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It is shown that the Topological Massive and ``Self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Arias , A. Restuccia

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

Working in the first order formalism of gravity, we propose an action that combines the self and anti-self-dual parts of the curvature and comprises all the diffeomorphism invariant Lagrangians that one can consider in this formalism. The…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Javier Chagoya , M. Sabido

Large-distance modification of gravity may be the mechanism for solving the cosmological constant problem. A simple model of the large-distance modification -- four-dimensional (4D) gravity with the hard mass term-- is problematic from the…

High Energy Physics - Theory · Physics 2009-11-10 G. Gabadadze , M. Shifman

In this work we apply different duality techniques, both the dual projection, based on the soldering formalism and the master action, in order to obtain and study the dual description of the Carroll-Field-Jackiw model \cite{cfj}, a theory…

High Energy Physics - Theory · Physics 2007-05-23 M. S. Guimarães , L. Grigorio , C. Wotzasek

In this pedagogical note, we discuss obstacles to the usual Palatini formulations of gauge and gravity theories in presence of odd-derivative order, Chern-Simons, terms.

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Deser

Noncommutative Maxwell-Chern-Simons theory in 3-dimensions is defined in terms of star product and noncommutative fields. Seiberg-Witten map is employed to write it in terms of ordinary fields. A parent action is introduced and the dual…

High Energy Physics - Theory · Physics 2010-04-05 O. F. Dayi

The Liouville action for two--dimensional quantum gravity coupled to interacting matter contains terms that have not been considered previously. They are crucial for understanding the renormalization group flow and can be observed in recent…

High Energy Physics - Theory · Physics 2009-10-22 Christof Schmidhuber

We first find the linear approximation of the second plus fourth order derivative massive conformal gravity action. Then we reduce the linearized action to separated second order derivative terms, which allows us to quantize the theory by…

General Relativity and Quantum Cosmology · Physics 2016-04-08 F. F. Faria

Group Field Theories, a generalization of matrix models for 2d gravity, represent a 2nd quantization of both loop quantum gravity and simplicial quantum gravity. In this paper, we construct a new class of Group Field Theory models, for any…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniele Oriti , Tamer Tlas

We consider the target space theory of bosonic and heterotic string theory to first order in $\alpha'$ compactified to three dimensions, using a formulation that is manifestly T-duality invariant under ${\rm O}(d,d,\mathbb{R})$ with $d=23$…

High Energy Physics - Theory · Physics 2023-08-02 Camille Eloy , Olaf Hohm , Henning Samtleben

We provide an off-shell formulation of four-dimensional higher spin gravity based on a covariant Hamiltonian action on an open nine-dimensional Poisson manifold whose boundary consists of the direct product of spacetime and a noncommutative…

High Energy Physics - Theory · Physics 2016-03-29 Nicolas Boulanger , Ergin Sezgin , Per Sundell

We present self-dual spin-3 and 4 actions using relevant dreibein fields. since these actions start with a Chern-Simons like kinetic term (and therefore cannot be obtained through dimensional reduction) one might wonder whether they need…

High Energy Physics - Theory · Physics 2007-05-23 C. Aragone , A. Khoudeir

We generalize the Giveon-Kutasov duality for the 3d $\mathcal{N}=3$ $U(N)_{k,k+nN}$ Chern-Simons matter gauge theory with $F$ fundamental hypermultiplets by introducing $SU(N)$ and $U(1)$ Chern-Simons levels differently. We study the…

High Energy Physics - Theory · Physics 2022-05-11 Naotaka Kubo , Keita Nii

We study the system of self-dual Maxwell field coupled to 3D gravity with torsion, with Maxwell field modified by a topological mass term. General structure of the field equations reveals a new, dynamical role of the classical central…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Blagojević , B. Cvetković

The partition function of four dimensional SO(4) Yang-Mills theory is rewritten in terms of variables admitting straightforward relation to the partition function of pure 4D gravity. The gauge action turns into first-order Hilbert-Palatini…

High Energy Physics - Theory · Physics 2011-06-03 A. G. Shuvaev

This is a brief review of modified gravity cosmologies. Generically extensions of gravity action involve higher derivative terms, which can result in ghosts and instabilities. There are three ways to circumvent this: Chern-Simons terms,…

General Relativity and Quantum Cosmology · Physics 2010-02-24 Tomi S. Koivisto

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant system --with a fiber bundle formulation-- in more than three dimensions,…

High Energy Physics - Theory · Physics 2008-03-21 Jorge Zanelli

F-theory compactifications with a nontrivial Mordell-Weil group realize abelian gauge symmetry through rational sections, but their consistency is ultimately a statement about the quantum effective action. We show that compactification on a…

High Energy Physics - Theory · Physics 2026-04-24 Mir Faizal , Arshid Shabir

We consider 2+1 dimensional off-shell N = 1 pure supergravity that is constructed from graviton, gravitino and auxiliary field. We show that the $R^2$ supersymmetric invariant and $R^2_{\mu \nu}$ supersymmetric invariant are expressed as…

High Energy Physics - Theory · Physics 2016-05-25 Norihiro Iizuka , Akinori Tanaka