Fortuity in ABJM
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918391175970816 |
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| author | Belin, Alexandre Singh, Palash Vadala, Rita Zaffaroni, Alberto |
| author_facet | Belin, Alexandre Singh, Palash Vadala, Rita Zaffaroni, Alberto |
| contents | We study $1/12$-BPS and $1/16$-BPS cohomologies and the fortuitous mechanism in ABJM theory. We first establish the existence of fortuitous states in the $N=1$ theory, where the theory is abelian and trace relations are extreme. We then provide explicit constructions of fortuitous states at $N=2$. We find fortuitous states both at weak coupling, in direct parallel to what has been done in $\mathcal{N}=4$ SYM, but we also find additional fortuitous states at $k=2$, which is in the strongly coupled regime. The extra fortuitous states that appear at $k=2$ are in non-trivial monopole sectors. A striking distinction from $\mathcal{N}=4$ SYM is that the fortuitous states appear at much smaller quantum numbers, making them easier to find. Along the way, we formulate a non-renormalization conjecture for cohomologies in ABJM. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fortuity in ABJM Belin, Alexandre Singh, Palash Vadala, Rita Zaffaroni, Alberto High Energy Physics - Theory We study $1/12$-BPS and $1/16$-BPS cohomologies and the fortuitous mechanism in ABJM theory. We first establish the existence of fortuitous states in the $N=1$ theory, where the theory is abelian and trace relations are extreme. We then provide explicit constructions of fortuitous states at $N=2$. We find fortuitous states both at weak coupling, in direct parallel to what has been done in $\mathcal{N}=4$ SYM, but we also find additional fortuitous states at $k=2$, which is in the strongly coupled regime. The extra fortuitous states that appear at $k=2$ are in non-trivial monopole sectors. A striking distinction from $\mathcal{N}=4$ SYM is that the fortuitous states appear at much smaller quantum numbers, making them easier to find. Along the way, we formulate a non-renormalization conjecture for cohomologies in ABJM. |
| title | Fortuity in ABJM |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.04146 |