Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix

被引：80

作者：

Morozov, Alexei ^{[1
]}

Smirnov, Andrey ^{[1
]}

机构：

[1] ITEP, Moscow, Russia

来源：

NUCLEAR PHYSICS B | 2010年 / 835卷 / 03期

关键词：

Chern-Simons theory; Quantum groups; Knot invariants; Q-HYPERGEOMETRIC FUNCTIONS; YANG-BAXTER EQUATION; PERTURBATION-THEORY; VASSILIEV INVARIANTS; LINK POLYNOMIALS; FREE FIELDS; 3-MANIFOLDS; ALGEBRAS; DILOGARITHM; MODEL;

D O I：

10.1016/j.nuclphysb.2010.03.012

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In temporal gauge A(0) = 0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators of Wilson lines (knot invariants), where only the crossing points of the contours projection on the xy plane contribute. Though the theory is quadratic, P-exponents remain non-trivial operators and R-factors are easier to guess then derive. We show that the topological invariants arise if additional flag structure R-3 superset of R-2 superset of R-1 (xy plane and a y line in it) is introduced. R is the universal quantum R-matrix and turning points contribute the "enhancement" factors q(p). (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：284 / 313

页数：30

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[21] WESS-ZUMINO-WITTEN MODEL AS A THEORY OF FREE FIELDS [J].