Twisted self-duality of dimensionally reduced gravity and vertex operators

DOI10.1016/S0550-3213(99)00093-0zbMath0944.83011arXivhep-th/9712254OpenAlexW2095634581WikidataQ121606677 ScholiaQ121606677MaRDI QIDQ1572085

N. Delaunay

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9712254

zbMATH Keywords

Einstein's equationsLax pairGeroch groupKac-Moody group

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items

Inverse scattering and the Geroch group, $E_9$ exceptional field theory. I: The potential, Dualisation of the general scalar coset in supergravity theories, Gauging hidden symmetries in two dimensions, Selfduality of \(d=2\) reduction of gravity coupled to a \(\sigma \)-model, An algebraic bootstrap for dimensionally reduced quantum gravity, Integrability and canonical structure of \(d=2\), \(N=16\) supergravity., Duality and moduli spaces for time-like reductions., Dualisation of dualities. II: Twisted self-duality of doubled fields and superdualities.

Cites Work

• Unnamed Item
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• Dressing symmetries
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Conformal internal symmetry of 2d \(\sigma \)-models coupled to gravity and a dilaton
• The Geroch group and non-Hausdorff twistor spaces
• AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND BÄCKLUND TRANSFORMATIONS
• A Method for Generating New Solutions of Einstein's Equation. II
• Dressing transformations and Poisson group actions