End of The World brane networks for infinite distance limits in CY moduli space

TL;DR

This paper investigates the structure of infinite distance limits in the moduli space of Calabi-Yau fourfolds in M-theory, using dynamical cobordism and end of the world branes to classify singularities and their geometric properties.

Contribution

It introduces a novel framework connecting infinite distance singularities in CY moduli space with networks of ETW branes characterized by critical exponents and Hodge theory.

Findings

Classified infinite distance singularities via ETW branes and critical exponents.

Mapped the network of singularities to intersecting divisors in Hodge theory.

Provided spacetime realizations for the singularity loci.

Abstract

Dynamical Cobordism provides a powerful method to probe infinite distance limits in moduli/field spaces parameterized by scalars constrained by generic potentials, employing configurations of codimension-1 end of the world (ETW) branes. These branes, characterized in terms of critical exponents, mark codimension-1 boundaries in the spacetime in correspondence of finite spacetime distance singularities at which the scalars diverge. Using these tools, we explore the network of infinite distance singularities in the complex structure moduli space of Calabi-Yau fourfolds compactifications in M-theory with a four-form flux turned on, which is described in terms of normal intersecting divisors classified by asymptotic Hodge theory. We provide spacetime realizations for these loci in terms of networks of intersecting codimension-1 ETW branes classified by specific critical exponents which encapsulate the relevant information of the asymptotic Hodge structure characterizing the corresponding divisors.