Symbol, Surface operators and $S$-duality

ShengLiang Cui; Bao Shou

Symbol, Surface operators and $S$-duality

High Energy Physics - Theory 2017-08-25 v1

Authors: ShengLiang Cui , Bao Shou

Abstract

We study rigid surface operators in the $N=4$ supersymmetric Yang-Mills theories with gauge groups $SO(n)$ and $Sp(2n)$ . Using maps $X_S$ and $Y_S$ between these two theories, Wyllard made explicit proposals for how the $S$ -duality map should act on certain subclasses of surface operators. We study the maps $X_S$ and $Y_S$ further and simplify the construction of symbol invariant of rigid surface operators by a convenient trick. By consistency checks, we recover and extend the $S$ -duality maps proposed by Wyllard. We find new subclasses of rigid surface operators related by $S$ -duality. We try to explain the exceptions of $S$ -duality maps. We also discuss the extension of the techniques used in the $B_n/C_n$ theories to the $D_n$ theories.

Keywords

supersymmetric yang-mills theory supersymmetric gauge theory yang-mills theory

Cite

@article{arxiv.1708.07388,
  title  = {Symbol, Surface operators and $S$-duality},
  author = {ShengLiang Cui and Bao Shou},
  journal= {arXiv preprint arXiv:1708.07388},
  year   = {2017}
}

Comments

26 pages, 2 figures. arXiv admin note: text overlap with arXiv:0901.1833 by other authors

Symbol, Surface operators and $S$-duality

Abstract

Keywords

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