First-order deviation of superpolynomial in an arbitrary representation from the special polynomial |
| |
Authors: | A Morozov |
| |
Institution: | 1165. Moscow State University, Moscow, 119991, Russia 2165. Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia
|
| |
Abstract: | Like all other knot polynomials, the superpolynomials should be defined in arbitrary representation R of the gauge group in (refined) Chern-Simons theory. However, not a single example is yet known of a superpolynomial beyond symmetric or antisymmetric representations. Following the article Equations on knot polynomials and 3d/5d duality, we consider the expansion of the superpolynomial around the special polynomial in powers of q ? 1 and t ? 1 and suggest a simple formula for the first-order deviation, which is presumably valid for arbitrary representation. This formula can serve as a crucial lacking test of various formulas for non-trivial superpolynomials, which will appear in the literature in the near future. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|