Aspects of flavour and supersymmetry in F-theory GUTs

Aspects of flavour and supersymmetry in F-theory GUTs
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F 理论 GUT 中的风味和超对称性方面

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
Eran Palti
Eran Palti
中科院分区:
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文献类型:
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作者:
J. Conlon;Eran Palti

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我们研究了最近提出的 F 理论 GUT 模型中超对称性对风味的约束。我们将拓扑扭曲理论与八维超杨米尔斯的规范表示联系起来,并提供两者之间的字典。我们描述了有效 4 维超重力理论中超势全纯所隐含的汤川耦合的约束,包括 αGUT 的缩放。考虑到 D 项,我们由于度量和通量扰动而明确求解波函数和 Yukawa 的二阶,并找到一个没有子引导校正的一阶 Yukawa 矩阵。
We study the constraints of supersymmetry on flavour in recently proposed models of F-theory GUTs. We relate the topologically twisted theory to the canonical presentation of eight-dimensional super Yang-Mills and provide a dictionary between the two. We describe the constraints on Yukawa couplings implied by holomorphy of the superpotential in the effective 4-dimensional supergravity theory, including the scaling with αGUT. Taking D-terms into account we solve explicitly to second order for wavefunctions and Yukawas due to metric and flux perturbations and find a rank-one Yukawa matrix with no subleading corrections.