期刊
NUCLEAR PHYSICS B
卷 835, 期 3, 页码 284-313出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2010.03.012
关键词
Chern-Simons theory; Quantum groups; Knot invariants
资金
- Russian Federal Nuclear Energy Agency
- Russian Federal Agency for Science and Innovations [02.740.5029]
- RFBR [09-02-00393-a, 07-02-00645, 09-01-93106, 09-02-93105-CNRSL, 09-01-92440-CE, 09-01-92437-CEa, 09-02-91005-AFN, 09-02-90493-Ukr]
- CNRS [09-01-93106, 09-02-93105-CNRSL, 09-01-92440-CE, 09-01-92437-CEa, 09-02-91005-AFN, 09-02-90493-Ukr]
- Russian President [NSh-3035.2008.2, NSh-3036.2008.2]
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.
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