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arXiv 1012.0796hep-th
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非对称Gepner模型III。B-L提升

Asymmetric Gepner Models III. B-L Lifting

B. Gato-Rivera, A. N. Schellekens

摘要:

B-L提升与杂种优势提升的思想相同,它是用具有相同模性质但不同保形权和基态维数的另一个东西来取代多余的和普遍存在的U(1)_{B-L}。这种方法原则上适用于(2,2)结构的所有变体,如orbifolds,Calabi-Yau流形,自由玻色子和费米子以及Gepner模型,因为它只修改了CFT的通用SO(10)xE_8部分。然而,它只能产生手征光谱,如果“内部”部门的理论提供了一个简单的5阶电流。在这里,我们将这种新的方法应用到Gepner模型。包括特殊的不变量,其中86个具有所需的5阶简单电流,其中69个产生手性光谱。三个家庭的光谱出现丰富。

英文摘要:

In the same spirit as heterotic weight lifting, B-L lifting is a way of replacing the superfluous and ubiquitous U(1)_{B-L} with something else with the same modular properties, but different conformal weights and ground state dimensions. This method works in principle for all variants of (2,2) constructions, such as orbifolds, Calabi-Yau manifolds, free bosons and fermions and Gepner models, since it only modifies the universal SO(10) x E_8 part of the CFT. However, it can only yield chiral spectra if the ``internal" sector of the theory provides a simple current of order 5. Here we apply this new method to Gepner models. Including exceptional invariants, 86 of them have the required order 5 simple current, and 69 of these yield chiral spectra. Three family spectra occur abundantly.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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