Year: 2020
Type: article
Abstract: We study the separation of AdS and Kaluza-Klein (KK) scales in type II 4d AdS orientifold vacua. We first address this problem in toroidal/orbifold type IIA vacua with metric fluxes, corresponding to compactifications in twisted tori, both from the 4d and 10d points of view. We show how the naive application of the effective 4d theory leads to results which violate the AdS distance conjecture, in a class of $$ \mathcal{N} $$ N = 1 supersymmetric models which have a 10d lifting to a compactification onS3× S3. We show how using KK scales properly modified by the compact metric leads to no separationof scales with $$ {M}_{\mathrm{KK}}^2=\mathfrak{c}\left|\Lambda \right|, $$ MKK2=cΛ, with c a numerical constant independent of fluxes. This applies with no need to keep non-leading fluxes fixed. We also consider a class of IIB models with non-geometric fluxes in which the effective field theory analysis seems to lead to a naive separation of scales and a violation of the AdS distance conjecture. It has a T-dual which again may be understood as a 10d type IIA theory compactified onS3× S3. In this geometric dual one again observes that the strong AdS distance conjecture is obeyed with $$ {M}_{\mathrm{KK}}^2=\mathfrak{c}^{\prime}\left|\Lambda \right|, $$ MKK2=c′Λ, if one takes into account the curvature in the internal space. These findings seem to suggest that all toroidal/orbifold models with fluxes in this class obey $$ {M}_{\mathrm{KK}}^2=\mathfrak{c}\left|\Lambda \right| $$ MKK2=cΛ with $$ \mathfrak{c} $$ c a flux-independent numerical constant.
Source: Journal of High Energy Physics
Authors: Anamaría Font, Alvaro Herráez, Luis E. Ibáñez
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2993557449