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SUMMARY:Diffeomorphism for fuzzy spaces
DTSTART;VALUE=DATE-TIME:20181219T060000Z
DTEND;VALUE=DATE-TIME:20181219T090000Z
DTSTAMP;VALUE=DATE-TIME:20190718T142220Z
UID:indico-contribution-44@cern.ch
DESCRIPTION:Speakers: Dr. MATSUMOTO\, Takashi (University of Tsukuba)\nFuz
zy spaces are known as a typical example of noncommutative geometry and ex
pected to describe the fundamental structure of space-time. However\, the
mechanism to describe gravity in the framework of fuzzy spaces remains to
be completely elucidated. In order to understand the mechanism\, we focus
on the notion of diffeomorphisms\, which plays a key role in the classical
theory of gravity. In this talk\, we propose a formulation of the diffeom
orphisms for fuzzy spaces in terms of the Berezin-Toeplitz quantization ma
p\, which is introduced in the context of geometric quantization. We apply
this formulation to 2-sphere as an example and obtain new matrix configur
ations that are diffeomorphic to the standard fuzzy sphere given by the ge
nerators of SU(2) Lie algebra.\n\nhttps://conference-indico.kek.jp:443/ind
ico/event/48/session/13/contribution/44
LOCATION:Kenkyu-Honkan bldg. 1F Kobayashi Hall
URL:https://conference-indico.kek.jp:443/indico/event/48/session/13/contri
bution/44
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