Superconformal algebras for the Schoen Calabi-Yau manifold

TL;DR

This paper explores the worldsheet algebra structure of string theory compactified on the Schoen Calabi-Yau manifold, providing new evidence for a geometric-algebraic correspondence in special holonomy manifolds.

Contribution

It extends previous proposals by analyzing the Schoen Calabi-Yau, offering new algebraic insights into string compactifications on special holonomy spaces.

Findings

Evidence supporting the algebraic description of Schoen Calabi-Yau compactifications

Identification of specific worldsheet algebra structures related to the manifold

Enhanced understanding of geometric and algebraic correspondence in string theory

Abstract

We revisit the proposal of arXiv:2104.05716 for the worldsheet description of string theory compactifications on special holonomy manifolds obtained via connected sums: the geometric construction corresponds to a diamond of inclusions of worldsheet algebras. We present new evidence for the proposal by considering compactifications on the Schoen Calabi-Yau manifold.