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Chern-Simons field theory based on a compact non-abelian gauge group is studied as a theory of knots and links in three dimensions. A method to obtain the invariants for links made from braids of upto four strands is developed. This…

High Energy Physics - Theory · Physics 2009-10-22 P. Rama Devi , T. R. Govindarajan , R. K. Kaul

We perform the perturbation analysis of the Chern-Simons modified gravity around the AdS$_4$ spacetimes (its curvature radius $\ell$) to obtain the critical gravity. In general, we could not obtain an explicit form of perturbed Einstein…

High Energy Physics - Theory · Physics 2015-05-30 Taeyoon Moon , Yun Soo Myung

Based on the gauge potential decomposition theory and the $\phi $-mapping theory, the topological inner structure of the Chern-Simons-Higgs vortex has been showed in detail. The evolution of CSH vortices is studied from the topological…

High Energy Physics - Theory · Physics 2009-11-07 Li-Bin Fu , Yi-Shi Duan , Hong Zhang

We introduce and study the Wilson loops in a general 3D topological field theories (TFTs), and show that the expectation value of Wilson loops also gives knot invariants as in Chern-Simons theory. We study the TFTs within the…

High Energy Physics - Theory · Physics 2011-11-15 Jian Qiu , Maxim Zabzine

Vector supersymmetry is shown to exist also in light-cone gauge Chern-Simons theory. Using a gauge invariant regularization scheme, we demonstrate explicitly that the finite quantum correction to the coupling constant of Chern-Simons theory…

High Energy Physics - Theory · Physics 2009-10-31 W. F. Chen , G. Leibbrandt

The nucleon has been used as a laboratory to investigate its own spin structure and Quantum Chromodynamics. New experimental data on nucleon spin structure at low to intermediate momentum transfers combined with existing high momentum…

Nuclear Experiment · Physics 2009-11-11 J. -P. Chen , A. Deur , Zein-Eddine Meziani

In this paper, we present a novel extension of massive gravity theory; the Brane-Chern-Simons massive gravity theory. We explore the cosmological implications of this theory by deriving the background equations and demonstrating the…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Sobhan Kazempour , Amin Rezaei Akbarieh

In this talk some recent results in the quantization of Chern-Simons field theories in the Coulomb gauge will be presented. In the first part, the consistency of the Chern-Simons field theories in this gauge is proven using the Dirac's…

High Energy Physics - Theory · Physics 2007-05-23 Franco Ferrari , Ignazio Lazzizzera

In this article, we will compute the expectation value of observables (which appear as Wilson loops) in $\mathrm{U}(1)^n$ Chern-Simons theory for closed oriented $3$-manifolds. We will show how the various topological sectors of the…

Mathematical Physics · Physics 2026-03-10 Michail Tagaris , Frank Thuillier

We examine string-theory orientifold planes of various types including the Sp and SO-odd planes, and deduce the gravitational Chern-Simons couplings on their world-volumes. Consistency checks are carried out in different spacetime…

High Energy Physics - Theory · Physics 2009-10-31 Sunil Mukhi , Nemani V. Suryanarayana

Chirality-induced spin selectivity (CISS) is a striking quantum phenomenon in which electron transport through chiral molecules leads to spin polarization -- even in the absence of external magnetic fields or magnetic components. Although…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Shiv Upadhyay , Xuechen Zheng , Tian Wang , Agam Shayit , Jun Liu , Dali Sun , Xiaosong Li

The expectation value of a smooth conformal line defect in a CFT is a conformal invariant functional of its path in space-time. For example, in large $N$ holographic theories, these fundamental observables are dual to the open string…

High Energy Physics - Theory · Physics 2024-04-23 Barak Gabai , Amit Sever , De-liang Zhong

The Green functions of the Chern-Simons theory quantized in the axial gauge are shown to be calculable as the unique, exact solution of the Ward identities which express the invariance of the theory under the topological supersymmetry of…

High Energy Physics - Theory · Physics 2007-05-23 A. Brandhuber , S. Emery , M. Langer , O. Piguet , M. Schweda , S. P. Sorella

In this paper we consider a model for gravity in 4-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a 5-dimensional Chern-Simons theory. Its topological origin…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

In this note we present a brief overview of connections between Chern-Simons theory and topological strings. A prominent role in this link has been played by large N dualities and holography. We demystify this by explaining why the Kahler…

Algebraic Geometry · Mathematics 2025-05-16 Cumrun Vafa

Scattering amplitudes in three-dimensional N=6 Chern-Simons theory are shown to be non-invariant with respect to the free representation of the osp(6|4) symmetry generators. At tree and one-loop level these "anomalous" terms occur only for…

High Energy Physics - Theory · Physics 2012-11-06 Till Bargheer , Niklas Beisert , Florian Loebbert , Tristan McLoughlin

In the context of the non-relativistic theories, a generalization of the Chern--Weil-theorem allows us to show that extended Chern--Simons actions for gravity in d=4 invariant under some specific non-relativistic groups lead to modified…

High Energy Physics - Theory · Physics 2018-11-06 G. Rubio , P. Salgado

We discuss the G\"{o}del-type solutions within the dynamical Chern-Simons modified gravity in four dimensions. Within our study, we show that in the vacuum case the causal solutions are possible which cannot take place within the…

High Energy Physics - Theory · Physics 2016-12-07 P. J. Porfirio , J. B. Fonseca-Neto , J. R. Nascimento , A. Yu. Petrov

We show that the planar Chern-Simons (CS) theory on S^3 can be described by its dimensionally reduced model. This description of CS theory can be regarded as a novel large-N reduction for gauge theories on S^3. We find that if one expands…

High Energy Physics - Theory · Physics 2010-05-27 Goro Ishiki , Shinji Shimasaki , Asato Tsuchiya

A versatile approach to modeling the conformations and energetics of DNA loops is presented. The model is based on the classical theory of elasticity, modified to describe the intrinsic twist and curvature of DNA, the DNA bending…

Biological Physics · Physics 2007-05-23 Alexander Balaeff , L. Mahadevan , Klaus Schulten
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