セミナー 2019年

seminar2019

Diffeomorphisms and Berezin-Toeplitz quantization for fuzzy spaces

  • SPEAKER Goro Ishiki, University of Tsukuba
  • PLACE Seminar room, Kenkyu honkan 3F
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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