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PRODID:-//talks.bham.ac.uk//v3//EN
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CATEGORIES:Algebra Seminar
SUMMARY:Module tensor categories and the Landau-Ginzburg/c
onformal field theory correspondence - Ana Ros Cam
acho (Cardiff University)
DTSTART:20221207T150000Z
DTEND:20221207T160000Z
UID:TALK4976AT
URL:/talk/index/4976
DESCRIPTION:The Landau-Ginzburg/conformal field theory corresp
ondence is a physics result from the late 80s and
early 90s predicting some relation between categor
ies of representations of vertex operator algebras
and categories of matrix factorizations. At prese
nt we lack an explicit mathematical statement for
this result\, yet we have examples available. The
only example of a tensor equivalence in this conte
xt was proved back in 2014 by Davydov-Runkel-RC\,
for representations of the *N*=2 unitary mi
nimal model with central charge 3(1-2/*d*)
(where *d*>2 is an integer) and matrix fact
orizations of the potential *x*^{d}
-*y*^{d}. This equivalence was prov
ed back in the day only for *d* odd\, and i
n this talk we explain how to generalize this resu
lt for any *d*\, realising these categories
as module tensor categories enriched over ℤ~~d~~~~-graded vector spaces. Joint work w
ith T. Wasserman (University of Oxford).
LOCATION:online via zoom
CONTACT:Matthew Westaway
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