Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N
arXiv:1011.0638 · doi:10.1007/s11005-011-0480-2
Abstract
A relation between circular 1/2 BPS 't Hooft operators in 4d N=4 SYM and instantonic solutions in 2d Yang-Mills theory (YM_2) has recently been conjectured. Localization indeed predicts that those 't Hooft operators in a theory with gauge group G are captured by instanton contributions to the partition function of YM_2, belonging to representations of the dual group ^LG. This conjecture has been tested in the case G=U(N)=^LG and for fundamental representations. In this paper we examine this conjecture in the case of the groups G=SU(N) and ^LG=SU(N)/Z_N and loops in different representations. Peculiarities when groups are not self-dual and representations not "minimal" are pointed out.
17 pages, no figures; misprint corrected. Version published in Lett Math Phys (Online publication, 18 March 2011)
References in corpus (9)
- Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
- Supersymmetric Wilson loops on S^3
- Wilson loops: From four-dimensional SYM to two-dimensional YM
- Gauge Theory, Ramification, And The Geometric Langlands Program
- Bubbling Surface Operators And S-Duality
- Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
- Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
- Correlators of supersymmetric Wilson loops at weak and strong coupling
- The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills