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

Chris Hull, Richard J. Szabo

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Abstract

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.
Original languageEnglish
Article number51
JournalJournal of High Energy Physics
Volume2019
Issue number9
Early online date9 Sep 2019
DOIs
Publication statusPublished - Sep 2019

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Keywords

  • D-branes
  • Flux compactifications
  • Non-Commutative Geometry
  • String Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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