Warped String Compactification via Singular Calabi-Yau Conformal Field Theory

TL;DR

This paper constructs modular invariant string partition functions on conifold singularities, revealing localized massless matter fields and suggesting a potential framework for local E6 GUT models.

Contribution

It introduces a novel construction of supersymmetric, modular invariant partition functions incorporating discrete series representations for singular Calabi-Yau compactifications.

Findings

Massless matter fields localized at the conifold tip.

Partition functions include contributions from discrete series of SL(2,R).

Potential realization of local E6 GUT models.

Abstract

We construct spacetime supersymmetric, modular invariant partition functions of strings on the conifold-type singularities which include contributions from the discrete-series representations of SL(2, R). The discrete spectrum is automatically consistent with the GSO projection in the continuous sector, and contains massless matter fields localized on a four-dimensional submanifold at the tip of a cigar. In particular, they are in the 27+1 of E6 for the E8 x E8 heterotic string. We speculate about a possible realization of local E6 GUT by using this framework.