Topological $T$-duality for twisted tori
DOI10.3842/SIGMA.2021.012zbMath1475.46055arXiv2006.10048MaRDI QIDQ2023439
Paolo Aschieri, Richard J. Szabo
Publication date: 3 May 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.10048
\(C^*\)-algebra bundles of noncommutative toriMostow fibration of almost abelian solvmanifoldsnoncommutative \(C^*\)-algebraic $T$-dualitynongeometric backgrounds
Module categories in associative algebras (16D90) Noncommutative dynamical systems (46L55) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
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- On low-dimensional solvmanifolds
- Topological T-duality and T-folds
- Effective descriptions of branes on non-geometric tori
- T-duality with \(H\)-flux: non-commutativity, T-folds and \(G\times G\) structure
- D-branes, RR-fields and duality on noncommutative manifolds
- Non-commutative correspondences, duality and D-branes in bivariant K-theory
- The structure of imprimitivity algebras
- Connes' analogue of the Thom Isomorphism for the Kasparov groups
- C*-algebras associated with irrational rotations
- Strong Morita equivalence of certain transformation group \(C^*\)-algebras
- Curvatures of left invariant metrics on Lie groups
- Duality symmetries and noncommutative geometry of string spacetimes
- Integer matrix diagonalization
- Massive IIA string theory and Matrix theory compactification
- Morita equivalence and duality.
- Dualities of the Matrix model from \(T\)-duality of the type II string
- D-branes, \(T\)-duality, and index theory
- String theory and noncommutative geometry
- Morita equivalence and \(T\)-duality (or \(B\) versus \(\Theta\)).
- New supersymmetric vacua on solvmanifolds
- \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology
- Induced representations of C\(^*\)-algebras
- \(T\)-duality: topology change from \(H\)-flux
- String geometry and the noncommutative torus
- Higher geometry for non-geometric T-duals
- Noncommutative gauge theories on D-branes in non-geometric backgrounds
- \(T\)-duality for torus bundles with H-fluxed via noncommutative topology. II: The high dimensional case and the \(T\)-duality group
- Factor spaces of solvable groups
- PARAMETRIZED STRICT DEFORMATION QUANTIZATION OF C*-BUNDLES AND HILBERT C*-MODULES
- Noncommutative principal torus bundles via parametrised strict deformation quantization
- Flux compactifications of string theory on twisted tori
- The Cancellation Theorem for Projective Modules Over Irrational Rotation C*-Algebras
- Crossed Products of Continuous-Trace C ∗ -Algebras by Smooth Actions
- THE TOPOLOGY OF T-DUALITY FOR Tn-BUNDLES
- MORITA EQUIVALENCE OF MULTIDIMENSIONAL NONCOMMUTATIVE TORI
- Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
- Principal non-commutative torus bundles
- ON THE TOPOLOGY OF T-DUALITY
- Symplectic manifolds with no Kähler structure
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