Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts

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 .

v2, JHEP accepted, added references, 1+44 pages, 5 figures, 3 appendices

References in corpus (6)

• Jumping Through Loops: On Soft Terms from Large Volume Compactifications
• Fibrations in CICY Threefolds
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• ${\alpha }^{\prime }$ Inflation: Moduli Stabilisation and Observable Tensors from Higher Derivatives
• Large Field Ranges from Aligned and Misaligned Winding
• Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS

Cited by in corpus (10)

• Small Cosmological Constants in String Theory
• The LVS Parametric Tadpole Constraint
• Fuzzy Dark Matter Candidates from String Theory
• Systematics of perturbatively flat flux vacua
• Completing the D7-brane local gaugino action
• Classifying divisor topologies for string phenomenology
• Systematics of perturbatively flat flux vacua for CICYs
• The Weak Gravity Conjecture and BPS Particles
• Stability of BPS States and Weak Coupling Limits
• Divisor topologies of CICY 3-folds and their applications to phenomenology