scholarly journals BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory

2009 ◽  
Vol 80 (8) ◽  
Author(s):  
Mitsutoshi Fujita
Keyword(s):  
Wilson Loop ◽  
Simons Theory ◽  
3 Dimensional ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Explicit Connection Between Conformal Field Theory and 2+1 Chern–Simons Theory

1997 ◽  
Vol 12 (23) ◽  
pp. 1687-1697
Author(s):  
Daniel C. Cabra ◽  
Gerardo L. Rossini
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Wilson Loop ◽  
Simons Theory ◽  
Gauge Invariant ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

We give explicit field theoretical representations for the observables of (2+1)-dimensional Chern–Simons theory in terms of gauge-invariant composites of 2-D WZW fields. To test our identification we compute some basic Wilson loop correlators and re-obtain the known results.

A THREE-DIMENSIONAL COVARIANT APPROACH TO MONODROMY (SKEIN RELATIONS) IN CHERN-SIMONS THEORY

1990 ◽  
Vol 05 (32) ◽  
pp. 2747-2751 ◽  
Author(s):  
B. BRODA
Keyword(s):  
Integral Representation ◽  
Path Integral ◽  
Wilson Loop ◽  
Three Dimensional ◽  
Simons Theory ◽  
Monodromy Operator ◽  
Covariant Approach ◽  
Path Integral Representation ◽  
Chern Simons ◽  
Chern Simons Theory

A genuinely three-dimensional covariant approach to the monodromy operator (skein relations) in the context of Chern-Simons theory is proposed. A holomorphic path-integral representation for the holonomy operator (Wilson loop) and for the non-abelian Stokes theorem is used.

A Combinatorial Link Invariant of Finite Type Derived from Chern-Simons Theory

1997 ◽  
Vol 06 (02) ◽  
pp. 243-280 ◽  
Author(s):  
Allen C. Hirshfeld ◽  
Uwe Sassenberg ◽  
Thomas Klöker
Keyword(s):  
Wilson Loop ◽  
Perturbation Expansion ◽  
Simons Theory ◽  
Link Invariant ◽  
Third Order ◽  
Expectation Value ◽  
Knot Invariant ◽  
Chern Simons ◽  
Combinatorial Expression ◽  
Chern Simons Theory

We derive from the perturbation expansion of the Wilson loop expectation value in the Chern-Simons theory an explicit combinatorial expression for a third-order finite link invariant, thereby generalising the knot invariant considered in a previous article.

CHERN–SIMONS THEORY, HIDA DISTRIBUTIONS, AND STATE MODELS

2003 ◽  
Vol 06 (supp01) ◽  
pp. 65-81 ◽  
Author(s):  
S. ALBEVERIO ◽  
A. HAHN ◽  
A. N. SENGUPTA
Keyword(s):  
Wilson Loop ◽  
Functional Integral ◽  
Simons Theory ◽  
Infinite Dimensional ◽  
Linking Number ◽  
Gauge Fixing ◽  
Regularization Techniques ◽  
State Models ◽  
Chern Simons ◽  
Chern Simons Theory

In this paper we present the central ideas and results of a rigorous theory of the Chern–Simons functional integral. In particular, we show that it is possible to define the Wilson loop observables (WLOs) for pure Chern–Simons models with base manifold M = ℝ3 rigorously as infinite dimensional oscillatory integrals by exploiting an "axial gauge fixing" and applying certain regularization techniques like "loop-smearing" and "framing". The (values of the) WLOs can be computed explicitly. If the structure group G of the model is Abelian one obtains well-known linking number expressions for the WLOs. If G is Non-Abelian one obtains expressions which are similar but not identical to the state model representations for the Homfly and Kauffman polynomials given in [19, 21, 31].

scholarly journals 1/2BPS Wilson loop inN=6superconformal Chern-Simons theory at two loops

2013 ◽  
Vol 88 (2) ◽  
Author(s):  
Marco S. Bianchi ◽  
Gaston Giribet ◽  
Matias Leoni ◽  
Silvia Penati
Keyword(s):  
Wilson Loop ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Geometric aspects of interpolating gauge-fixing in Chern–Simons theory

2018 ◽  
Vol 33 (02) ◽  
pp. 1850012
Author(s):  
Laurent Gallot ◽  
Philippe Mathieu ◽  
Éric Pilon ◽  
Frank Thuillier
Keyword(s):  
Simons Theory ◽  
3 Dimensional ◽  
Linking Number ◽  
Gauge Fixing ◽  
Covariant Gauge ◽  
Chern Simons ◽  
Chern Simons Theory

In this paper we investigate an interpolating gauge-fixing procedure in (4l + 3)-dimensional Abelian Chern–Simons theory. We show that this interpolating gauge is related to the covariant gauge in a constant anisotropic metric. We compute the corresponding propagators involved in various expressions of the linking number in various gauges. We comment on the geometric interpretations of these expressions, clarifying how to pass from one interpretation to another.

TOPOLOGICAL HIGGS MECHANISM WITH ORDINARY HIGGS MECHANISM

1991 ◽  
Vol 06 (04) ◽  
pp. 295-302 ◽  
Author(s):  
ICHIRO ODA ◽  
SHIGEAKI YAHIKOZAWA
Keyword(s):  
Higher Dimensions ◽  
Higgs Mechanism ◽  
Simons Theory ◽  
Higgs Potential ◽  
Mass Generation ◽  
3 Dimensional ◽  
Chern Simons ◽  
Topological Mass ◽  
Chern Simons Theory ◽  
Topological Term

Topological Higgs mechanism in higher dimensions is analyzed when ordinary Higgs potential exists. It is shown that if 1-form B field becomes massive by the ordinary Higgs mechanism, another D-2 form C field also becomes massive through topological term in addition to the topological mass generation by the topological Higgs mechanism. Moreover, we investigate this mechanism in 3-dimensional theories, that is to say, Chern-Simons theory and more general theory.

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