Supersymmetric sources, integrability and generalized-structure compactifications
By Paul Koerber, D. Tsimpis. 2007
134 citations recorded by the source corpus.
In the context of supersymmetric compactifications of type II supergravity to four dimensions, we show that orientifold sources can be compatible with a generalized SU(3) × SU(3)-structure that is neither strictly SU(3) nor static SU(2). We illustrate this with explicit examples, obtained by suitably T-dualizing known solutions on the six-torus. In addition we prove the following integrability statements, valid under certain mild assumptions: (a) for general type II supergravity backgrounds with orientifold and/or D-brane generalized-calibrated sources, the source-corrected Einstein and dilaton equations of motion follow automatically from the supersymmetry equations once the likewise source-corrected form equations of motion and Bianchi identities are imposed; (b) in the special case of supersymmetric compactifications to four-dimensional Minkowski space, the equations of motion of all fields, including the NSNS three-form, follow automatically once the supersymmetry and the Bianchi identities of the forms are imposed. Both (a) and (b) are equally valid whether the sources are smeared or localized. As a byproduct we obtain the calibration form for a space-filling NS5-brane.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/09b22b76f013073527a21242205910808b14a6b7
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Citations in the corpus
- A scan for new N = 1 vacua on twisted tori (2006, background): “As shown afterwards in [62], the consistency conditions are less rigid.”
- All AdS7 solutions of type II supergravity (2013, unknown): “The equation of motion for H, which reads for us d(e7A−2φ ∗3 H) = eF0 ∗3 F2 (again away from sources), is also automatically satisfied, as shown in general in [20].”
- From ten to four and back again: how to generalize the geometry (2007, methodology): “dHF = −j , (3.15) where j is the sum of the generalized currents [11, 35 ] of all the sources: j = P Dp j(�p,F)+ P”
- The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets (2008, methodology): “11 We also refer to table 1 of [45] which represents the allowed types of structure too, but now for space-filling orientifolds.”