Deconstructing S-Duality
Kyle Aitken, Andreas Karch, Brandon Robinson
TL;DR
This paper explores how dualities in lower-dimensional theories can be lifted to higher dimensions using deconstruction, demonstrating the derivation of S-duality from mirror symmetry and studying non-supersymmetric dualities.
Contribution
It introduces a method to derive 3+1 dimensional dualities from 2+1 dimensional dualities through deconstruction, including both supersymmetric and non-supersymmetric cases.
Findings
Derived S-duality of 3+1 electromagnetism from 2+1 mirror symmetry.
Analyzed deconstruction of non-supersymmetric duality via Abelian bosonization.
Showed the versatility of deconstruction in connecting dualities across dimensions.
Abstract
We use the technique of deconstruction to lift dualities from 2+1 to 3+1 dimensions. In this work we demonstrate the basic idea by deriving S-duality of maximally supersymmetric electromagnetism in 3+1 dimensions from mirror symmetry in 2+1. We also study the deconstruction of a non-supersymmetric duality in 3+1 dimensions using Abelian bosonization in 2+1 dimensions.
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