Superstrings with intrinsic torsion
- 12 April 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 69 (8), 086002
- https://doi.org/10.1103/physrevd.69.086002
Abstract
We analyze the necessary and sufficient conditions for the preservation of supersymmetry for bosonic geometries of the form in the common Neveu-Schwarz–Neveu-Schwarz (NS-NS) sector of type II string theory and also type I or heterotic string theory. The results are phrased in terms of the intrinsic torsion of G structures and provide a comprehensive classification of static supersymmetric backgrounds in these theories. Generalized calibrations naturally appear since the geometries can always arise as solutions describing NS or type I or heterotic fivebranes wrapping calibrated cycles. Some new solutions are presented. In particular we find examples with a fibered structure which preserve supersymmetry in type II and include compact type I or heterotic geometries.
Keywords
Other Versions
This publication has 47 references indexed in Scilit:
- Killing spinor equations in dimension 7 and geometry of integrable G2-manifoldsJournal of Geometry and Physics, 2003
- All supersymmetric solutions of minimal supergravity in five dimensionsClassical and Quantum Gravity, 2003
- The geometry ofD= 11 Killing spinorsJournal of High Energy Physics, 2003
- Mirror symmetry in generalized Calabi–Yau compactificationsNuclear Physics B, 2003
- Parallel spinors and connections with skew-symmetric torsion in string theoryAsian Journal of Mathematics, 2002
- Fivebranes wrapped on SLAG three-cycles and related geometryJournal of High Energy Physics, 2001
- Constraints on low-dimensional string compactificationsNuclear Physics B, 1996
- Residual supersymmetry of compactified d = 10 supergravityNuclear Physics B, 1987
- Compactifications of the heterotic superstringPhysics Letters B, 1986
- Superstrings with torsionNuclear Physics B, 1986