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A correspondence between three-dimensional flat connections and constant curvature four-dimensional simplices is used to give a novel quantization of geometry via complex SL(2,C) Chern-Simons theory. The resulting quantum geometrical states…

High Energy Physics - Theory · Physics 2021-08-18 Hal M. Haggard , Muxin Han , Wojciech Kaminski , Aldo Riello

We give an explicitly gauge invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de-Sitter backgrounds. In flat backgrounds, we also study the effects of gravitational Chern-Simons…

High Energy Physics - Theory · Physics 2010-05-19 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Wolfgang Wieland

These lectures are 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 action -in the sense of fiber bundles- in more than three…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Zanelli

We uncover a direct connection between three-dimensional gravity with chiral boundary conditions and a class of forced integrable systems. Starting from the Chern-Simons formulation, we derive consistent boundary conditions on a non-compact…

High Energy Physics - Theory · Physics 2026-04-14 Hamed Adami , Anouchah Latifi

We study the geometric optics limit of the electrodynamics in the presence of Lorentz violating Chern-Simons term in (3+1) dimensions. The Chern-Simons term couples the dual electromagnetic tensor to an external four-vector and the…

High Energy Physics - Phenomenology · Physics 2025-01-07 Arpan Das , Hriditi Howlader , Alekha C. Nayak

The anyonic behaviour of massive spinning point particles coupled to linearized massive vector Chern-Simons gravity is studied. This model constitutes the uniform spin-2 generalization of the vector model formed by coupling charged point…

High Energy Physics - Theory · Physics 2007-05-23 C. Aragone P. J. Arias

The bulk partition function of pure Chern-Simons theory on a three-manifold is a state in the space of conformal blocks of the dual boundary RCFT, and therefore transforms non-trivially under the boundary modular group. In contrast the bulk…

High Energy Physics - Theory · Physics 2016-11-23 Sergei Gukov , Emil Martinec , Gregory Moore , Andrew Strominger

The Martin-Schwinger hierarchy of correlations are reexamined and the three-particle correlations are investigated under various partial summations. Besides the known approximations of screened, ladder and maximally crossed diagrams the…

Statistical Mechanics · Physics 2013-05-24 Klaus Morawetz

Some of supersymmetric Chern-Simons theories are known to exhibit supersymmetry breaking when the Chern-Simons level is less than a certain number. The mechanism of the supersymmetry breaking is, however, not clear from the field theory…

High Energy Physics - Theory · Physics 2015-06-04 Takao Suyama

We examine the possibility that the physical spectrum of a vector-like gauge field theory exhibits an enhanced global symmetry near a chiral phase transition. A transition from the Goldstone phase to the symmetric phase is expected as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Appelquist , P. S. Rodrigues da Silva , F. Sannino

The power suppression at largest scale in the CMB TT powerspectrum might imply the occurrence of a pre-inflationary bounce. We calculate the circularly polarized gravitational wave, leaded by the gravitational Chern-Simons term which…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Yu-Tong Wang , Yun-Song Piao

The complete non-linear three-dimensional Einstein gravity with gravitational Chern-Simons term and cosmological constant are studied in dreibein formulation. The constraints and their algebras are computed in an explicit form. From…

High Energy Physics - Theory · Physics 2014-11-18 Mu-in Park

Given the growing interest in gravitational-wave and cosmological parity-violating effects in dynamical Chern-Simons (dCS) gravity, it is crucial to investigate whether the scalar-gravitational Pontryagin term in dCS persists when…

High Energy Physics - Theory · Physics 2024-03-26 Stephon Alexander , Heliudson Bernardo , Cyril Creque-Sarbinowski

Non-Abelian gauge theories "live" in a space-time with non-trivial topology that can be characterized by an odd-dimensional Chern-Simons form. In QCD, Chern-Simons form is induced by the chiral anomaly and the presence of topological…

High Energy Physics - Phenomenology · Physics 2009-11-18 Dmitri E. Kharzeev

Gravitational interferometers and cosmological observations of the cosmic microwave background offer us the prospect to probe the laws of gravity in the primordial universe. To study and interpret these datasets we need to know the possible…

High Energy Physics - Theory · Physics 2022-06-01 Giovanni Cabass , Enrico Pajer , David Stefanyszyn , Jakub Supeł

We construct a 3+1 dimensional holographic model dual to a parity violating hydrodynamic system in 2+1 dimensions. Our model contains gravitational and electrodynamic Chern-Simons terms coupled to a neutral pseudo scalar $\theta$, and a…

High Energy Physics - Theory · Physics 2015-06-05 Jiunn-Wei Chen , Shou-Huang Dai , Nien-En Lee , Debaprasad Maity

We discuss a fine-tuning of rather generic three dimensional higher-curvature gravity actions that leads to gauge symmetry enhancement at the linearized level via partial masslessness. Requiring this gauge symmetry to be present also…

High Energy Physics - Theory · Physics 2012-03-27 Hamid Afshar , Branislav Cvetković , Sabine Ertl , Daniel Grumiller , Niklas Johansson

We consider a nonstandard $D=2+1$ gravity described by a translational Chern--Simons action, and couple it to the nonrelativistic point particles. We fix the asymptotic coordinate transformations in such a way that the space part of the…

High Energy Physics - Theory · Physics 2009-10-31 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

At finite density parity can be spontaneously broken in strong interactions with far reaching implications. In particular, a time-dependent pseudoscalar background would modify QED by adding a Chern-Simons term to the lagrangian. As a…

High Energy Physics - Phenomenology · Physics 2011-09-21 Alexander Andrianov , Vladimir Andrianov , Domenec Espriu , Xumeu Planells