Structure In The Heterotic Matter Field Kahler Potential

TL;DR

This paper investigates the structure of the matter field Kahler potential in heterotic string compactifications, revealing conditions under which certain terms vanish and demonstrating the persistence of this vanishing to all orders in perturbation theory.

Contribution

It provides analytical conditions for the vanishing of Kahler potential terms and explores their implications, extending to all orders in perturbation theory.

Findings

Certain Kahler potential terms vanish under specific conditions.

Explicit examples of vanishing terms are constructed and verified.

Vanishing persists to all orders in perturbative expansion.

Abstract

It has long been known that superpotential couplings in heterotic theories often vanish despite the absence of any known symmetry that would forbid them. We show that such structure is also exhibited by the matter field Kahler potential of these compactifications. We give an analytical analysis which provides some simple conditions under which certain terms, which would be expected to be present in the Kahler potential, vanish. Explicit examples of this phenomenon are provided, some of which are verifiable by other methods and some of which can only currently be accessed by these techniques. By studying the interplay of the structure we find with Higgsing transitions, we are able to show that this vanishing of Kahler potential terms can extend to all orders in a perturbative expansion in the matter fields.