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SUMMARY:Aiden Suter: 3D Mirror Symmetry via Vertex Operator Algebras
DTSTART:20251118T093000Z
DTEND:20251118T103000Z
DTSTAMP:20260504T170900Z
UID:indico-event-15105@indico.math.cnrs.fr
DESCRIPTION:3D mirror symmetry is a duality between topological twists of 
 3-dimensional supersymmetric quantum field theories. One manifestation of 
 this duality is an isomorphism between branches of the moduli space of vac
 ua of mirror theories. These branches\, called the Higgs branch and Coulom
 b branch\, are hyperkahler manifolds and the duality between them was stud
 ied independently by mathematicians under the guise of "symplectic duality
 ". In this talk\, I will discuss work towards proving these isomorphisms u
 sing boundary vertex operator algebras (VOAs). These VOAs are defined on 2
 -dimensional boundary conditions of the twisted theories and it is conject
 ured that they contain the data of both the Higgs and Coulomb branches. Th
 is conjecture implies a number of duality properties for VOAs appearing in
  this manner. In particular\, I will discuss joint work with Andrea Ferrar
 i in which we prove the Higgs branch conjecture for 3D supers quantum elec
 trodynamics..\n\nhttps://indico.math.cnrs.fr/event/15105/
URL:https://indico.math.cnrs.fr/event/15105/
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