Abstract
AbstractWe consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole‐cancellation condition. As a concrete example we focus on , for which we find that solutions to the F‐term equations at weak coupling, large complex structure and large volume require large flux contributions. Such contributions are however strongly disfavored by the tadpole‐cancellation condition. We furthermore find that solutions which stabilize moduli in this perturbatively‐controlled regime are only a very small fraction of all solutions, and that the space of solutions is not homogenous but shows characteristic void structures and vacua concentrated on submanifolds.
Highlights
String theory is argued to be a consistent theory of quantum gravity including gauge interactions
A way to achieve this for type II theories is to deform the background geometry by NeveuSchwarz–Neveu-Schwarz (NS-NS) and Ramond-Ramond (R-R) fluxes, which generate a potential in the four-dimensional theory and provide mass-terms for the moduli fields
We have analyzed the number of physically-distinct solutions satisfying gs ≤ 1/c
Summary
String theory is argued to be a consistent theory of quantum gravity including gauge interactions. Moduli stabilization and the construction of a gauge-theory sector are two important aspects of connecting string theory to realistic four-dimensional physics These tasks are often approached independently, as emphasized for instance in [12], there is a complicated interplay between them. In order to stabilize moduli in a weak-coupling, large complex-structure and large-volume regime, the flux contribution to the left-hand side of tadpolecancellation condition (1.1) has to be larger than a certain threshold The more reliable these vacua are required to be, the larger this threshold has to be. This work is organized as follows: in section 2 we review type IIB orientifold compactifications with geometric and non-geometric fluxes, we discuss the corresponding tadpole-cancellation conditions, we specialize to the example of the T6/Z2 × Z2 orientifold and determine the relevant dualities.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
