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Related papers: 2D induced gravity from canonically gauged WZNW sy…

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The low-energy behavior of near-extremal black holes can be understood from the near-horizon AdS_2 region. In turn, this region is effectively described by using Jackiw-Teitelboim gravity coupled to Yang-Mills theory through the…

High Energy Physics - Theory · Physics 2019-09-16 Luca V. Iliesiu

General 2d dilaton theories, containing spherically symmetric gravity and hence the Schwarzschild black hole as a special case, are quantized by an exact path integral of their geometric (Cartan-) variables. Matter, represented by minimally…

High Energy Physics - Theory · Physics 2009-10-31 W. Kummer , H. Liebl , D. V. Vassilevich

We describe various aspects of two-dimensional $N=2$ supergravity in superspace. We present the solution to the constraints in terms of unconstrained prepotentials, and the different superspace measures (full and chiral) used in the…

High Energy Physics - Theory · Physics 2007-05-23 M. T. Grisaru , M. E. Wehlau

We introduce a gauge and diffeomorphism invariant theory on Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it contains only first class constraints, and the spacetime metric…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Subenoy Chakraborty , Peter Peldan

We investigate the phase space of a typical model of 1+1 dimensional gravity (Jackiw-Teitelboim model with cylindrical topology) using its reformulation as a non abelian gauge theory based on the sl(2,R) algebra. Modifying the conventional…

High Energy Physics - Theory · Physics 2009-10-28 P. Schaller , T. Strobl

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

Starting with the prepotential description of two-dimensional $(2,2)$ supergravity we use local supersymmetry transformations to go to light-cone gauge. We discuss properties of the theory in this gauge and derive Ward identities for…

High Energy Physics - Theory · Physics 2009-10-28 M. T. Grisaru , M. E. Wehlau

In this article we continue the work on translating elements of the perturbative quantum field theory defined on Minkowski spacetime into the background independent framework of Loop Quantum Gravity. We present the construction of r-Fock…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Mehdi Assanioussi , Jerzy Lewandowski

After summarizing basic concepts for the exterior algebra we firstly discuss the gauge structure of the bundle over base manifold for deciding the form of the gravitational sector of the total Lagrangian in any dimensions. Then we couple…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Caglar Pala , Ertan Kok , Ozcan Sert , Muzaffer Adak

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric…

High Energy Physics - Theory · Physics 2015-06-05 David S. Berman , Edvard T. Musaev , Daniel C. Thompson

We show that Poincare-invariant topological gravity in even dimensions can be formulated as a transgression field theory in one higher dimension whose gauge connections are associated to linear and nonlinear realizations of the Poincare…

High Energy Physics - Theory · Physics 2014-10-21 Patricio Salgado , Richard J. Szabo , Omar Valdivia

The $SL(2,R)/U(1)$ gauged WZWN model is modified by a topological term and the accompanying change in the geometry of the two dimensional target space is determined. The possibility of this additional term arises from a symmetry in the…

High Energy Physics - Theory · Physics 2009-10-22 N. Mohammedi

A first attempt at adding matter degrees of freedom to the two-dimensional ``vacuum'' gravity model presented in gr-qc/9907071 is analyzed in this paper. Just as in the previous pure gravity case, quantum diffeomorphism operators…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Aldaya , J. L. Jaramillo

We review the Dirac formalism for dealing with constraints in a canonical Hamiltonian formulation and discuss gauge freedom and display constraints for gauge theories in a general context. We introduce the Dirac bracket and show that it…

Mathematical Physics · Physics 2020-07-21 Jon Allen , Richard A. Matzner

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and as such, it has been successfully applied to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , Eugeniu M. Popescu

We discuss the two-dimensional isotropic antiferromagnet in the framework of gauge invariance. Gauge invariance is one of the most subtle useful concepts in theoretical physics, since it allows one to describe the time evolution of complex…

High Energy Physics - Theory · Physics 2013-09-10 S. A. Leonel , A. C. R. Mendes , W. Oliveira , G. L. Silva , L. M. V. Xavier

We find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but…

High Energy Physics - Theory · Physics 2012-04-24 Mariana Graña , Diego Marques

Two-dimensional gravity in the light-cone gauge was shown by Polyakov to exhibit an underlying $SL(2,R)$ Kac-Moody symmetry, which may be used to express the energy-momentum tensor for the metric component $h_{++}$ in terms of the $SL(2,R)$…

High Energy Physics - Theory · Physics 2009-10-22 C. N. Pope

Starting from a topological gauge theory in two dimensions with symmetry groups $ISO(2,1)$, $SO(2,1)$ and $SO(1,2)$ we construct a model for gravity with non-trivial coupling to matter. We discuss the equations of motion which are connected…

High Energy Physics - Theory · Physics 2009-10-22 L. F. Cugliandolo , F. A. Schaposnik , H. Vucetich