On mysteriously missing T-duals, H-flux and the T-duality group

Abstract

A general formula for the topology and H-flux of the T-duals of type II string theories with H-flux on toroidal compactifications is presented here. It is known that toroidal compactifications with H-flux do not necessarily have T-duals which are themselves toroidal compactifications. A big puzzle has been to explain these mysterious ``missing T-duals'', and our paper presents a solution to this problem using noncommutative topology. We also analyze the T-duality group and its action, and illustrate these concepts with examples.

4 pages, latex2e, Mistake in formula corrected, ref. added

Cited by in corpus (29)

• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Nonassociative tori and applications to T-duality
• The GL(1|1) WZW model: From Supergeometry to Logarithmic CFT
• D-branes in Nongeometric Backgrounds
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• Non-geometric Backgrounds and the First Order String Sigma Model
• The topology of T-duality for T^n-bundles
• NS-NS fluxes in Hitchin's generalized geometry
• Heterotic-type IIA duality with fluxes
• T-duality, Gerbes and Loop Spaces
• T-duality revisited
• On T-duality transformations for the three-sphere
• T-duality simplifies bulk-boundary correspondence: some higher dimensional cases
• N=1 domain wall solutions of massive type II supergravity as generalized geometries
• Spherical T-Duality
• Towards a world-sheet description of doubled geometry in string theory
• T-duality of current algebras and their quantization
• C*-algebras in tensor categories
• Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality
• Higher geometry for non-geometric T-duals
• Open-string T-duality and applications to non-geometric backgrounds
• Homology and K--Theory Methods for Classes of Branes Wrapping Nontrivial Cycles
• Algebraic K-theory, K-regularity, and T-duality of ${\mathcal{O}}_{\infty }$-stable $C^{\ast }$-algebras
• Open-String Non-Associativity in an R-flux Background
• T-duality and the exotic chiral de Rham complex
• Eight-dimensional non-geometric heterotic strings and enhanced gauge groups
• Towards a T-dual Emergent Gravity