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We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces.
C. Hull and R. J. Szabo, “Noncommutative gauge theories on D-branes in non-geometric backgrounds,” JHEP
1903
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1998
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M. R. Douglas and C. M. Hull, “D-branes and the noncommutative torus,” JHEP
1998
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C.-S. Chu and P.-M. Ho, “Noncommutative open string and D-brane,” Nucl. Phys
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V. Schomerus, “D-branes and deformation quantization,” JHEP
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N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP
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K. Dasgupta, G. Rajesh, and S. Sethi, “M theory, orientifolds and G - flux,” JHEP
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P. Bouwknegt and V. Mathai, “D-branes, B fields and twisted K theory,” JHEP
2000
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R. Blumenhagen, L. Görlich, B. Körs, and D. Lüst, “Noncommutative compactifications of type I strings on tori with magnetic background flux,” JHEP
2000
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R. Blumenhagen, L. Görlich, B. Körs, and D. Lüst, “Asymmetric orbifolds, noncommutative geometry and type I string vacua,” Nucl. Phys
2000
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A. Kapustin, “D-branes in a topologically nontrivial B field,” Adv. Theor. Math. Phys
2000
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M. Herbst, A. Kling, and M. Kreuzer, “Star products from open strings in curved backgrounds,” JHEP
2001
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L. Cornalba and R. Schiappa, “Nonassociative star product deformations for D-brane world volumes in curved backgrounds,” Commun. Math. Phys
2002
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R. J. Szabo, “Quantum field theory on noncommutative spaces,” Phys. Rept
2003
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S. Kachru, M. B. Schulz, P. K. Tripathy, and S. P. Trivedi, “New supersymmetric string compactifications,” JHEP
2003
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N. Hitchin, “Generalized Calabi-Yau manifolds,” Quart.J.Math.Oxford Ser
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hep-th/0409073
V. Mathai and J. M. Rosenberg, “On Mysteriously missing T-duals, H-flux and the T-duality group,” in Differential geometry and physics. Proceedings, 23rd International Conference, Tianjin, China, August 20-26, 2005 · 2004
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C. Hull, “A Geometry for non-geometric string backgrounds,” JHEP
2005
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J. Shelton, W. Taylor, and B. Wecht, “Nongeometric flux compactifications,” JHEP
2005
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P. Bouwknegt, K. Hannabuss, and V. Mathai, “Nonassociative tori and applications to T-duality,” Commun. Math. Phys
D. Andriot, O. Hohm, M. Larfors, D. Lüst, and P. Patalong, “A geometric action for non-geometric fluxes,” Phys.Rev.Lett
2012
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D. Andriot, M. Larfors, D. Lüst, and P. Patalong, “(Non-) commutative closed string on T-dual toroidal backgrounds,” JHEP
2013
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O. Hohm and B. Zwiebach, “Towards an invariant geometry of double field theory,” J.Math.Phys
2013
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O. Hohm, D. Lüst, and B. Zwiebach, “The Spacetime of Double Field Theory: Review, Remarks, and Outlook,” Fortsch.Phys
2013
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R. Blumenhagen, A. Deser, E. Plauschinn, and F. Rennecke, “A bi-invariant Einstein-Hilbert action for the non-geometric string,” Phys.Lett
2013
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2006
Cited alongside, same era.
A. Dabholkar and C. Hull, “Generalised T-duality and non-geometric backgrounds,” JHEP
2006
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P. Grange and S. Schafer-Nameki, “T-duality with H-flux: Non-commutativity, T-folds and G x G structure,” Nucl. Phys
2007
Cited alongside, same era.
C. M. Hull, “Doubled Geometry and T-Folds,” JHEP
2007
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J. Brodzki, V. Mathai, J. M. Rosenberg, and R. J. Szabo, “Noncommutative correspondences, duality and D-branes in bivariant K-theory,” Adv. Theor. Math. Phys
2009
Cited alongside, same era.
C. Hull and R. Reid-Edwards, “Non-geometric backgrounds, doubled geometry and generalised T-duality,” JHEP
2009
Cited alongside, same era.
C. Hull and B. Zwiebach, “Double Field Theory,” JHEP
2009
Cited alongside, same era.
R. Blumenhagen, A. Deser, E. Plauschinn, and F. Rennecke, “Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids,” JHEP
2013
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R. Blumenhagen, A. Deser, E. Plauschinn, F. Rennecke, and C. Schmid, “The Intriguing Structure of Non-geometric Frames in String Theory,” Fortsch. Phys
2013
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I. Bakas and D. Lüst, “3-Cocycles, Non-Associative Star-Products and the Magnetic Paradigm of R-Flux String Vacua,” JHEP
2014
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D. Mylonas, P. Schupp, and R. J. Szabo, “Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics,” J. Math. Phys
2014
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C. D. A. Blair, “Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds,” JHEP
2015
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I. Bakas and D. Lüst, “T-duality, Quotients and Currents for Non-Geometric Closed Strings,” Fortsch. Phys
2015
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L. Freidel, R. G. Leigh, and D. Minic, “Intrinsic non-commutativity of closed string theory,” JHEP
2017
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L. Freidel, R. G. Leigh, and D. Minic, “Noncommutativity of closed string zero modes,” Phys. Rev
2017
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D. Lüst, E. Plauschinn, and V. Vall Camell, “Unwinding strings in semi-flatland,” JHEP
2017
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R. Blumenhagen, I. Brunner, V. Kupriyanov, and D. Lüst, “Bootstrapping non-commutative gauge theories from L ∞ algebras,” JHEP
2018
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F. Cordonier-Tello, D. Lüst, and E. Plauschinn, “Open-string T-duality and applications to non-geometric backgrounds,” JHEP
2018
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O. Hohm, V. Kupriyanov, D. Lüst, and M. Traube, “Constructions of L ∞ L_{\infty} algebras and their field theory realizations,” Adv. Math. Phys
2018
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R. Blumenhagen, M. Brinkmann, V. Kupriyanov, and M. Traube, “On the Uniqueness of L ∞ bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps,” J. Math. Phys
2018
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E. Plauschinn, “Non-geometric backgrounds in string theory,” Phys. Rept
2019
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