Theory Seminar(Prof. Goro Ishiki )

CategoryTheory Seminar
Start2019/01/29(火)11:00
End2019/01/29(火)12:00
VenueKenkyu-Honkan 3F, Room 322
TitleDiffeomorphisms and Berezin-Toeplitz quantization for fuzzy spaces
SpeakerProf. Goro Ishiki ( University of Tsukuba )
Language英語/English
ContactNoburo Shiba/nshiba-AT-post.kek.jp
Website
Cafetelia利用予定なし/0

Abstract

In the matrix model formulations of string/M- theories, geometry of strings/branes is expressed in terms of configurations of matrices. We discuss how the diffeomorphism, which is one of the most important symmetry in the world volume theory of strings and branes, is realized in the configuration space of matrices. We show that the diffeomorphism for matrices can be defined by using the so-called Berezin-Toeplitz quantization. As an example, we consider the fuzzy S^2 and explicitly construct the matrix version of the holomorphic diffeomorphisms on the fuzzy S^2.

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