Marginal deformations of Calabi-Yau hypersurface hybrids with (2,2) supersymmetry

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Griffen Adams, Ilarion V. Melnikov
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引用次数: 0

Abstract

We study two-dimensional non-linear sigma models with (2,2) supersymmetry and a holomorphic superpotential that are believed to flow to unitary compact (2,2) superconformal theories with central charges cL = cR = 9. The SCFTs have a set of marginal deformations, and some of these can be realized as deformations of parameters of the UV theory, making it possible to apply techniques such as localization to probe the deformations of the SCFT in terms of a UV Lagrangian. In this work we describe the UV lifts of the remaining SCFT infinitesimal deformations, the so-called non-toric and non-polynomial deformations. Our UV theories naturally arise as geometric phases of gauged linear sigma models, and it may be possible to extend our results to find lifts of all SCFT deformations to the gauged linear sigma model.

具有 (2,2) 超对称性的 Calabi-Yau 超曲面混合体的边际变形
我们研究具有(2,2)超对称性和全形超势能的二维非线性西格玛模型,这些模型被认为流向中心电荷为 cL = cR = 9 的单元紧凑(2,2)超共形理论。SCFT有一系列边际变形,其中一些可以作为UV理论参数的变形来实现,这使得应用诸如局域化等技术来探测SCFT在UV拉格朗日方面的变形成为可能。在这项工作中,我们描述了其余 SCFT 无穷小变形的 UV 提升,即所谓的非托里克变形和非多项式变形。我们的 UV 理论自然是作为高规线性西格玛模型的几何相出现的,也许可以扩展我们的结果,找到所有 SCFT 变形到高规线性西格玛模型的提升。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
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).
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