Open-String Non-Associativity in an R-flux Background
arXiv:1903.05581 · doi:10.1007/JHEP05(2020)157
Abstract
We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H-flux, we show that open strings with end points on D3-branes in a three-dimensional R-flux background exhibit a non-associative phase-space algebra, which is similar to the non-associative R-flux algebra of closed strings. Therefore, the effective open-string gauge theory on the D3-branes is expected to be a non-associative gauge theory. We also point out differences between the non-associative phase space structure of open and closed strings in non-geometric backgrounds, which are related to the different structure of the world-sheet commutators of open and closed strings.
arXiv comment29 pages; v2: added section 3.5, minor changes; v3: published version, clarifications added in sections 3 and 4, added appendix B.4
References in corpus (50)
- String Theory and Noncommutative Geometry
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- M Theory, Orientifolds and G-Flux
- Double Field Theory
- Generalized metric formulation of double field theory
- Noncommutative Open String and D-brane
- A Geometry for Non-Geometric String Backgrounds
- D-branes and the Noncommutative Torus
- D-branes and Deformation Quantization
- Nongeometric Flux Compactifications
- New Supersymmetric String Compactifications
- Noncommutative Compactifications of Type I Strings on Tori with Magnetic Background Flux
- Doubled Geometry and T-Folds
- The Spacetime of Double Field Theory: Review, Remarks, and Outlook
- Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
- Generalised T-Duality and Non-Geometric Backgrounds
- D-branes, B-fields and twisted K-theory
- A ten-dimensional action for non-geometric fluxes
- T-duality for torus bundles via noncommutative topology
- T-duality and closed string non-commutative (doubled) geometry
- A geometric action for non-geometric fluxes
- Nonassociative Gravity in String Theory?
- Non-geometric backgrounds, doubled geometry and generalised T-duality
- Nonassociative tori and applications to T-duality
- Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
- Non-Geometric Fluxes in Supergravity and Double Field Theory
- Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
- Generalized Calabi-Yau manifolds
- Non-geometric backgrounds in string theory
- Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics
- Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
- 3-Cocycles, Non-Associative Star-Products and the Magnetic Paradigm of R-Flux String Vacua
- (Non-)commutative closed string on T-dual toroidal backgrounds
- Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry
- Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua
- Towards an invariant geometry of double field theory
- T-duality with H-flux: non-commutativity, T-folds and G x G structure
- On mysteriously missing T-duals, H-flux and the T-duality group
- The Intriguing Structure of Non-geometric Frames in String Theory
- A bi-invariant Einstein-Hilbert action for the non-geometric string
- On the Non-commutativity of Closed String Zero Modes
- Star Products from Open Strings in Curved Backgrounds
- Intrinsic non-commutativity of closed string theory
- Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
- On the Uniqueness of L bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps
- Unwinding strings in semi-flatland
- Noncommutative gauge theories on D-branes in non-geometric backgrounds
- T-duality, Quotients and Currents for Non-Geometric Closed Strings
- Open-string T-duality and applications to non-geometric backgrounds