Symmetries of Heterotic String Effective Theory in Three and Two Dimensions
| dc.creator | Gal'tsov, D. V. | |
| dc.date | 1996-06-07 | |
| dc.date.accessioned | 2026-07-07T04:22:08Z | |
| dc.date.available | 2026-07-07T04:22:08Z | |
| dc.description | 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 $SO(2,3)/(SO(3)\times SO(2))$. 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9606042 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9606042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54602 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Symmetries of Heterotic String Effective Theory in Three and Two Dimensions | |
| dc.type | text |