Infinite-dimensional geometry and closed string-field theory
type: Item
instance of: scholarly article
title: Infinite-dimensional geometry and closed string-field theory
zbMATH Open document ID: 0728.53066
DOI: 10.1007/BF00400370
published in: Letters in Mathematical Physics
publication date: 1991-01-01T00:00:00Z
review text: The paper is a brief review of earlier work of \textit{A. A. Kirillov} and the author [J. Geom. Phys. 5, No.3, 351-363 (1988; Zbl 0698.17015)]. The closed string field configuration space is defined as the dual of the space of semi-infinite string differential forms. The latter are a generalization of the construction of \textit{T. Banks} and \textit{M. Peskin} [Nucl. Phys. B 264, 513-547 (1986)] in that they depend not only on the string coordinate functions but also on an entire function on the unit disk representing a complex structure of the space of functions from \(S^ 1\) to \(R^{26}\). Using the co-BRS operator involving the ``ghost'' vector fields dual to the string one-forms, an action for the free string field is defined. Physical implications are not discussed.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 58Z05
zbMATH DE Number: 4203237
zbMATH Keywords: closed string field configuration space
zbMATH Keywords: string differential forms
author: Denis S. Juriev
reviewed by: Helmut Rumpf
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4203237