2003/10/31 by Marco Serone, M. Serone, Michele Trapletti +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Duality (order theory) #Geometry #Heterotic string theory #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Orbifold #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Riemann curvature tensor #String (physics) #String duality #String theory #Supersymmetry #T-duality #Theoretical physics #Torsion (gastropod) #Twist #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/01/012
published as JHEP 0401 (2004) 012 · 13 pages, no figures; v2: references added and rearranged, version to appear in JHEP
openalex publication_date 2004/01/09 · arxiv created 2004/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A precise correspondence between freely-acting orbifolds (Scherk-Schwarz compactifications) and string vacua with NSNS flux turned on is established using T-duality. We focus our attention to a certain non-compact Z2 heterotic freely-acting orbifold with N=2 supersymmetry (SUSY). The geometric properties of the T-dual background are studied. As expected, the space is non-Kahler with the most generic torsion compatible with SUSY. All equations of motion are satisfied, except the Bianchi identity for the NSNS field, that is satisfied only at leading order in derivatives, i.e. without the curvature term. We point out that this is due to unknown corrections to the standard heterotic T-duality rules.