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We draw attention to a novel type of geometric gauge invariance relating the autoparallel equations of motion in different Riemann-Cartan spacetimes with each other. The novelty lies in the fact that the equations of motion are invariant…

General Relativity and Quantum Cosmology · Physics 2011-03-17 H. Kleinert , A. Pelster

In this paper, we generalise the treatment of isolated horizons in loop quantum gravity, resulting in a Chern-Simons theory on the boundary in the four-dimensional case, to non-distorted isolated horizons in 2(n+1)-dimensional spacetimes.…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer , Thomas Thiemann , Andreas Thurn

This is the second in a series of two contributions in which we set out to establish a novel momentum space framework to treat field theoretical infinities in perturbative calculations when parity-violating objects occur. Since no analytic…

High Energy Physics - Theory · Physics 2014-11-18 A. P. Baeta Scarpelli , M. Sampaio , M. C. Nemes , B. Hiller

We review the relevance to the black hole entropy problem of boundary dynamics in Chern-Simons gravity. We then describe a recent derivation of the action induced on the four dimensional boundary in a five dimensional Chern-Simons gravity…

High Energy Physics - Theory · Physics 2007-05-23 J. Gegenberg , G. Kunstatter

It is shown that in all odd dimensional Chern-Simons theories states in which the torsion is non zero (but it can approach smoothly to zero outside suitable regions) do exist. Some possible observational effects related to neutrino…

General Relativity and Quantum Cosmology · Physics 2008-07-02 F. Canfora

In the presence of boundaries the integrated conformal anomaly is modified by the boundary terms so that the anomaly is non-vanishing in any (even or odd) dimension. The boundary terms are due to extrinsic curvature whose exact structure in…

High Energy Physics - Theory · Physics 2017-02-09 Amin Faraji Astaneh , Sergey N. Solodukhin

General Teleparallel theories assume that curvature is vanishing in which case gravity can be solely represented by torsion and/or nonmetricity. Using differential form language, we express the Riemannian Gauss-Bonnet invariant concisely in…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Juan Manuel Armaleo , Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta

We review the parity anomaly and a duality web in 2+1 dimensions. An odd dimensional non-interacting Dirac fermion theory is not parity invariant at quantum level. We demonstrate the parity anomaly in a three dimensional non-interacting…

High Energy Physics - Theory · Physics 2018-08-29 Chen-Te Ma

In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a…

High Energy Physics - Theory · Physics 2011-08-17 Biswarup Mukhopadhyaya , Soumitra Sengupta

We investigate physical implications of a gravitational analog of axion electrodynamics with a parity-violating gravitoelectromagnetic theta term. This is related to the Nieh-Yan topological invariant in gravity with torsion, in contrast to…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Athanasios Chatzistavrakidis , Georgios Karagiannis , George Manolakos , Peter Schupp

The paper is based on the recently proposed 4-dimensional optical space theory and draws some of its consequences for gravitation. Starting with the discussion of central movement, the paper proceeds to establish the a metric compatible…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

Geometric torsions are torsions of acyclic complexes of vector spaces which consist of differentials of geometric quantities assigned to the elements of a manifold triangulation. We use geometric torsions to construct invariants for a…

Geometric Topology · Mathematics 2009-11-13 I. G. Korepanov

The Chern-Simons-like gravitational action is evaluated explicitly in four dimensional space-time by radiative corrections at one-loop level. The calculation is performed in fermionic sector where the Dirac fermions interact with the…

High Energy Physics - Theory · Physics 2009-11-10 T. Mariz , J. R. Nascimento , E. Passos , R. F. Ribeiro

In three spacetime dimensions, where no graviton propagates, pure gravity is known to be finite. It is natural to inquire whether finiteness survives the coupling with matter. Standard arguments ensure that there exists a subtraction scheme…

High Energy Physics - Theory · Physics 2009-11-10 Damiano Anselmi

We investigate the constraints imposed by global gravitational anomalies on parity odd induced transport coefficients in even dimensions for theories with chiral fermions, gravitinos and self dual tensors. The $\eta$-invariant for the large…

High Energy Physics - Theory · Physics 2016-05-24 Subham Dutta Chowdhury , Justin R. David

We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory, we develop a framework with both U(1) and dipole gauge…

Strongly Correlated Electrons · Physics 2023-10-12 Xiaoyang Huang

We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional…

High Energy Physics - Theory · Physics 2015-05-28 Karl Landsteiner , Eugenio Megias , Luis Melgar , Francisco Pena-Benitez

Recent measurements of the 4-point correlation function in large-scale galaxy surveys have found apparent evidence of parity violation in the distribution of galaxies. This cannot happen via dynamical gravitational effects in general…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-04 Pritha Paul , Chris Clarkson , Roy Maartens

We study a 5d gravity theory with a warped metric and show that two N = 2 supersymmetric quantum-mechanical systems are hidden in the 4d spectrum. The supersymmetry can be regarded as a remnant of higher-dimensional general coordinate…

High Energy Physics - Theory · Physics 2008-11-26 C. S. Lim , Tomoaki Nagasawa , Satoshi Ohya , Kazuki Sakamoto , Makoto Sakamoto

We consider conformal gravity boundary conditions and outline the highest dimensional non-trivial asymptotic symmetry algebras of conformal gravity. The highest among them is five dimensional and leads to a global geon solution.

High Energy Physics - Theory · Physics 2017-09-26 I. Lovrekovic