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DTSTART:20070311T020000
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DTSTAMP:20230905T175921
DTSTART;TZID=America/Detroit:20230929T160000
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SUMMARY:Workshop / Seminar:GEOMETRY: Hidden Sp(1)-symmetry and brane quantization on hyperKähler manifolds
DESCRIPTION:In a joint work with Conan Leung\, we found a natural but hidden Sp(1)-action on the space of L-valued forms on a hyperKähler manifold X intertwining a twistor family of Spinc-Dirac Laplacians of the space of L-valued (0\, *)-forms for a fixed prequantum line bundle L over X\, noting that L is holomorphic with respect to only one complex structure in the twistor family. In this talk\, I will explain how this result establishes a geometric quantization of X via Gukov-Witten brane quantization and leads to a proposal of a mathematical definition of the morphism space between the canonical coisotropic A-brane on X and its conjugate brane.
UID:111507-21827198@events.umich.edu
URL:https://events.umich.edu/event/111507
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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