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- W3100205275 abstract "In heterotic flux compactification with supersymmetry, three different connections with torsion appear naturally, all in the form ω+aH. Supersymmetry condition carries a = −1, the Dirac operator has a = −1/3, and higher order term in the effective action involves a = 1. With a view toward the gauge sector, we explore the geometry with such torsions. After reviewing the supersymmetry constraints and finding a relation between the scalar curvature and the flux, we derive the squared form of the zero mode equations for gauge fermions. With dH = 0, the operator has a positive potential term, and the mass of the unbroken gauge sector appears formally positive definite. However, this apparent contradiction is avoided by a no-go theorem that the compactification with H≠0 and dH = 0 is necessarily singular, and the formal positivity is invalid. With dH≠0, smooth compactification becomes possible. We show that, at least near smooth supersymmetric solution, the size of H2 should be comparable to that of dH and the consistent truncation of the action has to keep α'R2 term. A warp factor equation of motion is rewritten with α'R2 contribution included precisely, and some limits are considered." @default.
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- W3100205275 date "2006-07-20" @default.
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- W3100205275 title "Comments on heterotic flux compactifications" @default.
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- W3100205275 doi "https://doi.org/10.1088/1126-6708/2006/07/030" @default.
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