On 1/2-BPS Wilson-'t Hooft loops

Abstract

We investigate the 1/2-BPS Wilson-'t Hooft loops in $\mathcal{N}=4$ Super-Yang-Mills theory. We use the bulk D-brane with both electric and magnetic charges to calculate the all genus contribution of the circular loops. The expectation value of Wilson-'t Hooft loops are in perfect agreement with the result through supersymmetric condition and duality transformation in the gauge theory.

20 pages, JHEP3 class;v2:Typos corrected,a misstatement corrected;v3:minor changes,full $SL(2,Z)$ duality completed