HET- seminar: Tudor Dimofte

Speaker:  Tudor Dimofte

Title: 3d Mirror Symmetry and Line Operators

Abstract: 3d mirror symmetry, discovered in the 90's, related pairs of 3d N=4 field theories. Most physical test of 3d mirror symmetry have involved comparisons of moduli spaces of vacua, or of supersymmetric indices or partition functions. I will discuss some higher/extended structures that may be accessed in topological twists of 3d N=4 theories, focusing in particular on BPS line operators (Wilson lines and vortex lines) and the spaces of BPS local operators (including monopole operators) at their junctions. The former can be classified, and the latter concretely computed. I will also mention the mathematical structure governing line operators, namely that of a braided tensor category.