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Topological quantum field theories containing matter fields are constructed by twisting $N=2$ supersymmetric quantum field theories. It is shown that $N=2$ chiral (antichiral) multiplets lead to topological sigma models while $N=2$ twisted…

High Energy Physics - Theory · Physics 2009-10-22 J. M. F. Labastida , P. M. Llatas

We examine a recent deformation of three-dimensional anti-deSitter gravity based on noncommutative Chern-Simons theory with gauge group $U(1,1)\times U(1,1)$. In addition to a noncommutative analogue of 3D gravity, the theory contains two…

High Energy Physics - Theory · Physics 2009-11-11 A. Pinzul , A. Stern

We study three dimensional topologically massive gravity (TMG) in presence of a generic codimension one null boundary. The existence of the boundary is accounted for by enlarging the Hilbert space of the theory by degrees of freedom which…

High Energy Physics - Theory · Physics 2023-03-22 Vahid Taghiloo

The addition of a topologically massive term to an admittedly non-unitary three-dimensional massive model, be it an electromagnetic system or a gravitational one, does not cure its non-unitarity. What about the enlargement of avowedly…

High Energy Physics - Theory · Physics 2009-11-11 Antonio Accioly , Marco Dias

We study the quantum mechanics of a system of topologically interacting particles in 2+1 dimensions, which is described by coupling the particles to a Chern-Simons gauge field of an inhomogeneous group. Analysis of the phase space shows…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Bais , N. M. Muller

Topologically massive gravity (TMG) in three dimensions provides an interesting toy model for constructing a quantum theory of gravity. Although it can be thought of as standing as a theory in its own right, it is also of interest to see…

High Energy Physics - Theory · Physics 2010-03-01 H. Lu , C. N. Pope

We calculate the running of the three coupling constants in cosmological, topologically massive 3d gravity. We find that \nu, the dimensionless coefficient of the Chern-Simons term, has vanishing beta function. The flow of the cosmological…

High Energy Physics - Theory · Physics 2015-05-18 R. Percacci , E. Sezgin

In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the ``boundary'' of spacetime. I review what is…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

In this note we investigate the generalized massive gravity in asymptotically $AdS_3$ spacetime by combining the two mass terms of topological massive gravity and new massive gravity theory. We study the linearized excitations around the…

High Energy Physics - Theory · Physics 2009-06-30 Yan Liu , Ya-Wen Sun

We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian Chern--Simons term. It shows topologically stable, anyonic vortices as classical solutions. The fields are studied in the case of rotational symmetry and analytic…

High Energy Physics - Theory · Physics 2008-02-03 J. Gladikowski

The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional…

Statistical Mechanics · Physics 2020-07-01 Federico Tonielli , Jan Carl Budich , Alexander Altland , Sebastian Diehl

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function…

High Energy Physics - Theory · Physics 2020-12-30 Luis F. Alday , Jin-Beom Bae , Nathan Benjamin , Carmen Jorge-Diaz

Topological phases of matter in (2+1) dimensions are commonly equipped with global symmetries, such as electric-magnetic duality in gauge theories and bilayer symmetry in fractional quantum Hall states. Gauging these symmetries into local…

Strongly Correlated Electrons · Physics 2017-10-04 Xiao Chen , Abhishek Roy , Jeffrey C. Y. Teo , Shinsei Ryu

We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The…

High Energy Physics - Theory · Physics 2009-10-22 Hikaru Kawai , Yoshihisa Kitazawa , Masao Ninomiya

Topological phases of matter are one of the hallmarks of quantum condensed matter physics. One of their striking features is a bulk-boundary correspondence wherein the topological nature of the bulk manifests itself on boundaries via exotic…

Statistical Mechanics · Physics 2017-05-17 Roberto Bondesan , Zohar Ringel

Quasi-topological gravity is a new gravitational theory including curvature-cubed interactions and for which exact black hole solutions were constructed. In a holographic framework, classical quasi-topological gravity can be thought to be…

High Energy Physics - Theory · Physics 2015-03-14 Robert C. Myers , Miguel F. Paulos , Aninda Sinha

One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity in the ultra-violet regime can admit non-singular…

High Energy Physics - Theory · Physics 2010-12-03 Tirthabir Biswas , Tomi Koivisto , Anupam Mazumdar

We revisit the construction in four-dimensional gauged $Spin(4)$ supergravity of the holographic duals to topologically twisted three-dimensional $\mathcal{N}=4$ field theories. Our focus in this paper is to highlight some subtleties…

High Energy Physics - Theory · Physics 2022-02-03 Pietro Benetti Genolini , Matan Grinberg , Paul Richmond

Three-dimensional gravity in Anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the…

High Energy Physics - Theory · Physics 2011-08-02 Ricardo Couso Santamaria , Jose D. Edelstein , Alan Garbarz , Gaston Giribet

We propose a new group-theoretical (Chern-Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields. Our model has been formulated in terms of two dreibeins…

High Energy Physics - Theory · Physics 2018-04-25 S. Hoseinzadeh , A. Rezaei-Aghdam
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