1997/01/31 by Enrique Alvarez, E. Alvarez, Javier Borlaf +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Point (geometry) #Quantization (signal processing) #Quantum #Quantum algorithm #Quantum operation #Quantum process #Quantum state #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)00332-8
published in Physics Letters B 400(1-2), 97-100 (Elsevier BV) · 7 pages, LaTeX. Final version, to appear in Phys. Lett.B. (some typos corrected)
arxiv created 1997/03/21 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is a well known fact that the classical (``Buscher'') transformations of T-duality do receive, in general, quantum corrections. It is interesting to check whether classical T-duality can be exact as a quantum symmetry. The natural starting point is a σ-model with N=4 world sheet supersymmetry. Remarkably, we find that (owing to the fact that N=4 models with torsion are not off-shell finite as quantum theories),the T-duality transformations for these models get in general quantum corrections, with the only known exception of warped products of flat submanifolds or orbifolds thereof with other geometries.