Integrability of the symmetry reduced bosonic dynamics and soliton generating transformations in the low energy heterotic string effective theory

Journal Article · Sat Aug 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.041901· OSTI ID:21322415

Alekseev, G A ^[1]

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1. Steklov Mathematical Institute of the Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow (Russian Federation)

Integrable structure of the symmetry reduced dynamics of massless bosonic sector of the heterotic string effective action is presented. For string background equations that govern in the space-time of D dimensions (D{>=}4), the dynamics of interacting gravitational, dilaton, antisymmetric tensor and any number n{>=}0 of Abelian vector gauge fields, all depending only on two coordinates, we construct an equivalent (2d+n)x(2d+n)-matrix spectral problem (d=D-2). This spectral problem provides the base for the development of various solution constructing procedures (dressing transformations, integral equation methods). For the case of the absence of Abelian gauge fields, we present the soliton generating transformations of any background with interacting gravitational, dilaton, and the second rank antisymmetric tensor fields.

• OSTI ID: 21322415
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
MANY-DIMENSIONAL CALCULATIONS
MASSLESS PARTICLES
MATHEMATICAL SOLUTIONS
SOLITONS
SPACE-TIME
STRING THEORY
SYMMETRY
TENSOR FIELDS
TRANSFORMATIONS