Fixed points of Sp(4,Z) are extrema of the moduli potential in these heterotic models, with genus-2 no-go theorems for de Sitter vacua and possible metastable minima after SUSY breaking via nonperturbative Kähler terms.
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The Species Scale implies Laplace eigenvalue equations for BPS-protected Wilson coefficients and produces a one-loop moduli potential with minima at desert points that may stabilize Kähler moduli in 4d Type IIB orientifolds.
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Automorphic Structures of Heterotic Vacua
Fixed points of Sp(4,Z) are extrema of the moduli potential in these heterotic models, with genus-2 no-go theorems for de Sitter vacua and possible metastable minima after SUSY breaking via nonperturbative Kähler terms.
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Some Properties and Uses of the Species Scale
The Species Scale implies Laplace eigenvalue equations for BPS-protected Wilson coefficients and produces a one-loop moduli potential with minima at desert points that may stabilize Kähler moduli in 4d Type IIB orientifolds.