Abstract
Utilizing a setup of type IIB superstring theory compactified on an orientifold of T^6/(Z2xZ2), we propose a modular invariant dimensional oxidation of the four-dimensional scalar potential. In the oxidized ten-dimensional supergravity action, the standard NS-NS and RR three form fluxes (H-, F-) as well as the non-geometric fluxes (Q-, P-) are found to nicely rearrange themselves to form generalized flux-combinations. As an application towards moduli stabilization, using the same S-duality invariant scalar potential, we examine the recently proposed No-Go theorem (in arXiv:1409.7075) about creating a mass-hierarchy between universal-axion and the dilaton relevant for axionic-inflation. Considering a two-field dynamics of universal axion and dilaton while assuming the other moduli/axions being stabilized, we find a part of the No-Go arguments to be quite robust even with the inclusion of non-geometric (Q-, P-) fluxes.
Highlights
Utilizing a setup of type IIB superstring theory compactified on an orientifold of T6/(Z2 × Z2), we propose a modular invariant dimensional oxidation of the fourdimensional scalar potential
This paper is organized as follows: in section 2, we present the basic set-up of the type IIB on T6/ (Z2 × Z2) orientifold and the general fluxes allowed to write out a generic form of superpotential involving the two NS-NS fluxes (H, Q) and their respective S-dual (F, P ) fluxes
We propose a S-duality invariant ten-dimensional supergravity action via dimensional oxidation of a four-dimensional scalar potential, obtained by utilizing the Kahler- and super-potential expressions for a toroidal orientifold of type IIB superstring theory in the presence of non-geometric fluxes
Summary
We will present the full F-term scalar potential in the form of various “suitable” pieces to be later utilized for the oxidation purpose . Let us apply the reverse logic to motivate that in order to have S-duality invariance in the D-term contributions (VDH3F + VDQ7F ) of [18], the use of generalized flux orbits is quite natural and necessary For this purpose, consider the D7-tadpole terms VDQ7F as given in eq (3.7) and invoke the terms needed for modular completion under transformations in eq (2.19). Following all these taxonomy of terms and taking care of contributions from the various local sources, we reach a nicely structured form of the full scalar potential given as, VFull = VF + VD = VHH + VFF + VQQ + VPP + VHQ + VFP + VQP (3.9) With this much ingredient in hand we are in a position to conjecture a modular completed version of the dimensional oxidation proposed in [18]
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