Coset symmetries in dimensionally reduced bosonic string theory

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Abstract

We discuss the dimensional reduction of various effective actions, particularly that of the closed bosonic string and pure gravity, to two and three dimensions. The result for the closed bosonic string leads to coset symmetries which are in agreement with those recently predicted and argued to be present in a new unreduced formulation of this theory. We also show that part of the Geroch group appears in the unreduced duality symmetric formulation of gravity recently proposed. We conjecture that this formulation can be extended to a non-linear realisation based on a Kac-Moody algebra which we identify. We also briefly discuss the proposed action of bosonic M-theory. (C) 2001 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)117 - 132
Number of pages16
JournalNuclear Physics, Section B
Volume615
Issue number1-3
DOIs
Publication statusPublished - 12 Nov 2001

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