scholarly journals A NEW APPROACH TO THE ANALYSIS OF A NONCOMMUTATIVE CHERN–SIMONS THEORY

2006 ◽  
Vol 21 (10) ◽  
pp. 821-830 ◽  
Author(s):  
PRADIP MUKHERJEE ◽  
ANIRBAN SAHA
Keyword(s):  
Gauge Theory ◽  
Closed Form ◽  
Adjoint Representation ◽  
Simons Theory ◽  
New Approach ◽  
Novel Approach ◽  
Chern Simons ◽  
Chern Simons Theory ◽  
Noncommutative Parameter

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg–Witten map which is exact in the noncommutative parameter.

scholarly journals STATIC POTENTIAL AND A NEW GENERALIZED CONNECTION IN THREE DIMENSIONS

2004 ◽  
Vol 19 (22) ◽  
pp. 1695-1700 ◽  
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Three Dimensions ◽  
Simons Theory ◽  
Static Potential ◽  
Gauge Invariant ◽  
Confining Potential ◽  
Static Interaction ◽  
Pure Gauge Theory ◽  
Chern Simons ◽  
Chern Simons Theory

For a recently proposed pure gauge theory in three dimensions, without a Chern–Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. As a consequence, a confining potential is obtained. This result displays a marked qualitative departure from the usual Maxwell–Chern–Simons theory.

A three-dimensional gauge theory

1992 ◽  
Vol 70 (5) ◽  
pp. 301-304 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Three Dimensional ◽  
Background Field ◽  
Field Method ◽  
Simons Theory ◽  
Point Function ◽  
Background Field Method ◽  
Chern Simons ◽  
Chern Simons Theory

We investigate a three-dimensional gauge theory modeled on Chern–Simons theory. The Lagrangian is most compactly written in terms of a two-index tensor that can be decomposed into fields with spins zero, one, and two. These all mix under the gauge transformation. The background-field method of quantization is used in conjunction with operator regularization to compute the real part of the two-point function for the scalar field.

scholarly journals THE STRUCTURE OF ADS BLACK HOLES AND CHERN–SIMONS THEORY IN 2 + 1 DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 505-520 ◽  
Author(s):  
SHARMANTHIE FERNANDO ◽  
FREYDOON MANSOURI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Excited States ◽  
Simons Theory ◽  
De Sitter ◽  
Sitter Group ◽  
Ads Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

We study anti-de Sitter black holes in 2 + 1 dimensions in terms of Chern–Simons gauge theory of the anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the black hole.

scholarly journals THE R→α′/R SPACE-TIME DUALITY FROM THE 2+1 POINT OF VIEW

1991 ◽  
Vol 06 (06) ◽  
pp. 501-515 ◽  
Author(s):  
YAN I. KOGAN
Keyword(s):  
Gauge Theory ◽  
Gauge Invariance ◽  
Mass Term ◽  
Point Of View ◽  
Spontaneous Breaking ◽  
Simons Theory ◽  
Membrane Theory ◽  
Small Scales ◽  
Chern Simons ◽  
Chern Simons Theory

The duality between the large and small compactification radii in string theory (bosonic) is considered in the open topological membrane theory. The 2+1 analog of this R→α′/R duality is the duality between large and small scales in the corresponding topologically massive gauge theory with the spontaneous breaking of gauge invariance. This 2+1 duality is a consequence of the equivalence between the Chern-Simons theory with the mass term and the topologically massive gauge theory.

scholarly journals On higher holonomy invariants in higher gauge theory I

2016 ◽  
Vol 13 (07) ◽  
pp. 1650090 ◽  
Author(s):  
Roberto Zucchini
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Simons Theory ◽  
Arbitrary Genus ◽  
Higher Gauge Theory ◽  
Chern Simons ◽  
Base Data ◽  
Chern Simons Theory

This is the first of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern–Simons theory. For a flat 2-connection, we define the 2-holonomy of surface knots of arbitrary genus and determine its covariance properties under 1-gauge transformation and change of base data.

scholarly journals Operator regularization and noncommutative Chern–Simons theory

2004 ◽  
Vol 82 (5) ◽  
pp. 403-409
Author(s):  
D G McKeon
Keyword(s):  
Simons Theory ◽  
Point Function ◽  
Chern Simons ◽  
Chern Simons Theory ◽  
Noncommutative Parameter

We examine noncommutative Chern–Simons theory using operator regularization. Both the ζ function and the η function are needed to determine one-loop effects. The contributions to these functions coming from the two-point function is evaluated. The U(N) noncommutative model smoothly reduces to the SU(N) commutative model as the noncommutative parameter θμν vanishes.PACS Nos.: 11.10.–z

scholarly journals 4D Chern–Simons theory and affine Gaudin models

2021 ◽  
Vol 111 (1) ◽  
Author(s):  
Benoît Vicedo
Keyword(s):  
Gauge Theory ◽  
Integrable Field Theories ◽  
Field Theories ◽  
Simons Theory ◽  
Gaudin Models ◽  
Chern Simons ◽  
Classical Integrable ◽  
Integrable Field ◽  
Chern Simons Theory

AbstractWe relate two formalisms recently proposed for describing classical integrable field theories. The first (Costello and Yamazaki in Gauge Theory and Integrability, III, 2019) is based on the action of four-dimensional Chern–Simons theory introduced and studied by Costello, Witten and Yamazaki. The second (Costello and Yamazaki, in Gauge Theory and Integrability, III, 2017) makes use of classical generalised Gaudin models associated with untwisted affine Kac–Moody algebras.

scholarly journals On the Pulsating Strings inAdS4×ℂℙ3

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
H. Dimov ◽  
R. C. Rashkov
Keyword(s):  
Gauge Theory ◽  
Simons Theory ◽  
Anomalous Dimensions ◽  
Chern Simons ◽  
Chern Simons Theory

We study the class of pulsating strings onAdS4×ℂℙ3. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasiclassically quantize the theory and obtain the first corrections to the energy. The latter, due toAdS/CFTcorrespondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual𝒩=6Chern-Simons theory.

FLUID DYNAMICS, CHERN-SIMONS THEORY, AND THE QUANTUM HALL EFFECT

1991 ◽  
Vol 05 (16n17) ◽  
pp. 2735-2749 ◽  
Author(s):  
SAFI BAHCALL ◽  
LEONARD SUSSKIND
Keyword(s):  
Magnetic Field ◽  
Fluid Dynamics ◽  
Gauge Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Simons Theory ◽  
Quantum Hall System ◽  
Chern Simons ◽  
Chern Simons Theory

In this paper we show that classical fluid dynamics in a plane is a gauge theory useful for studying aspects of the quantum Hall system. When the fluid is charged and placed in a magnetic field, Chern-Simons fields appear naturally and the fractional statistics of vortex excitations can be understood qualitatively. Applying the fluid picture to a gas of anyons shows that it superconducts.

scholarly journals On higher holonomy invariants in higher gauge theory II

2016 ◽  
Vol 13 (07) ◽  
pp. 1650091 ◽  
Author(s):  
Roberto Zucchini
Keyword(s):  
Gauge Theory ◽  
Yield Surface ◽  
Simons Theory ◽  
Crossed Module ◽  
Knot Invariants ◽  
Crossed Modules ◽  
Higher Gauge Theory ◽  
Definition Of ◽  
Chern Simons ◽  
Chern Simons Theory

This is the second of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern–Simons theory. We provide a definition of trace over a crossed module to yield surface knot invariants upon application to 2-holonomies. We show further that the properties of the trace are best described using the theory quandle crossed modules.

Sign in / Sign up

Export Citation Format

Share Document