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IIB supergravity on manifolds with SU(4) structure and generalized geometry

D. Prins 1 D. Tsimpis 1
1 Théorie
IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
Abstract : We consider N=(2,0) backgrounds of IIB supergravity on eight-manifolds M_8 with strict SU(4) structure. We give the explicit solution to the Killing spinor equations as a set of algebraic relations between irreducible su(4) modules of the fluxes and the torsion classes of M_8. One consequence of supersymmetry is that M_8 must be complex. We show that the conjecture of arxiv:1010.5789 concerning the correspondence between background supersymmetry equations in terms of generalized pure spinors and generalized calibrations for admissible static, magnetic D-branes, does not capture the full set of supersymmetry equations. We identify the missing constraints and express them in the form of a single pure-spinor equation which is well defined for generic SU(4)\times SU(4) backgrounds. This additional equation is given in terms of a certain analytic continuation of the generalized calibration form for codimension-2 static, magnetic D-branes.
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Submitted on : Monday, June 24, 2013 - 9:47:47 AM
Last modification on : Thursday, February 6, 2020 - 4:28:10 PM

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D. Prins, D. Tsimpis. IIB supergravity on manifolds with SU(4) structure and generalized geometry. Journal of High Energy Physics, Springer, 2013, 07(2013), pp.180. ⟨10.1007/JHEP07(2013)180⟩. ⟨in2p3-00837672⟩

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