Gukov-Pei-Putrov-Vafa conjecture for $SU(N)/\mathbb{Z}_m$
| Autor: | Chauhan, Sachin, Ramadevi, Pichai |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $m$. Comment: 16 pages, 4 figures. v2: added a conjecture in section 4, added a point in conclusion |
| Databáze: | arXiv |
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