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On the effective field theory of heterotic vacua
Authors:Jock McOrist
Institution:1.Department of Mathematics,University of Surrey,Guildford,UK
Abstract:The effective field theory of heterotic vacua that realise Open image in new window /></a> </span> preserving <span class=\(\mathcal {N}{=}1\) supersymmetry is studied. The vacua in question admit large radius limits taking the form Open image in new window /></a> </span>, with <span class= Open image in new window /></a> </span> a smooth threefold with vanishing first Chern class and a stable holomorphic gauge bundle <span class= Open image in new window /></a> </span>. In a previous paper we calculated the kinetic terms for moduli, deducing the moduli metric and Kähler potential. In this paper, we compute the remaining couplings in the effective field theory, correct to first order in <span class=\({\alpha ^{\backprime }\,}\). In particular, we compute the contribution of the matter sector to the Kähler potential and derive the Yukawa couplings and other quadratic fermionic couplings. From this we write down a Kähler potential Open image in new window /></a> </span> and superpotential <span class= Open image in new window /></a> </span>.</td>
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