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arxiv 1507.06793 v2 pith:4CCW3RPL submitted 2015-07-24 hep-th hep-ph

Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness

classification hep-th hep-ph
keywords formsaxionscalarstringvacuafluxminkowskistructure
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the role of Minkowski 3-forms in flux string vacua. In these vacua all internal closed string fluxes are in one to one correspondence with quantized Minkowski 4-forms. By performing a dimensional reduction of the $D=10$ Type II supergravity actions we find that the 4-forms act as auxiliary fields of the Kahler and complex structure moduli in the effective action. We show that all the RR and NS axion dependence of the flux scalar potential appears through the said 4-forms. Gauge invariance of these forms then severely restricts the structure of the axion scalar potentials. Combined with duality symmetries it suggests that all perturbative corrections to the leading axion scalar potential $V_0$ should appear as an expansion in powers of $V_0$ itself. These facts could have an important effect e.g. on the inflaton models based on F-term axion monodromy. We also suggest that the involved multi-branched structure of string vacua provides for a new way to maintain interacting scalar masses stable against perturbative corrections.

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  1. F-theory flux vacua at large complex structure

    hep-th 2021-05 unverdicted novelty 7.0

    At large complex structure in F-theory, the F-term potential simplifies to V = Z^{AB} ρ_A ρ_B, yielding two families of flux vacua with all complex structure moduli fixed, one with bounded saxion vevs and one with unb...