On the Effective Field Theory of Heterotic Vacua

Abstract

The effective field theory of heterotic vacua that realise ${\mathbb{R}}^{3,1}$ preserving $\mathcal{N}=1$ supersymmetry are studied. The vacua in question admit large radius limits taking the form ${\mathbb{R}}^{3,1}\times X$ , with $X$ a smooth three-fold with vanishing first Chern class and a stable holomorphic gauge bundle $\mathcal{E}$. In a previous paper we calculated the kinetic terms for moduli, deducing the moduli metric and Kahler potential. In this paper, we compute the remaining couplings in the effective field theory, correct to first order in alpha prime. In particular, we compute the contribution of the matter sector to the Kahler potential, derive the Yukawa couplings and other quadratic fermionic couplings. From this we write down a Kahler potential $\mathcal{K}$ and superpotential $\mathcal{W}$ .

50 pages, v2 text improved, minor corrections, refs added

References in corpus (5)

• The Revival of (0,2) Linear Sigma Models
• Recent Developments in (0,2) Mirror Symmetry
• A Metric for Heterotic Moduli
• A (0,2) Mirror Map
• Yukawa Unification in Heterotic String Theory

Cited by in corpus (7)

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• The infinitesimal moduli space of heterotic $G_2$ systems
• The Universal Geometry of Heterotic Vacua
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• Machine Learning Line Bundle Connections
• Small gauge transformations and universal geometry in heterotic theories
• Chern-Simons Invariants and Heterotic Superpotentials