A Duality Appetizer
Daniel Jafferis, Xi Yin
TL;DR
This paper demonstrates a duality between a specific three-dimensional N=2 SU(2) Chern-Simons theory and a free chiral multiplet, confirmed through matching superconformal indices and partition functions.
Contribution
It establishes a new duality between a nontrivial gauge theory and a free field theory in three dimensions, verified by exact calculations.
Findings
Matching Z-functions for both theories
Identical superconformal indices
Duality confirmed through exact computations
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Noncommutative and Quantum Gravity Theories