\(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology
From MaRDI portal
Publication:1770248
DOI10.1007/s00220-004-1159-7zbMath1078.58006arXivhep-th/0401168OpenAlexW1588839287WikidataQ105426642 ScholiaQ105426642MaRDI QIDQ1770248
Varghese Mathai, Jonathan M. Rosenberg
Publication date: 14 April 2005
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0401168
Noncommutative topology (46L85) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Miscellaneous applications of (K)-theory (19M05) Noncommutative geometry (à la Connes) (58B34)
Related Items
T-duality revisited, Gauged supergravities, Differential K-Theory: A Survey, Lectures on Cohomology, T-Duality, and Generalized Geometry, Matrix theory origins of non-geometric fluxes, (Non-)commutative closed string on T-dual toroidal backgrounds, T-duality simplifies bulk-boundary correspondence, Generalised contact geometry as reduced generalised complex geometry, T-duality simplifies bulk-boundary correspondence: the noncommutative case, The topology of Double Field Theory, Twisting derived equivalences, Nonassociative tori and applications to \(T\)-duality, Deformation quantization of gerbes, On T-duality transformations for the three-sphere, The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT, T-duality with \(H\)-flux: non-commutativity, T-folds and \(G\times G\) structure, Extended Riemannian geometry. I: Local double field theory, Non-abelian T-folds, Crystallographic T-duality, Toroidal orientifolds in IIA with general NS-NS-fluxes, Geometric T-duality: Buscher rules in general topology, Higher nonunital Quillen \(K^{\prime}\)-theory, KK-dualities and applications to topological \(\mathbb T\)-dualities, Group dualities, T‐dualities, and twisted K‐theory, Effective descriptions of branes on non-geometric tori, Topological T-duality, automorphisms and classifying spaces, Non‐geometric fluxes in supergravity and double field theory, T-duality and the bulk-boundary correspondence, SOME C*-ALGEBRAS ASSOCIATED TO QUANTUM GAUGE THEORIES, PARAMETRIZED STRICT DEFORMATION QUANTIZATION OF C*-BUNDLES AND HILBERT C*-MODULES, Twisted crystallographic T-duality via the Baum–Connes isomorphism, Remarks on anomalous symmetries of \(C^*\)-algebras, T-DUALITY AND DIFFERENTIAL K-THEORY, Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles, Real Baum-Connes assembly and T-duality for torus orientifolds, Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I., Topological $T$-duality for twisted tori, Open-string T-duality and applications to non-geometric backgrounds, Topology change from (heterotic) Narain T-duality, T-duality simplifies bulk-boundary correspondence: some higher dimensional cases, On the Chern character in higher twisted \(K\)-theory and spherical T-duality, T-duality and the exotic chiral de Rham complex, Membrane sigma-models and quantization of non-geometric flux backgrounds, D-branes, RR-fields and duality on noncommutative manifolds, Crossed module actions on continuous trace \(C^*\)-algebras, Higher geometry for non-geometric T-duals, Lie algebroids, non-associative structures and non-geometric fluxes, T-duality, Quotients and Currents for Non-Geometric Closed Strings, The class of a fibre in noncommutative geometry, Introductory Lectures on Extended Supergravities and Gaugings, Towards a world-sheet description of doubled geometry in string theory, Open-string non-associativity in an R-flux background, Noncommutative gauge theories on D-branes in non-geometric backgrounds, THE TOPOLOGY OF T-DUALITY FOR Tn-BUNDLES, Topological T-duality for torus bundles with monodromy, String theory on elliptic curve orientifolds and \(KR\)-theory, Spherical T-duality, Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The structure of algebras of operator fields
- Cyclic cohomology for one-parameter smooth crossed products
- The structure of imprimitivity algebras
- An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
- C*-algebras associated with irrational rotations
- Topological invariants associated with the spectrum of crossed product \(C^*\)-algebras
- An equivariant Brauer group and actions of groups on \(C^*\)-algebras
- D-branes and \(K\)-theory
- Noncommutative geometry and matrix theory: Compactification on tori
- String theory and noncommutative geometry
- \(T\)-duality: topology change from \(H\)-flux
- Mirror symmetry is \(T\)-duality
- Some global aspects of duality in string theory
- Graded Brauer groups and K-theory with local coefficients
- \(T\)-duality for principal torus bundles and dimensionally reduced Gysin sequences
- OVERVIEW OF K-THEORY APPLIED TO STRINGS
- Topology and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi></mml:math>-Flux of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mm
- Crossed Products of Continuous-Trace C ∗ -Algebras by Smooth Actions
- Group Extensions and Cohomology for Locally Compact Groups. III
- Dixmier-Douady Classes of Dynamical Systems and Crossed Products
- Champs continus d'espaces hilbertiens et de $C^*$-algèbres
- Torus fibrations, gerbes, and duality
- K-THEORY AND REALITY
- Representation of rings by sections
- Algebraic Cohomology of Topological Groups
- Spaces With a Compact Lie Group of Transformations
- Target space duality. I: General theory