CFT's From Calabi-Yau Four-folds

TL;DR

This paper explores the effects of fluxes and branes in Calabi-Yau four-fold compactifications across various dimensions, revealing the emergence of massless fields and superconformal theories, including connections to Kazama-Suzuki models.

Contribution

It provides a detailed analysis of vacuum and soliton structures near singularities in Calabi-Yau four-fold compactifications, identifying conditions for superconformal field theories and their relation to known models.

Findings

Massless chiral superfields and superpotentials are generated near singularities.

Nontrivial superconformal field theories arise in two and three dimensions.

Some two-dimensional theories are identified with Kazama-Suzuki coset models.

Abstract

We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and soliton structure of these models, and show that near an isolated singularity, one often generates massless chiral superfields and a superpotential, and in many instances in two or three dimensions one obtains nontrivial superconformal field theories. In the case of two dimensions, we identify some of these theories with certain Kazama-Suzuki coset models, such as the N=2 minimal models.