with a cosmological contribution in 2+1 dimension and we explore consistence showing that excitations must be causal and standard topological massive gravity is…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Rolando Gaitan

Chiral form fields in $d$ dimensions can be effectively described as edge modes of topological Chern-Simons theories in $d+1$ dimensions. At the same time, manifestly Lorentz-invariant Lagrangian description of such fields directly in terms…

High Energy Physics - Theory · Physics 2024-03-08 Oleg Evnin , Euihun Joung , Karapet Mkrtchyan

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 topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal

Non-relativistic ABJM theory is defined by Galilean limit of mass-deformed N=6 Chern-Simons theory. Holographic string theory dual to the theory is not known yet. To understand features candidate gravity dual might exhibit, we examine local…

High Energy Physics - Theory · Physics 2009-08-12 Yu Nakayama , Soo-Jong Rey

Warped dS$_3$ arises as a solution to topologically massive gravity (TMG) with positive cosmological constant $+1/\ell^2$ and Chern-Simons coefficient $1/\mu$ in the region $\mu^2 \ell^2 < 27$. It is given by a real line fibration over…

High Energy Physics - Theory · Physics 2012-11-16 Dionysios Anninos , Sophie de Buyl , Stephane Detournay

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to…

High Energy Physics - Theory · Physics 2007-05-23 L. Martina , O. K. Pashaev , G. Soliani

We present a top-down string theory holographic model of strongly interacting relativistic 2+1-dimensional fermions, paying careful attention to the discrete symmetries of parity and time reversal invariance. Our construction is based on…

High Energy Physics - Theory · Physics 2013-06-21 Joshua L. Davis , Hamid Omid , Gordon W. Semenoff

In this work, we investigate the AdS$_{3}$ gravitational bulk dual to an ensemble of Narain CFTs and their generalisations to establish bounds consistent with the Swampland program. Focusing on the AdS distance and finiteness conjectures,…

High Energy Physics - Theory · Physics 2025-10-23 R. Sammani , E. H Saidi , R. Ahl Laamara , L. B Drissi

Considering Chern-Simons like gravity theories in three dimensions as first order systems, we analyze the Hamiltonian structure of three theories Topological massive gravity, New massive gravity, and Zwei-Dreibein Gravity.We show that these…

High Energy Physics - Theory · Physics 2018-02-06 Mahdi Hajihashemi , Ahmad Shirzad

Using a first order Chern-Simons-like formulation of gravity we systematically construct higher-derivative extensions of general relativity in three dimensions. The construction ensures that the resulting higher-derivative gravity theories…

High Energy Physics - Theory · Physics 2015-06-19 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant models in 3…

Differential Geometry · Mathematics 2009-08-03 Derek K. Wise

It is widely believed that consistent theories of quantum gravity satisfy two basic kinematic constraints: they are free from any global symmetry, and they contain a complete spectrum of gauge charges. For compact, abelian gauge groups,…

High Energy Physics - Theory · Physics 2021-10-19 Ben Heidenreich , Jacob McNamara , Miguel Montero , Matthew Reece , Tom Rudelius , Irene Valenzuela

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic