1. D-branes and non-Abelian T-duality
- Author
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Catherine A. Whiting, Robin Terrisse, Dimitrios Tsimpis, Institut de Physique Nucléaire de Lyon (IPNL), Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), and Université de Lyon-Université de Lyon-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,geometry ,dimension: 4 ,membrane model: solution ,D-brane ,FOS: Physical sciences ,domain wall ,01 natural sciences ,Domain wall (string theory) ,High Energy Physics::Theory ,Mathematics::K-Theory and Homology ,0103 physical sciences ,Brane cosmology ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,Abelian group ,010306 general physics ,Mathematics::Symplectic Geometry ,spinor ,Mathematical physics ,Physics ,T-duality ,Spinor ,Spacetime ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,Supergravity ,tracks ,Sasaki-Einstein ,transverse ,SU(2) ,space-time ,High Energy Physics - Theory (hep-th) ,effect: nonabelian ,T-duality: nonabelian ,lcsh:QC770-798 ,supergravity ,Brane ,supersymmetry - Abstract
We study the effect of non-Abelian T-duality (NATD) on D-brane solutions of type II supergravity. Knowledge of the full interpolating brane solution allows us to track the brane charges and the corresponding brane configurations, thus providing justification for brane setups previously proposed in the literature and for the common lore that Dp brane solutions give rise to D(p+1)-D(p+3)-NS5 backgrounds under SU(2) NATD transverse to the brane. In brane solutions where spacetime is empty and flat at spatial infinity before the NATD, the spatial infinity of the NATD is universal, i.e. independent of the initial brane configuration. Furthermore, it gives enough information to determine the ranges of all coordinates after NATD. In the more complicated examples of the D2 branes considered here, where spacetime is not asymptotically flat before NATD, the interpretation of the dual solutions remains unclear. In the case of supersymmetric D2 branes arising from M2 reductions to IIA on Sasaki-Einstein seven-manifolds, we explicitly verify that the solution obeys the appropriate generalized spinor equations for a supersymmetric domain wall in four dimensions. We also investigate the existence of supersymmetric mass-deformed D2 brane solutions., Comment: 41 pages, 1 figure; v2 references added; v3 various clarifications added, published in NPB
- Published
- 2018
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