用二元化算法探究坏理论。第二部分.

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Journal of High Energy Physics Pub Date : 2024-07-18 DOI:10.1007/jhep07(2024)165
Simone Giacomelli, Chiung Hwang, Fabio Marino, Sara Pasquetti, Matteo Sacchi
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引用次数: 0

摘要

我们继续分析[1]中开始的坏理论,重点是三维中具有坏单元和特殊单元规规组的四元数理论。通过扩展二元化算法,我们证明坏线性四元数的分区函数可以写成一个分布,由涉及三角函数乘以好四元数理论分区函数的乘积的项之和给出。我们详细描述了坏理论的分区函数中出现的好的震颤理论,并讨论了我们的结果的布兰解释。我们还详细讨论了将这些理论提升到具有交折射规规组的 4d quivers 的问题,在这种情况下,我们的结果可以通过研究某些手性算子的期望值所引发的希格斯化来恢复。本文附有一个 Mathematica 文件,该文件实现了任意单元坏线性簇的算法。
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Probing bad theories with the dualization algorithm. Part II.

We continue our analysis of bad theories initiated in [1], focusing on quiver theories with bad unitary and special unitary gauge groups in three dimensions. By extending the dualization algorithm we prove that the partition function of bad linear quivers can be written as a distribution, given by a sum of terms involving a product of delta functions times the partition function of a good quiver theory. We describe in detail the good quiver theories appearing in the partition function of the bad theory and discuss the brane interpretation of our result. We also discuss in detail the lift of these theories to 4d quivers with symplectic gauge groups, in which our results can be recovered by studying the Higgsing triggered by the expectation value for certain chiral operators. The paper is accompanied by a Mathematica file which implements the algorithm for an arbitrary unitary bad linear quiver.

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来源期刊
Journal of High Energy Physics
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).
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