{ital U} duality and symplectic formulation of dilaton-axion gravity

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.1656· OSTI ID:286242

Galtsov, D V ^[1]; Kechkin, O V ^[2]

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1. International Centre for Theoretical Physics, Trieste 34100 (Italy)
2. Department of Theoretical Physics, Moscow State University, Moscow 119899 (Russia)

We study a bosonic four-dimensional effective action corresponding to the heterotic string compactified on a six-torus (dilaton-axion gravity with one vector field) on a curved space-time manifold possessing a timelike Killing vector field. Previously the existence of the SO(2,3){approximately}Sp(4,{ital R}) global symmetry ({ital U} duality) as well as the symmetric space property of the corresponding {sigma} model have been established following the Neugebauer-Kramer approach. Here we present an explicit form of the Sp(4,{ital R}) generators in terms of coset variables and construct a representation of the coset in terms of the physical target space coordinates. A complex symmetric 2{times}2 matrix {ital Z} ({open_quote}{open_quote}matrix dilaton-axion{close_quote}{close_quote}) is then introduced for which {ital U} duality takes the matrix-valued SL(2,{ital R}) form. In terms of this matrix the theory is further presented as a K{umlt a}hler {sigma} model. This leads to a more economic 2{times}2 formulation suggesting some new solution-generating techniques. A new solution (corresponding to constant Im{ital Z}) is obtained which describes the system of point massless magnetic monopoles endowed with axion charges. In such a system mutual magnetic repulsion is exactly balanced by axion attraction so that the resulting space-time is locally flat but possesses multiple Taub-NUT singularities. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286242
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
AXIONS
DUALITY
GLOBAL ANALYSIS
GRAVITATION
MAGNETIC MONOPOLES
MASSLESS PARTICLES
SIGMA MODEL
SINGULARITY
SO GROUPS
SP GROUPS
VECTOR FIELDS