Noncommutative gauge theories on D-branes in non-geometric backgrounds

Journal of High Energy Physics

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[1] 0000 0001 2113 8111, grid.7445.2, The Blackett Laboratory, Imperial College London, Prince Consort Road, SW7 2AZ, London, U.K.;0000000106567444, grid.9531.e, Department of Mathematics, Heriot-Watt University, Colin Maclaurin Building, Riccarton, EH14 4AS, Edinburgh, U.K.;0000000404527790, grid.500539.a, Maxwell Institute for Mathematical Sciences, Edinburgh, U.K.;The Higgs Centre for Theoretical Physics, Edinburgh, U.K.;

关键词: D-branes;    Flux compactifications;    Non-Commutative Geometry;    String Duality;   

DOI  :  10.1007/JHEP09(2019)051

来源: publisher

【 摘 要 】

We investigate the noncommutative gauge theories arising on the worldvolumes of D-branes in non-geometric backgrounds obtained by T-duality from twisted tori. We revisit the low-energy effective description of D-branes on three-dimensional T-folds, examining both cases of parabolic and elliptic twists in detail. We give a detailed description of the decoupling limits and explore various physical consequences of the open string non-geometry. The T-duality monodromies of the non-geometric backgrounds lead to Morita duality monodromies of the noncommutative Yang-Mills theories induced on the D-branes. While the parabolic twists recover the well-known examples of noncommutative principal torus bundles from topological T-duality, the elliptic twists give new examples of noncommutative fibrations with non-geometric torus fibres. We extend these considerations to D-branes in backgrounds with R-flux, using the doubled geometry formulation, finding that both the non-geometric background and the D-brane gauge theory necessarily have explicit dependence on the dual coordinates, and so have no conventional formulation in spacetime.

【 授权许可】

Unknown