A Note on Flux Induced Superpotentials in String Theory
Melanie Becker, Dragos Constantin
TL;DR
This paper verifies Gukov's conjecture on flux-induced superpotentials in string theory by performing Kaluza-Klein reductions in heterotic and M-theory compactifications, confirming the proposed superpotential form.
Contribution
It provides the first explicit checks of Gukov's conjecture in heterotic and warped M-theory compactifications, advancing understanding of flux effects in string theory.
Findings
Confirmed Gukov's superpotential conjecture in heterotic compactifications.
Validated the conjecture for warped M-theory on Spin(7) manifolds.
Enhanced understanding of flux-induced superpotentials in various string theory backgrounds.
Abstract
Non-vanishing fluxes in M-theory and string theory compactifications induce a superpotential in the lower dimensional theory. Gukov has conjectured the explicit form of this superpotential. We check this conjecture for the heterotic string compactified on a Calabi-Yau three-fold as well as for warped M-theory compactifications on Spin(7) holonomy manifolds, by performing a Kaluza-Klein reduction.
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