Abstract
We elucidate various aspects of the physics of thraxions, ultra-light axions arising at Klebanov-Strassler multi-throats in the compactification space of IIB superstring theory. We study the combined stabilization of Kähler moduli and thraxions, showing that under reasonable assumptions, one can solve the combined problem both in a KKLT and a LVS setup. We find that for non-minimal multi-throats, the thraxion mass squared is three-times suppressed by the throat warp factor. However, the minimal case of a double-throat can preserve the six-times suppression as originally found. We also discuss the backreaction of a non-vanishing thraxion vacuum expectation value on the geometry, showing that it induces a breaking of the imaginary self-duality condition for 3-form fluxes. This in turn breaks the Calabi-Yau structure to a complex manifold one. Finally, we extensively search for global models which can accommodate the presence of multiple thraxions within the database of Complete Intersection Calabi-Yau orientifolds. We find that each multi-throat system holds a single thraxion. We further point out difficulties in constructing a full-fledged global model, due to the generic presence of frozen-conifold singularities in a Calabi-Yau orientifold. For this reason, we propose a new database of CICY orientifolds that do not have frozen conifolds but that admit thraxions.
Highlights
A completely new window where one could detect their effect on gravitational phenomena, such as the superradiance instability of binary black holes (BHs) [4]
Lots of efforts have been spent in this direction since two different moduli stabilization procedures for type IIB on CYs were proposed by Kachru, Kallosh, Linde and Trivedi and subsequently by Balasubramanian, Berglund, Conlon and Quevedo
We analyze 4d, N = 1 effective supergravity in presence of thraxions and how the results derived in [15] change when the Kähler moduli sector is taken into account
Summary
Let us consider type IIB superstring theory compactified on a compact CY threefold X whose volume is sufficiently larger than the string scale. As it is well known, the presence of fluxes and localized objects backreacts on spacetime, generically causing the compactification manifold X to cease to be CY, yet still maintaining a SU(3) structure. We recall that in order for a thraxion to exist there must be present in X at least one warped multi-throat region, with at least one homology relation among the shrinking β-cycles This setting implies the presence of quantized (2, 1)-form background fluxes. The extreme scale suppression of the thraxion sector due to warping may leave this just-complex non-CY manifold in some sense “near” the original conformal CY, where the word “near” awaits an appropriate definition of distance in torsion deformation space and the space of 4d effective actions from KK reduction, which is beyond the scope of this paper
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