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arXiv · 2309.10703

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

Sachin Chauhan·Pichai Ramadevi
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Abstract

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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BibTeXRIS

Sachin Chauhan, Pichai Ramadevi. 2023-11-13. Gukov-Pei-Putrov-Vafa conjecture for $SU(N)/\mathbb{Z}_m$. https://arxiv.org/abs/2309.10703

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