Extended structures and new infinite-dimensional hidden symmetries for the Einstein-Maxwell-dilaton-axion theory with multiple vector fields
type: Item
instance of: scholarly article
title: Extended structures and new infinite-dimensional hidden symmetries for the Einstein-Maxwell-dilaton-axion theory with multiple vector fields
zbMATH Open document ID: 1070.83004
published in: General Relativity and Gravitation
publication date: 2005-04-08T00:00:00Z
review text: The symmetries of the dimensionally reduced Einstein-Maxwell-dilaton-axion (EMDA) theory with \(p\) vector fields are studied. It is found that using the so-called extended elliptical-complex (EEC) function method one can construct a matrix Ernst-like potential for each \(p\). Then the EMDA-\(p\) motion equations can be written as EEC self-dual relation. In particular, for the case \(p=2\), the author establishes two Hauser-Ernst-type EEC linear systems and gives some explicit formulations of infinite-dimensional hidden symmetry transformations for the considered theory. The infinite-dimensional Lie algebra structure of these infinitely many symmetries is calculated out and is found to constitute the semidirect product of the Kac-Moody algebra and the Virasoro algebra. These results show that the EMDA-\(p\) theories under consideration possess very rich symmetry structures.
reviewed by: Vladimir Dzhunushaliev
Mathematics Subject Classification ID: 83C22
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 2154328
zbMATH Keywords: Einstein-Maxwell-dilaton-axion gravity
zbMATH Keywords: extended elliptical-complex function method
zbMATH Keywords: infinite-dimensional hidden symmetry
author: Ya-Jun Gao
MaRDI profile type: Publication
full work available at URL: s10714-005-0001-7
OpenAlex ID: W1987259369
cites work: Strong-weak coupling duality in three-dimensional string theory
cites work: \(O(2,2)\) transformations and the string Geroch group.
cites work: Integrable Systems in Stringy Gravity
cites work: Duality symmetry group of two-dimensional heterotic string theory
cites work: Symmetries of heterotic string theory
cites work: Duality and integrability of two-dimensional string effective action
cites work: Virasoro algebra in the solution space of the Ernst equation
cites work: Extended double Riemann–Hilbert problem and multiple representations of the infinite-dimensional symmetric group for the stationary axisymmetric vacuum field equations
cites work: Double structures and multiple symmetry groups for the reduced 4-dimensional string background equations
Wikidata QID: Q125926134
DOI: 10.1007/S10714-005-0001-7
description: scientific article; zbMATH DE number 2154328