Hitchin functionals in N = 2 supergravity
By M. Graña, J. Louis, D. Waldram. 2005
250 citations recorded by the source corpus.
We consider type II string theory in space-time backgrounds which admit eight supercharges. Such backgrounds are characterized by the existence of a (generically non-integrable) generalized SU(3) × SU(3) structure. We demonstrate how the corresponding ten-dimensional supergravity theories can in part be rewritten using generalised O(6,6)-covariant fields, in a form that strongly resembles that of four-dimensional N = 2 supergravity, and precisely coincides with such after an appropriate Kaluza-Klein reduction. Specifically we demonstrate that the NS sector admits a special Kahler geometry with Kahler potentials given by the Hitchin functionals. Furthermore we explicitly compute the N = 2 version of the superpotential from the transformation law of the gravitinos, and find its N = 1 counterpart.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5559e7ddd6674790be2b2a013ef9ed26ce97bb32
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Citations in the corpus
- The Swampland: Introduction and Review (2019, background): “Indeed, the general superpotential for a manifold with curvature that still has SU(3) structure was derived in [198,206–210] and reads”
- D-branes on general Script N = 1 backgrounds: superpotentials and D-terms (2006, background): “We can now consider more closely the SU(3) × SU(3) structure associated to the internal manifold M. Each SU(3) factor gives a different reduction of the SO(6) structure group of TM, and is an independent symmetry acting separately on η(1) and η(2) (see e.g. the discussion on [ 45 ]).”
- From ten to four and back again: how to generalize the geometry (2007, background): “fields that would be obtained from the vector- and hypermultiplets of the corresponding underlying N = 2 theory in the constant warp factor approximation [14, 16].”
- Flux compactifications in string theory: A Comprehensive review (2005, methodology): “[74], summarizes the effect of fluxes and torsion in the four-dimensional action 24”
- Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “Evidence for this identification is provided by comparing the generalized type IIA and type IIB superpotentials.”
- M-theory, exceptional generalised geometry and superpotentials (2008, methodology): “As shown in [11, 20], Φ± parametrise a special Kähler space underlying the vector or hypermultiplet scalar degrees of freedom, and there are simple expressions for the N = 2 analogues of the superpotential in terms of Φ±.”
- The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets (2008, background): “8) Indeed, one can check that these do not affect the metric nor the B-field, only the pure spinors defining the structure [30].”
- SU(3) × SU(3) compactification and mirror duals of magnetic fluxes (2006, methodology): “In section 4 we derive the analogs of the Killing prepotentials for the generic theory, verifying the form conjectured in [45].”
- Supersymmetric AdS5 solutions of type IIB supergravity (2005, background): “3 An alternative, but equivalent, point of view is that the spinors ξ1 ⊗ξ2 define an SU(2) ×SU(2) structure on T M5 ⊕ T ∗M5, in the sense of Hitchin [27] (see also [28, 29 ]).”
- A ten-dimensional action for non-geometric fluxes (2011, unknown): “d vielbein Eˆ (2.9), can be reexpressed in terms of this β˜ and a new metric ˜g. Indeed, one should keep in mind that even if the generalized vielbeine can be 17The Kähler potential is also invariant [65], so the scalar potential is well-defined. 14 different, the generalized metric should be the same”
- Supersymmetric sources, integrability and generalized-structure compactifications (2007, background): “ying two T-dualities to the original O3-plane. The “modulus” αappears in the pure spinors, but not in the metric nor in any of the form-fields. These non-metric moduli were discussed in some detail in [33]. It was shown that for SU(3)-structure they are in the vector representation, and were excluded”