BPS invariants from framed links
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913703421542400 |
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| author | Wang, Kai Zhu, Shengmao |
| author_facet | Wang, Kai Zhu, Shengmao |
| contents | In this article, we investigate the BPS invariants associated with framed links. We extend the relationship between the algebraic curve (i.e. dual $A$-polynomial) and the BPS invariants of a knot investigated in \cite{GKS} to the case of a framed knot. With the help of the framing change formula for the dual $A$-polynomial of a framed knot, we give several explicit formulas for the extremal $A$-polynomials and the BPS invariants of framed knots. As to the framed links, we present several numerical calculations for the Ooguri-Vafa invariants and BPS invariants for framed Whitehead links and Borromean rings and verify the integrality property for them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16609 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | BPS invariants from framed links Wang, Kai Zhu, Shengmao Geometric Topology High Energy Physics - Theory In this article, we investigate the BPS invariants associated with framed links. We extend the relationship between the algebraic curve (i.e. dual $A$-polynomial) and the BPS invariants of a knot investigated in \cite{GKS} to the case of a framed knot. With the help of the framing change formula for the dual $A$-polynomial of a framed knot, we give several explicit formulas for the extremal $A$-polynomials and the BPS invariants of framed knots. As to the framed links, we present several numerical calculations for the Ooguri-Vafa invariants and BPS invariants for framed Whitehead links and Borromean rings and verify the integrality property for them. |
| title | BPS invariants from framed links |
| topic | Geometric Topology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.16609 |