Superstrings with intrinsic torsion
By J. Gauntlett, D. Martelli, D. Waldram. 2003
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We analyze the necessary and sufficient conditions for the preservation of supersymmetry for bosonic geometries of the form ${R}^{1,9\ensuremath{-}d}\ifmmode\times\else\texttimes\fi{}{M}_{d},$ in the common Neveu-Schwarz\char21{}Neveu-Schwarz (NS-NS) sector of type II string theory and also type I or heterotic string theory. The results are phrased in terms of the intrinsic torsion of G structures and provide a comprehensive classification of static supersymmetric backgrounds in these theories. Generalized calibrations naturally appear since the geometries can always arise as solutions describing NS or type I or heterotic fivebranes wrapping calibrated cycles. Some new solutions are presented. In particular we find $d=6$ examples with a fibered structure which preserve $\mathcal{N}=1,2,3$ supersymmetry in type II and include compact type I or heterotic geometries.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f8f7e00223408879ec93dfaa626dce8a26243f60
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Citations in the corpus
- Calabi-Yau connections with torsion on toric bundles (2003, neutral): “D”
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- Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006, background): “[8] that the “Iwasawa solution” presented in [7] is not a valid solution due to a sign error in the torsional equation presented in the next section.”
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- BPS Action and Superpotential for Heterotic String Compactifications with Fluxes (2003, methodology): “5, 38] and the overall size modulus remained free even after the introduction of fluxes. This cannot happen in the heterotic compactifications because of the modified Bianchi identity for the three–form [55, 46]. As we will now show, the various terms appearing in equation (2.14) generically scale diffe”
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