框架unknot的LMOV不变量的可积性

IF 1.2 3区数学 Q1 MATHEMATICS Communications in Number Theory and Physics Pub Date : 2021-06-05 DOI:10.4310/CNTP.2019.V13.N1.A3

Wei Luo, Shengmao Zhu

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引用次数: 7

摘要

Labastida-Marin~o-Ooguri-Vafa（LMOV）不变量是基于M-理论的串对偶猜想而期望为整数的开串BPS不变量。文献中已经得到了几个关于框架unknot的LMOV不变量的显式公式。在本文中，我们提出了一种统一的方法来处理这种显式公式的完整性。此外，我们还证明了某些LMOV不变量在更高属中的框架unknot的完整性。

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Integrality of the LMOV invariants for framed unknot

The Labastida-Marin˜o-Ooguri-Vafa (LMOV) invariants are the open string BPS invariants which are expected to be integers based on the string duality conjecture from M-theory. Several explicit formulae of LMOV invariants for framed unknot have been obtained in the literature. In this paper, we present a uniﬁed method to deal with the integrality of such explicit formulae. Furthermore, we also prove the integrality of certain LMOV invariants for framed unknot in higher genera.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.

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