Gopakumar-Vafa hierarchies in winding inflation and uplifts

Abstract

Abstract We propose a combined mechanism to realize both winding inflation and de Sitter uplifts. We realize the necessary structure of competing terms in the scalar potential not via tuning the vacuum expectation values of the complex structure moduli, but by a hierarchy of the Gopakumar-Vafa invariants of the underlying Calabi-Yau threefold. To show that Calabi-Yau threefolds with the prescribed hierarchy actually exist, we explicitly create a database of all the genus 0 Gopakumar-Vafa invariants up to total degree 10 for all the complete intersection Calabi-Yau’s up to Picard number 9. As a side product, we also identify all the redundancies present in the CICY list, up to Picard number 13. Both databases can be accessed at this link ( https://www.desy.de/∼westphal/GV_CICY_webpage/GVInvariants.html ).

Keywords

• Flux compactifications
• Cosmology of Theories beyond the SM
• Superstring Vacua