Calabi-Yau attractor varieties and degeneration of Hodge structure

2021/02/15 by Rahmati, Mohammad Reza
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.12361

Abstract

We study the structure of string theory flux compactification for a general family of elliptic CY 3-folds. We investigate the locus of the attractor points of the flux compactification in type IIB string theory on the boundary components of period domains. Specifically we give equations describing this locus through the asymptotic of nilpotent orbits on period domains. our approach is a mixture of techniques of asymptotic Hodge theory and the numerical period vectors used in physics.

Related

• Asymptotic String Compactifications; Periods, flux potentials, and the swampland
• Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
• Attractors and Arithmetic
• Calabi-Yau Period Geometry and Restricted Moduli in Type II Compactifications
• Modeling General Asymptotic Calabi-Yau Periods