Modular properties of surface operators in N $$ mathcal{N} $$ = 2 SU(2) SQCD

Modular properties of surface operators in N $$ mathcal{N} $$ = 2 SU(2) SQCD

Blog Article

Abstract We study half-BPS surface operators in N $$ mathcal{N} $$ = 2 supersymmetric QCD in four dimensions with gauge group SU(2) and four fundamental flavours.We compute the twisted chiral superpotential that describes the effective theory on the surface operator using Strip Warmers / Heaters equivariant localization as well as the Seiberg-Witten data.We then use the constraints imposed by S-duality to resum the instanton contributions to the twisted superpotential into elliptic functions and (quasi-) modular forms.The resummed results match what one would obtain from the description of surface operators as the insertion of a degenerate operator in a spherical VEG BROTH YEAST FREE conformal block in Liouville CFT.