Work

Fortuity in ABJM

Year: 2026
Type: article
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 $$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ 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.
Language: English
Open Access status: diamond
OpenAlex ID: W7196956429
FWCI: 18.43
Cites: 67
Cited by: 22
Related to: 10