McOrist Jock
Department of Mathematics, University of Surrey, Guildford, GU2 7XH UK.
Lett Math Phys. 2018;108(4):1031-1081. doi: 10.1007/s11005-017-1025-0. Epub 2017 Nov 13.
The effective field theory of heterotic vacua that realise [Formula: see text] preserving [Formula: see text] supersymmetry is studied. The vacua in question admit large radius limits taking the form [Formula: see text], with [Formula: see text] a smooth threefold with vanishing first Chern class and a stable holomorphic gauge bundle [Formula: see text]. 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 [Formula: see text]. 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 [Formula: see text] and superpotential [Formula: see text].
我们研究了实现保持(\mathcal{N} = 1)超对称性的杂化真空有效场论。所讨论的真空允许大半径极限，其形式为(X = \mathbb{C}^3 / \Gamma\times Y)，其中(Y)是具有零第一陈类的光滑三维流形，(\mathcal{E})是稳定的全纯规范丛。在之前的一篇论文中，我们计算了模的动能项，推导了模度量和凯勒势。在本文中，我们计算有效场论中的其余耦合，精确到(\alpha')的一阶。特别地，我们计算物质部分对凯勒势的贡献，并推导汤川耦合和其他二次费米子耦合。由此我们写出一个凯勒势(K)和超势(W)。
