Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves
type: Item
instance of: scholarly article
title: Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves
zbMATH Open document ID: 0639.14015
DOI: 10.1007/BF01078480
publication date: 1986-01-01T00:00:00Z
review text: The observation in this note, that the critical dimensions 26 and 10 which occur in the theory of strings and superstrings can be observed from the results of \textit{D. Mumford} [Enseign. Math., II. Ser. 23, 39-110 (1977; Zbl 0363.14003)] on the moduli space of stable curves, has been of fundamental importance in the by now highly developed techniques in string theory. The author suggests also in this paper that the moduli space for \(g\to \infty\) should play a role for the Virasoro algebra analogous to that of the flag manifold for a simple Lie algebra.
Mathematics Subject Classification ID: 14H15
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 14H10
zbMATH DE Number: 4042065
zbMATH Keywords: superstrings
zbMATH Keywords: moduli space of stable curves
zbMATH Keywords: string theory
zbMATH Keywords: Virasoro algebra
author: Yuri I. Manin
reviewed by: Nigel Hitchin
MaRDI profile type: Publication
cites work: Superstring theory
cites work: Characterization of Jacobian varieties in terms of soliton equations
cites work: A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
cites work: D-modules on supermanifolds
full work available at URL: https://doi.org/10.1007/bf01078480
OpenAlex ID: W1973544149
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4042065