Antisymmetric-tensor gauge theory and polynomial invariants of links

B. Broda

doi:10.1007/bf01589656

THE HOMFLY POLYNOMIAL FOR TORUS LINKS FROM CHERN–SIMONS GAUGE THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x95000516 ◽

1995 ◽

Vol 10 (07) ◽

pp. 1045-1089 ◽

Cited By ~ 8

Author(s):

J. M. F. LABASTIDA ◽

M. MARIÑO

Keyword(s):

Gauge Theory ◽

Gauge Group ◽

Homfly Polynomial ◽

Fundamental Representation ◽

Torus Knots ◽

Polynomial Invariants ◽

Chern Simons ◽

Knots And Links ◽

Torus Links

Polynomial invariants corresponding to the fundamental representation of the gauge group SU(N) are computed for arbitrary torus knots and links in the framework of Chern–Simons gauge theory making use of knot operators. As a result, a formula for the HOMFLY polynomial for arbitrary torus links is presented.

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Lagrangian and Hamiltonian BRST structures of the antisymmetric tensor gauge theory

Physical Review D ◽

10.1103/physrevd.38.1169 ◽

1988 ◽

Vol 38 (4) ◽

pp. 1169-1175 ◽

Cited By ~ 13

Author(s):

C. Batlle ◽

J. Gomis

Keyword(s):

Gauge Theory ◽

Antisymmetric Tensor

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A SUPERSPACE FORMULATION OF ABELIAN ANTISYMMETRIC TENSOR GAUGE THEORY

Modern Physics Letters A ◽

10.1142/s0217732300000979 ◽

2000 ◽

Vol 15 (15) ◽

pp. 965-978 ◽

Cited By ~ 7

Author(s):

SHINICHI DEGUCHI ◽

BHABANI PRASAD MANDAL

Keyword(s):

Gauge Theory ◽

Tensor Field ◽

Ad Hoc ◽

Compact Form ◽

Antisymmetric Tensor ◽

Lagrange Equations ◽

Generating Functional ◽

Transformation Rules ◽

Antisymmetric Tensor Field ◽

Rank 2

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields and their associated supersources. It is shown that BRS transformation rules of fields are realized as Euler–Lagrange equations without assuming the so-called horizontality condition in an ad hoc manner and that a generating functional [Formula: see text] constructed in the superspace reduces to that of the ordinary gauge theory of Abelian rank-2 antisymmetric tensor field. The WT identity for this theory is derived by making use of the superspace formulation and is expressed in a neat and compact form [Formula: see text].

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GAUGE INVARIANCES IN THE PROCA MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x98000330 ◽

1998 ◽

Vol 13 (05) ◽

pp. 765-778 ◽

Cited By ~ 17

Author(s):

A. S. VYTHEESWARAN

Keyword(s):

Gauge Theory ◽

Phase Space ◽

Projection Operator ◽

Tensor Field ◽

Gauge Theories ◽

Lorentz Invariance ◽

Maxwell Field ◽

Antisymmetric Tensor ◽

Antisymmetric Tensor Field

We show that the Abelian Proca model, which is gauge noninvariant with second class constraints can be converted into gauge theories with first class constraints. The method used, which we call gauge unfixing, employs a projection operator defined in the original phase space. This operator can be constructed in more than one way and so we get more than one gauge theory. Two such gauge theories are the Stückelberg theory and the theory of Maxwell field interacting with an antisymmetric tensor field. We also show that the application of the projection operator does not affect the Lorentz invariance of this model.

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SP(2)–BRST quantization of the antisymmetric tensor gauge theory

Canadian Journal of Physics ◽

10.1139/p90-070 ◽

1990 ◽

Vol 68 (4-5) ◽

pp. 454-455

Author(s):

Won-Sang Chung ◽

Minho Chung ◽

Jae-Kwan Kim

Keyword(s):

Gauge Theory ◽

Irreducible Representation ◽

Brst Quantization ◽

Antisymmetric Tensor ◽

Invariant Action ◽

General Method

A general method is given for the construction of gauge-fixed BRS and anti-BRS invariant action for the antisymmetric tensor gauge theory. The method is based on the single requirement that the space of fields carries an irreducible representation of the SP(2)–BRST algebra.

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ABELIAN GAUGE THEORY IN TOPOLOGICALLY NON-TRIVIAL SPACE

Modern Physics Letters A ◽

10.1142/s0217732389002847 ◽

1989 ◽

Vol 04 (26) ◽

pp. 2539-2547 ◽

Cited By ~ 5

Author(s):

AKIO HOSOYA ◽

JIRO SODA

Keyword(s):

Gauge Theory ◽

Higher Dimensions ◽

Antisymmetric Tensor ◽

Wilson Loops ◽

Tensor Fields ◽

Maxwell Theory ◽

Abelian Gauge ◽

Abelian Gauge Theory ◽

Global Modes

We quantize the (1+1)-dimensional Abelian gauge theory on cylinder to illustrate our idea how to extract global modes of topological origin. A new analysis is made for the (2+1)-dimensional Maxwell theory on T2(torus)×R(time). The dynamics is explicitly given for the Wilson loops around cycles of the torus with arbitrary moduli parameters. We also discuss an extension to antisymmetric tensor fields in higher dimensions.

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