Video URL
https://pirsa.org/16030117Wilson punctured network defects in 2D q-deformed Yang-Mills theory
APA
Watanabe, N. (2016). Wilson punctured network defects in 2D q-deformed Yang-Mills theory. Perimeter Institute for Theoretical Physics. https://pirsa.org/16030117
MLA
Watanabe, Noriaki. Wilson punctured network defects in 2D q-deformed Yang-Mills theory. Perimeter Institute for Theoretical Physics, Mar. 04, 2016, https://pirsa.org/16030117
BibTex
@misc{ scivideos_PIRSA:16030117, doi = {10.48660/16030117}, url = {https://pirsa.org/16030117}, author = {Watanabe, Noriaki}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Wilson punctured network defects in 2D q-deformed Yang-Mills theory}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2016}, month = {mar}, note = {PIRSA:16030117 see, \url{https://scivideos.org/index.php/pirsa/16030117}} }
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 is 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 com-
putational 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.
This talk is based partly on arXiv:1504.00121 with Yuji Tachikawa (Phys.Univ.Tokyo) and much on a forthcoming paper in arXiv.