Duality beyond the first loop
- Department of Physics, University of Waterloo, Waterloo, Ontario, N2L 3G1 (CANADA)
- CERN, 1211 Geneva 23 (Switzerland)
In this article we give a calculation of the two-loop {sigma}-model corrections to the T-duality map in string theory. We use the effective action approach, and analyze two-loop corrections in a specific subtraction scheme. Focusing on backgrounds which have a single Abelian isometry, we find the explicit form for the O({alpha}{sup {prime}}) modifications of the lowest order duality transformations. Rather surprisingly, the manifest two-loop duality depends crucially on the torsion field. In contrast with the dilaton and metric fields, which are merely passive spectators, the torsion plays a more active role, because of the anomalous couplings to the gauge fields that arise via dimensional reduction. Our results support the interpretation of T duality as an expansion in the inverse string tension {alpha}{sup {prime}}, and its order-by-order realization as a manifest symmetry of the full string theory. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 554438
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Studies of the two-dimensional nonlinear sigma-model
S duality and exact type IIB superstring backgrounds