RT Journal Article
T1 Torus knot polynomials and susy Wilson loops
A1 Giasemidis, Georgios
A1 Tierz, Miguel
AB We give, using an explicit expression obtained in (Jones V, Ann Math 126:335, 1987), a basic hypergeometric representation of the HOMFLY polynomial of (n, m) torus knots, and present a number of equivalent expressions, all related by Heine’s transformations. Using this result, the (m,n)↔(n,m) symmetry and the leading polynomial at large N are explicit. We show the latter to be the Wilson loop of 2d Yang–Mills theory on the plane. In addition, after taking one winding to infinity, it becomes the Wilson loop in the zero instanton sector of the 2d Yang–Mills theory, which is known to give averages of Wilson loops in N = 4 SYM theory. We also give, using matrix models, an interpretation of the HOMFLY polynomial and the corresponding Jones–Rosso representation in terms of q-harmonic oscillators.
PB Kluwer Academic
SN 0377-9017
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33898
UL https://hdl.handle.net/20.500.14352/33898
LA eng
DS Docta Complutense
RD 7 may 2024