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Peer-reviewedCC BYJournal of High Energy Physics

Fortuity in ABJM

  • Alexandre Belin1,2
  • Palash Singh1,2
  • Rita Vadalà1,2
  • Alberto Zaffaroni1,2
  1. 1INFN, Sezione di Milano-Bicocca
  2. 2Università di Milano – Bicocca
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Abstract

A bstract 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 𝒩 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 𝒩 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.

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Cite

BibTeXRIS
BibTeX
@article{belin2026fortuity,
  title = {{Fortuity in ABJM}},
  author = {Alexandre Belin and Palash Singh and Rita Vadalà and Alberto Zaffaroni},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = aug,
  doi = {10.1007/jhep08(2026)028},
  url = {https://doi.org/10.1007/jhep08(2026)028},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Fortuity in ABJM
AU  - Alexandre Belin
AU  - Palash Singh
AU  - Rita Vadalà
AU  - Alberto Zaffaroni
PY  - 2026
DA  - 2026/08/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep08(2026)028
UR  - https://doi.org/10.1007/jhep08(2026)028
AB  - A bstract 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 𝒩 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 𝒩 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.
SN  - 1029-8479
SN  - 1126-6708
SN  - 1127-2236
ER  -