Flux backgrounds from Twists

Abstract

It is well known that a constant O(n,n,Z) transformation can relate different string backgrounds with n commuting isometries that have very different geometric and topological properties. Here we construct discrete families of (flux) backgrounds on internal manifolds of different topologies by performing certain coordinate dependent O(d,d) transformations, where d is the dimension of the internal manifold. Our two principal examples include respectively the family of type IIB compactifications with D5 branes and O5 planes on six-dimensional nilmanifolds, and the heterotic torsional backgrounds.

32 pages; Clarifications added; version to appear in JHEP

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Cited by in corpus (23)

• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Lectures on Generalized Complex Geometry for Physicists
• Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
• Systematics of consistent truncations from generalised geometry
• The Intriguing Structure of Non-geometric Frames in String Theory
• Linear Sigma Models with Torsion
• Heterotic string from a higher dimensional perspective
• Heterotic fluxes and supersymmetry
• Novel Branches of (0,2) Theories
• Dirac structures on nilmanifolds and coexistence of fluxes
• New families of interpolating type IIB backgrounds
• On Lie-algebraic solutions of the type IIB matrix model
• Heterotic Sigma Models with N=2 Space-Time Supersymmetry
• T-Duality in Gauged Linear Sigma-Models with Torsion
• O(d,d)-Duality in String Theory
• Integrable Hopf twists, marginal deformations and generalised geometry
• Gauged Supergravities and the Physics of Extra Dimensions
• Heterotic Flux Attractors
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• $T^4$ fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory
• Heterotic Flux Geometry from Chiral Gauge Dynamics
• Gaugings and other aspects in supergravity