ABCD of 3d \cal N=8 and 4 Superconformal Field Theories

2011/08/18 by Dongmin Gang, Gang, Dongmin, Eunkyung Koh +5 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Cosmology and Gravitation Theories

paper · pdf · doi:10.48550/arxiv.1108.3647

Abstract

We argue the equivalence between the infrared conformal field theory of the 3d N=8 supersymmetric Yang-Mills theories of ABCD (U(N), SO(2N+1), Sp(2N), O(2N)) gauge groups and the ABJ(M) theories of U(N)_k× U( N)_-k for k=1,2. We support this duality by comparing the superconformal index of the IR limit of these super Yang-Mills theories and that of those ABJ(M) models. Especially we find the match between two indices of (mirror dual of) the N=8 U(N) SYM and of U(N)₁× U(N)_-1 ABJM model. Also we take large N limit of ABCD super Yang-Mills theories with additional fundamental hyper-multiplets and infer the large N limit of N=8 ABCD theories themselves, finding the expected gravitational duals. With the additional input on finite N, we argue the equivalence of Yang-Mills and ABJ(M) theories for all N. We further explore similar dualities to Chern-Simons matter theories for N=4 Yang-Mills theories related by mirror symmetry.

Cited by

• Factorization of the 3d superconformal index
• Lectures on 4d N=1 dynamics and related topics
• Quantum vortices, M2-branes and black holes

Related

• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• Exact Correlators of BPS Operators from the 3d Superconformal Bootstrap
• The Large N Limit of Superconformal Field Theories and Supergravity
• 3d Chern--Simons matter theories from generalized Argyres--Douglas theories
• Superconformal indices of N=4 Chern-Simons matter theories