Super-A-polynomials for twist knots

被引:47
作者
Nawata, Satoshi [1 ]
Ramadevi, P. [2 ]
Zodinmawia [2 ]
Sun, Xinyu [3 ]
机构
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] Indian Inst Technol, Dept Phys, Bombay 400076, Maharashtra, India
[3] Xavier Univ Louisiana, Dept Math, New Orleans, LA 70125 USA
关键词
Chern-Simons Theories; Topological Field Theories; Topological Strings; CHERN-SIMONS THEORY; 3-MANIFOLD INVARIANTS; FIELD-THEORY; JONES; HOMOLOGY; GRAVITY; FORMULA; VOLUME;
D O I
10.1007/JHEP11(2012)157
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
We conjecture formulae of the colored superpolynomials for a class of twist knots K-p where p denotes the number of full twists. The validity of the formulae is checked by applying differentials and taking special limits. Using the formulae, we compute both the classical and quantum super-A-polynomials for the twist knots with small values of p. The results support the categorified versions of the generalized volume conjecture and the quantum volume conjecture. Furthermore, we obtain the evidence that the Q-deformed A-polynomials can be identified with the augmentation polynomials of knot contact homology in the case of the twist knots.
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页数:39
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