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A Duality Appetizer

Daniel Jafferis, Xi Yin

Abstract

We propose that the three-dimensional N=2 SU(2) Chern-Simons theory at level 1 coupled to an adjoint chiral multiplet with no superpotential is equivalent to the free field theory consisting of a single massless N=2 chiral multiplet. In particular, we show that the two theories have the identical "Z-function" and identical superconformal index.

A Duality Appetizer

Abstract

We propose that the three-dimensional N=2 SU(2) Chern-Simons theory at level 1 coupled to an adjoint chiral multiplet with no superpotential is equivalent to the free field theory consisting of a single massless N=2 chiral multiplet. In particular, we show that the two theories have the identical "Z-function" and identical superconformal index.

Paper Structure

This paper contains 11 equations.