String Theory on Parallelizable PP-Waves

Abstract

The most general parallelizable pp-wave backgrounds which are non-dilatonic solutions in the NS-NS sector of type IIA and IIB string theories are considered. We demonstrate that parallelizable pp-wave backgrounds are necessarily homogeneous plane-waves, and that a large class of homogeneous plane-waves are parallelizable, stating the necessary conditions. Such plane-waves can be classified according to the number of preserved supersymmetries. In type IIA, these include backgrounds preserving 16, 18, 20, 22 and 24 supercharges, while in the IIB case they preserve 16, 20, 24 or 28 supercharges. An intriguing property of parallelizable pp-wave backgrounds is that the bosonic part of these solutions are invariant under T-duality, while the number of supercharges might change under T-duality. Due to their α' exactness, they provide interesting backgrounds for studying string theory. Quantization of string modes, their compactification and behaviour under T-duality are studied. In addition, we consider BPS $Dp$-branes, and show that these $Dp$-branes can be classified in terms of the locations of their world volumes with respect to the background $H$-field.

Latex file, no figures, 41 pages; v4: Typos corrected, References added. The version to appear in JHEP

References in corpus (6)

• Celestial Mechanics, Conformal Structures, and Gravitational Waves
• Homogeneous Plane Waves
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• Penrose limits of Lie Branes and a Nappi--Witten braneworld
• Superstrings and D-branes in A Plane Wave
• Superstrings on NSNS PP-Waves and Their CFT Duals

Cited by in corpus (26)

• All supersymmetric solutions of minimal supergravity in six dimensions
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Solvable models of strings in homogeneous plane wave backgrounds
• String interactions in gravitational wave backgrounds
• Classical and Quantum Strings in compactified pp-waves and Godel type Universes
• On Branes and Oriented B-fields
• Parallelisable Heterotic Backgrounds
• Dilatonic Parallelizable NS-NS Backgrounds
• Classification of IIB backgrounds with 28 supersymmetries
• Penrose limits and spin chains in the GJV/CS-SYM duality
• M-Theory with Framed Corners and Tertiary Index Invariants
• Supersymmetric backgrounds from $\lambda$-deformations
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• Boundary fermions and the plane wave
• Corners in M-theory
• Brane Solutions with/without Rotation in PP-wave Spacetime
• Supersymmetric solutions of type-II supergravity from $\lambda$-deformations and zoom-in limits
• Covariant Hamiltonian evolution in supersymmetric quantum systems
• Type IIB String Backgrounds on Parallelizable PP-Waves and Conformal Liouville Theory
• Branes in the plane wave background with gauge field condensates
• The exact description of NS5-branes in the Penrose limit
• IIB PP-Waves with Extra Supersymmetries
• String Propagators in Time-Dependent and Time-Independent Homogeneous Plane Waves
• Moving holographic boundaries
• Plane waves from double extended spacetimes
• Explicitly connecting T and Buscher dualities in String Theory