Elliptic Singularities, \theta-Puzzle and Domain Walls

TL;DR

This paper explores the complex vacuum structure and domain walls in N=1 four-dimensional gluodynamics derived from M-theory compactifications on elliptic Calabi-Yau fourfolds, focusing on singularities and their topological intersections.

Contribution

It provides a novel analysis of how singular elliptic fibers' topology influences vacuum entanglement and domain wall formation in M-theory compactifications.

Findings

Topology of singular fibers determines vacuum entanglement.

Intersections among components influence domain wall appearance.

Analysis of _{n-1} and _{n+4} singularities.

Abstract

We study N=1 four dimensional gluodynamics in the context of M-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Gaugino condensates, \theta-dependence, Witten index and domain walls are considered for singularities of type $\hat{A}_{n-1}$ and $\hat{D}_{n+4}$. It is shown how the topology of intersections among the irreducible components defining the singular elliptic fiber, determine the entanglement of vacua and the appareance of domain walls.