Alumnae and Alumni

Shigenori Nakatsuka
Position
Todai Postdoctoral Research Fellow (from 2021/04/01 to 2022/03/31) [JSPS Fellow]
Graduate Student (from 2020/01/08 to 2021/03/31)
Current Affiliation
Department of Mathematics and Statistical Sciences, University of Alberta
Overseas Research Fellowships

URL
https://apps.ualberta.ca/directory/person/shigenor
PHOTO

Last Update 2022/11/21

My mathematical research focuses on W-superalgebras, which provide a large family of vertex superalgebras, i.e., symmetries of 2-dimensional chiral conformal field theories. In particular, I am interested in their representation theory or relation to higher dimensional quantum field theories, and soliton theory or certain geometry appearing in the classical limit.

Recently, I obtained a duality of subregular W-algebra and principal W-superalgebra of A type originally conjectured by B. Feigin and A. Semikhatov in a joint work with T. Creutzig and N. Genra. Moreover, I upgraded this duality to a correspondence between their representation categories in a joint work also with R. Sato. Currently, I am trying to reinterpret and generalize these dualities in terms of geometry.


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