$$SU(N)/{\mathbb {Z}}_mafa 的 Gukov-Pei-Putrov-Vafa 猜想

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-03-13 DOI:10.1007/s11005-024-01791-2

Sachin Chauhan, Pichai Ramadevi

引用次数: 0

摘要

在我们早期的工作中，我们研究了 SO(3) gauge group 的 ${\hat{Z}} -不变式（或同调块），我们发现它与\({\hat{Z}}^{SU(2)}$相同。）这促使我们研究商群 $SU(N)/{/mathbb{Z}}_m$的\({/hat{Z}}/)-不变量，其中 m 是 N 的某个除数。有趣的是，我们发现\({/hat{Z}}/)-不变量与 m 无关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Gukov–Pei–Putrov–Vafa conjecture for $SU(N)/{\mathbb {Z}}_m$$

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Gukov–Pei–Putrov–Vafa conjecture for $SU(N)/{\mathbb {Z}}_m$

In our earlier work, we studied the ${\hat{Z}}$-invariant(or homological blocks) for SO(3) gauge group and we found it to be same as ${\hat{Z}}^{SU(2)}$. This motivated us to study the ${\hat{Z}}$-invariant for quotient groups $SU(N)/{\mathbb {Z}}_m$, where m is some divisor of N. Interestingly, we find that ${\hat{Z}}$-invariant is independent of m.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

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