Generalized geometry lectures on type II backgrounds

Tsimpis, Dimitrios

doi:10.48550/arxiv.1606.08674

Cited by 2 publications

(3 citation statements)

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“…In this section we review well-known results about SU (n)-structures and generalized geometry. We follow here the approach presented in [38] and [39], but adapted to our conventions and notations.…”

Section: Acknowledgmentsmentioning

confidence: 99%

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D-branes and non-Abelian T-duality

2019

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We study the effect of non-Abelian T-duality (NATD) on D-brane solutions of type II supergravity. Knowledge of the full 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 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. 1 rterrisse@ipnl.in2p3.fr, 2 tsimpis@ipnl.in2p3.fr, 3 cwhiting@bates.edu arXiv:1811.05800v3 [hep-th] 2 Sep 2019Furthermore, all examples considered here will be seen to be consistent with 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 [14] 2 .More generally, for nonstandard brane solutions, such as the D2 branes considered here in sections 4, 5, 6, the geometry may not asymptote to flat space even before NATD. In that case the original solution and its dual will in general contain non-vanishing fluxes even at spatial infinity. Nevertheless, by zooming in near the locus of the NS5, one can still see the presence of a continuous distribution of NS5 branes in accordance with the harmonic superposition prescription for intersecting branes.

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Section: Acknowledgmentsmentioning

confidence: 99%

“…The first change is the choice made in [39] while the second was chosen in [38]. All cases are made to be consistent with the relation (151), which is also merely a convention.…”

Section: Solutionmentioning

confidence: 99%

D-branes and non-Abelian T-duality

2019

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“…The way to explicitly construct the spinor associated to an almost complex structure is described in some detail in e.g. [29]. Here we will outline the main steps.…”

Section: The Killing Spinors and Supersymmetrymentioning

confidence: 99%

Supersymmetric IIB background with AdS4 vacua from massive IIA supergravity

Zayas¹,

Tsimpis

Whiting

2017

Phys. Rev. D

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We present a new Type IIB supergravity background of the warped form AdS 4 × M 6 with dilaton, B-field and all Ramond-Ramond fluxes turned on. We obtain the solution by applying non-Abelian T-duality to a certain representative of a class of AdS 4 backgrounds in massive IIA supergravity. By explicitly constructing the Killing spinor of the seed solution and using an argument involving Kosmann spinorial Lie derivative we demonstrate that the background is supersymmetric.

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Generalized geometry lectures on type II backgrounds

Cited by 2 publications

References 20 publications

D-branes and non-Abelian T-duality

D-branes and non-Abelian T-duality

Supersymmetric IIB background with AdS4 vacua from massive IIA supergravity

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