Hori-mological projective duality
J{\o}rgen Vold Rennemo, Ed Segal

TL;DR
This paper proves part of Kuznetsov's conjecture on non-commutative resolutions of Pfaffian varieties by establishing a duality in non-abelian gauged linear sigma models, advancing understanding of homological projective duality.
Contribution
It confirms half of Kuznetsov's conjecture by connecting non-commutative resolutions with Hori's duality in gauged linear sigma models.
Findings
Proves a duality of non-abelian gauged linear sigma models.
Supports Kuznetsov's conjecture on Pfaffian varieties.
Advances the theory of homological projective duality.
Abstract
Kuznetsov has conjectured that Pfaffian varieties should admit non-commutative crepant resolutions which satisfy his Homological Projective Duality. We prove half the cases of this conjecture, by interpreting and proving a duality of non-abelian gauged linear sigma models proposed by Hori.
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