New BPS Wilson loops in N=4 $$ mathcal{N}=4 $$ circular quiver Chern-Simons-matter theories

New BPS Wilson loops in N=4 $$ mathcal{N}=4 $$ circular quiver Chern-Simons-matter theories

Blog Article

Abstract We construct new families of 1/4 BPS Wilson loops in circular quiver N=4 $$ mathcal{N}=4 $$ superconformal Chern-Simons-matter (SCSM) theories in three dimensions.They are defined as the holonomy of superconnections that contain non-trivial couplings to scalar and fermions, and cannot be reduced to block-diagonal matrices.Consequently, the new operators cannot be written in terms of double-node 3m speedglas 9002nc Wilson loops, as the ones considered so far in the literature.For particular values of the couplings the superconnection becomes block-diagonal and we recover the known fermionic 1/4 and 1/2 BPS campicon.com Wilson loops.

The new operators are cohomologically equivalent to bosonic 1/4 BPS Wilson loops and are then amenable of exact evaluation via localization techniques.Moreover, in the case of orbifold ABJM theory we identify the corresponding gravity duals for some of the 1/4 and 1/2 BPS Wilson loops.