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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 1, Pages 33–46
DOI: https://doi.org/10.4213/tmf9598 (Mi tmf9598) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Note on Schramm–Loewner evolution for superconformal algebras

S. Koshida

Department of Basic Science, University of Tokyo, Tokyo, Japan
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DOI: https://doi.org/10.4213/tmf9598
Abstract: Using the group-theoretical formulation of Schramm–Loewner evolution (SLE), we propose variants of SLE related to superconformal algebras. The corresponding stochastic differential equation is derived from a random process on an infinite-dimensional Lie group. We consider random processes on a certain kind of groups of superconformal transformations generated by exponentiated elements of the Grassmann envelop of the superconformal algebras. We present a method for obtaining local martingales from a representation of the superconformal algebra after integration over the Grassmann variables.
Keywords: Schramm–Loewner evolution, conformal field theory, superconformal algebra.
Funding agency Grant number
Japan Society for the Promotion of Science 17J09658
This research was supported by a Grant-in-Aid for JSPS Fellows (Grant No. 17J09658).
Received: 25.06.2018
Revised: 25.06.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 1, Pages 501–512
DOI: https://doi.org/10.1134/S0040577919040020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Koshida, “Note on Schramm–Loewner evolution for superconformal algebras”, TMF, 199:1 (2019), 33–46; Theoret. and Math. Phys., 199:1 (2019), 501–512
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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