1996/06/07 by D. V. Gal'tsov, D. V. Gal'Tsov, Gal'tsov, D. V.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum, superfluid, helium dynamics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9606042
Extended talk at the International Workshop ``Heat Kernel Techniques and Quantum Gravity'', Winnipeg, Canada, 2---6 August, 1994), published in ``Heat Kernel Techniques and Quantum Gravity'', ed. by S. A. Fulling, Discourses in Mathematics and Its Applications, No. 4, Texas A\&M Univ., College Station, Texas, 1995, pp. 423--449
arxiv created 1996/06/07 · openalex publication_date 1996/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The four-dimensional bosonic effective action of the toroidally compactified heterotic string incorporating a dilaton, an axion and one U(1) vector field is studied on curved space-time manifolds with one and two commuting Killing vectors. In the first case the theory is reduced to a three-dimensional sigma model possessing a symmetric pseudoriemannian target space isomorphic to the coset SO(2,3)/(SO(3)× SO(2)). The ten-parameter group SO(2,3) of target space isometries contains embedded both S and T classical duality symmetries of the heterotic string. With one more ignorable coordinate, the theory reduces to a two-dimensional chiral model built on the above coset, and therefore belongs to the class of completely integrable systems. This entails infinite-dimensional symmetries of the Geroch--Kinnersley--Chitre type. Purely dilatonic theory is shown to be two-dimensionally integrable only for two particular values of the dilaton coupling constant. In the static case (diagonal metrics) both theories essentially coincide; in this case the integrability property holds for all values of the dilaton coupling.