Geometry of superconformal field theories in two dimensions
type: Item
instance of: scholarly article
title: Geometry of superconformal field theories in two dimensions
zbMATH Open document ID: 0624.58002
DOI: 10.1007/BF01017011
author: M. A. Baranov
author: I. V. Frolov
author: Albert Schwarz
published in: Theoretical and Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: An infinitesimal superconformal transformation of a domain in a (1,1)- dimensional complex superspace with coordinates (z,\(\theta)\) is defined by \({\tilde \partial}z=u(z)-\epsilon (z)\theta\) and \(\delta \theta =\epsilon (z)+u'(z)\theta\), where u and \(\epsilon\) are even and odd analytic functions of z, respectively. Any manifold glued from (1,1)- dimensional superdomains with the help of superconformal mappings is called a superconformal manifold of dimension (1,1). The space of equivalence classes of such manifolds is studied and its connection with a fermionic string in the critical dimension is pointed out.
Mathematics Subject Classification ID: 58A50
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 32K99
Mathematics Subject Classification ID: 83E50
zbMATH DE Number: 4013565
zbMATH Keywords: supermanifolds and graded manifolds
zbMATH Keywords: particle physics
zbMATH Keywords: unified field theories
zbMATH Keywords: supergravity
zbMATH Keywords: infinitesimal superconformal transformation
zbMATH Keywords: fermionic string
reviewed by: Julian Ławrynowicz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01017011
OpenAlex ID: W2002768016
description: scientific article; zbMATH DE number 4013565