Conformal bootstrap and mirror symmetry of states in Gepner models

IF 5.4 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2024-11-19 DOI:10.1007/JHEP11(2024)104

Sergej Parkhomenko

引用次数: 0

Abstract

We consider two explicit constructions of states in the orbifolds of a product of Minimal N = (2, 2) models which are based on twisting by spectral flow, mutual locality and operator algebra requirement. It is shown that these two constructions lead to the Berglund-Hubsh-Krawitz dual orbifold groups which define mirror pairs of isomorphic models. Then we generalize our construction for the orbifolds of Gepner models of superstring compactification and explicitly build IIA/IIB mirror map of the space of states of the superstrings using light-cone gauge.

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盖普纳模型中的共形引导和状态的镜像对称性

我们考虑了最小 N = (2, 2) 模型乘积轨道中状态的两种明确构造，它们基于谱流扭曲、相互位置性和算子代数要求。结果表明，这两种构造会导致伯格伦德-胡布什-克劳维茨对偶轨道群，它们定义了同构模型的镜像对。然后，我们将我们的构造推广到超弦紧凑化的 Gepner 模型的轨道，并明确地使用光锥规建立了超弦状态空间的 IIA/IIB 镜像映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).