Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N

Details Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N

2010-11-02

arxiv.org/abs/1011.0638v3

Lett.Math.Phys.98:97-110,2011

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures; misprint corrected. Version published in Lett Math Phys (Online publication, 18 March 2011)

Scientific paper

10.1007/s11005-011-0480-2

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.

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