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SUMMARY:Combining local and extended operator algebras: 4d N = 2 vertex al
 gebras and semi-topological descent - Mitch Weaver (Cincinnati)
DTSTART:20220526T140000Z
DTEND:20220526T150000Z
UID:TALK173276@talks.cam.ac.uk
CONTACT:Chiung Hwang
DESCRIPTION:Algebras of supersymmetry-protected local and extended operato
 rs can pro- vide an analytic window onto the structure of supersymmetric q
 uantum field theories\, even when they are strongly interacting. For examp
 le\, 4d N = 2 SCFTs have a sub- sector of local operators in the cohomolog
 y of a particular nilpotent supercharge which maps to a 2d vertex operator
  algebra (VOA)\, and certain surface operators in these theories correspon
 d to non-vacuum modules of the VOA. In this talk\, I will present a constr
 uction of extended operators residing in the cohomology of the VOA superch
 arge using the idea of topological descent. In doing so\, I will show ther
 e exists a fascinating web of extended operators in every unitary 4d N = 2
  SCFT which extends the structure furnished by the VOA. To demonstrate the
  richness of this extended operator algebra and its relation to the VOA\, 
 I will describe this construction for the simple case of a free hypermulti
 plet.
LOCATION:Online (Zoom)
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