CHL模型中扭曲指数的模拟模块化

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-10-01 DOI:10.1007/JHEP10(2025)008

Nabamita Banerjee, Vedant Bhutra, Ranveer Kumar Singh

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引用次数: 0

摘要

我们研究了CHL模型中四分之一BPS态的扭曲配分函数，并证明了对于一类大的单中心黑洞，微态的简并性由模拟Jacobi形式的傅里叶系数给出。我们的分析是Dabholkar， Murthy和Zagier （DMZ）在\( \mathcal{N} \) = 4弦理论中为1/4-BPS状态发起的计划的延续，并由Bhand， Sen和Singh （BSS）进一步扩展到CHL模型中的四分之一BPS状态。给出了配分函数的乘法升力构造，并对配分函数的加性升力作了说明。

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Mock modularity of twisted index in CHL models

We study the twisted partition function of quarter BPS states in CHL models and show that for a large class of single-centered black holes, the degeneracy of microstates is given by the Fourier coefficients of mock Jacobi forms. Our analysis is a continuation of the programme initiated by Dabholkar, Murthy and Zagier (DMZ) for 1/4-BPS dyons in \( \mathcal{N} \) = 4 string theory and further extended by Bhand, Sen and Singh (BSS) to quarter BPS states in CHL models. We also present the multiplicative lift construction of the partition function and comment on the additive lift of the same.

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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).