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 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 CHERN–SIMONS THEORY AND THE QUANTUM RACAH FORMULA

2013 ◽  
Vol 25 (03) ◽  
pp. 1350004 ◽  
Author(s):  
SEBASTIAN DE HARO ◽  
ATLE HAHN
Keyword(s):  
Path Integral ◽  
Special Class ◽  
Wilson Loop ◽  
Knot Theory ◽  
Analytic Approach ◽  
Simons Theory ◽  
Compact Structure ◽  
Simply Connected ◽  
Chern Simons ◽  
Chern Simons Theory

We generalize several results on Chern–Simons models on Σ × S1in the so-called "torus gauge" which were obtained in [A. Hahn, An analytic approach to Turaev's shadow invariant, J. Knot Theory Ramifications17(11) (2008) 1327–1385] (= arXiv:math-ph/0507040) to the case of general (simply-connected simple compact) structure groups and general link colorings. In particular, we give a non-perturbative evaluation of the Wilson loop observables corresponding to a special class of simple but non-trivial links and show that their values are given by Turaev's shadow invariant. As a byproduct, we obtain a heuristic path integral derivation of the quantum Racah formula.

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory
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