Target Space Duality for (0,2) Compactifications

TL;DR

This paper investigates the relationship between different (0,2) heterotic string compactifications, revealing that their moduli spaces are isomorphic and exhibit a duality that exchanges complex, Kähler, and bundle moduli, challenging previous assumptions.

Contribution

It demonstrates that the moduli spaces of certain (0,2) heterotic compactifications are isomorphic, showing a form of target space duality that exchanges different types of moduli.

Findings

Moduli spaces are isomorphic for the studied models.

Complex, Kähler, and bundle moduli are exchanged under the duality.

Evidence suggests a duality beyond perturbative transitions.

Abstract

The moduli spaces of two (0,2) compactifications of the heterotic string can share the same Landau-Ginzburg model even though at large radius they look completely different. It was argued that such a pair of (0,2) models might be connected via a perturbative transition at the Landau-Ginzburg point. Situations of this kind are studied for some explicit models. By calculating the exact dimensions of the generic moduli spaces at large radius, strong indications are found in favor of a different scenario. The two moduli spaces are isomorphic and complex, K\"ahler and bundle moduli get exchanged.