The Polyakov path integral over bordered surfaces. III: The BRST extended closed string off-shell amplitudes
type: Item
instance of: scholarly article
title: The Polyakov path integral over bordered surfaces. III: The BRST extended closed string off-shell amplitudes
zbMATH Open document ID: 0766.58012
DOI: 10.1007/BF02096591
author: Zbigniew Jaskólski
published in: Communications in Mathematical Physics
publication date: 1993-01-16T00:00:00Z
review text: This is a continuation of the previous papers by the author [ibid. 128, No. 2, 285-318 (1990; Zbl 0692.58053); II: ibid. 139, No. 2, 353-375 (1991; Zbl 0748.58040)]. In the previous papers the path integral representation of the off-shell bosonic string amplitudes was constructed in the case of zero ghost boundary conditions. Here the above geometric method is extended in order to derive the full dependence of the off- shell amplitudes on ghost variables. Then the method is applied to construct the BRST extended off-shell amplitudes in the constant curvature ghost. In particular the overlap path integral for these amplitudes is calculated. It leads to the nonlocal sewing procedure generating all off-shell amplitudes from the cubic interaction vertex. The general scheme of the reconstruction of a covariant closed string field theory from the off-shell amplitudes is discussed within the path integral framework.
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 58Z05
zbMATH DE Number: 95415
zbMATH Keywords: path integral
zbMATH Keywords: closed string
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
cites work: The Polyakov path integral over bordered surfaces (the open string amplitudes)
cites work: The Polyakov path integral over bordered surfaces. II: The closed string off-shell amplitudes
cites work: Q3794919
cites work: Q4207350
cites work: Sewing Polyakov amplitudes. I: Sewing at a fixed conformal structure
cites work: The integration of G-invariant functions and the geometry of the Faddeev- Popov procedure
cites work: Q4130629
cites work: INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
cites work: Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
cites work: Dirac operators coupled to vector potentials
cites work: Supersymmetric path integrals
cites work: Geometry of supersymmetric gauge theories. Including an introduction to BRS differential algebras and anomalies
cites work: A triangulation of moduli space from light-cone string theory
cites work: The Fenchel-Nielsen deformation
full work available at URL: https://doi.org/10.1007/bf02096591
OpenAlex ID: W2050474747
description: scientific article; zbMATH DE number 95415