PIRSA:16030117 Scientific Series Quantum Fields and Strings

DOI10.48660/16030117

Series: Quantum Fields and Strings

Watanabe, N. (2016). Wilson punctured network defects in 2D q-deformed Yang-Mills theory. Perimeter Institute. https://pirsa.org/16030117

Watanabe, Noriaki. Wilson punctured network defects in 2D q-deformed Yang-Mills theory. Perimeter Institute, Mar. 04, 2016, https://pirsa.org/16030117 

@misc{ pirsa_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},
  year = {2016},
  month = {mar},
  note = {PIRSA:16030117 see, \url{https://pirsa.org}}
}

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.

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