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AdS Strings with Torsion: Non-complex Heterotic Compactifications

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arxiv hep-th/0507202 v2 pith:BPOOZUAL submitted 2005-07-20 hep-th

Andrew R. Frey , Matthew Lippert This is my paper · ORCID
classification hep-th
keywords heterotickahlercompactificationscondensatefluxesgauginonearlysupergravity
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Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3) structure. Computation of the torsion allows a classification of the internal geometry, which for a particular combination of fluxes and condensate, is nearly Kahler. We argue that all moduli are fixed, and we show that the Kahler potential and superpotential proposed in the literature yield the correct AdS radius. In the nearly Kahler case, we are able to solve the H Bianchi using a nonstandard embedding. Finally, we point out subtleties in deriving the effective superpotential and understanding the heterotic supergravity in the presence of a gaugino condensate.

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Cited by 3 Pith papers

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  1. $\mathcal{SW}$-algebras and strings with torsion

    hep-th 2024-12 conditional novelty 6.0 of 10

    For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

  2. K\"ahler moduli stabilization from ten dimensions

    hep-th 2019-08 conditional novelty 6.0 of 10

    In supersymmetric AdS4 string compactifications, the cosmological constant keeps the D7-brane four-cycle at finite size, and matching near and far from the brane reproduces, up to an undetermined coefficient, the KKLT...

  3. A note on conserved worldsheet supercharges in heterotic pure spinor superstring

    hep-th 2026-06 unverdicted novelty 3.0 of 10

    Derives covariant superspace constraints from BRST invariance and worldsheet conservation that recover standard 10D supersymmetry in flat space and require a normalizable spinor superfield for global supersymmetry in ...

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