Supersymmetric vortex loops in 3D gauge theories

Supersymmetric vortex loops in 3D gauge theories

Blog Article

Abstract We give a precise definition of Ultrasound - Ultrasound Probe Covers BPS vortex loops in 3D non-abelian gauge theories with N $$ mathcal{N} $$ = 2 SUSY by the path integral over fields with a prescribed singular behavior.We compute the expectation value of a BPS vortex loop on an ellipsoid.Using the result we revisit the known equivalence between Wilson and vortex loops in pure Chern-Simons theory.Naive computations of expectation values in N $$ mathcal{N} $$ = 2 theory leads to an unwanted shift of parameters in the rule of correspondence.We resolve the problem by relating the shift to pumping-accessories the global anomaly of N $$ mathcal{N} $$ = 2 SUSY quantum mechanics.

For theories with U(N) gauge group we also develop an alternative description of vortex loops in terms of 1D N $$ mathcal{N} $$ = 2 SUSY quantum mechanics on their worldline.For vortex loops in N $$ mathcal{N} $$ = 4 theories, our construction reproduces some of the quiver GLSMs of Assel and Gomis.