Wilson punctured network defects in 2D q-deformed Yang-Mills theory
arXiv:1603.02939 · doi:10.1007/JHEP12(2016)063
Abstract
In the context of class S theories and 4D/2D duality relations there, we discuss the skein relations of general topological defects on the 2D side which are expected to be counterparts of composite surface-line operators in 4D class S theory. Such defects are geometrically interpreted as networks in a three dimensional space. We also propose a conjectural computational procedure for such defects in two dimensional SU(N) topological q-deformed Yang-Mills theory by interpreting it as a statistical mechanical system associated with ideal triangulations.
v3:JHEP published version (more several corrections and modifications) : total 47 pages v2:several corrections and modifications, a few references added : total 46 pages, 14 figures
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