Author:
Font Anamaría,Herráez Alvaro,Ibáñez Luis E.
Abstract
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 on S3× S3. We show how using KK scales properly modified by the compact metric leads to no separationof scales with $$ {M}_{\mathrm{KK}}^2=\mathfrak{c}\left|\Lambda \right|, $$
M
KK
2
=
c
Λ
,
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 on S3× S3. In this geometric dual one again observes that the strong AdS distance conjecture is obeyed with $$ {M}_{\mathrm{KK}}^2=\mathfrak{c}^{\prime}\left|\Lambda \right|, $$
M
KK
2
=
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 $$ {M}_{\mathrm{KK}}^2=\mathfrak{c}\left|\Lambda \right| $$
M
KK
2
=
c
Λ
with $$ \mathfrak{c} $$
c
a flux-independent numerical constant.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference31 articles.
1. C. Vafa, The String landscape and the swampland, hep-th/0509212 [INSPIRE].
2. T.D. Brennan, F. Carta and C. Vafa, The String Landscape, the Swampland and the Missing Corner, PoS(TASI2017)015 (2017) [arXiv:1711.00864] [INSPIRE].
3. E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
4. F.F. Gautason, M. Schillo, T. Van Riet and M. Williams, Remarks on scale separation in flux vacua, JHEP 03 (2016) 061 [arXiv:1512.00457] [INSPIRE].
5. D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [INSPIRE].
Cited by
28 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献