Dynamics of N = 4 supersymmetric field theories in 2 + 1 dimensions and their gravity dual

Abstract

Abstract: In this note we consider N = 4 SYM theories in 2 + 1 dimensions with gauge group U(N) × U(M) and k hypermultiplets charged under the U(N). When k > 2(N − M), the theory flows to a superconformal fixed point in the IR. Theories with k < 2(N − M), on the other hand, flows to strong coupling. We explore these theories from the perspective of gravity dual. We find that the gravity duals of theories with k