Fortuity in ABJM
Alexandre Belin, Palash Singh, Rita Vadala, Alberto Zaffaroni

TL;DR
This paper investigates special BPS states and a fortuitous mechanism in ABJM theory, revealing new states at weak and strong coupling, especially at small quantum numbers, and proposes a non-renormalization conjecture for cohomologies.
Contribution
It provides explicit constructions of fortuitous states in ABJM at N=1 and N=2, including novel states at strong coupling and small quantum numbers, and introduces a non-renormalization conjecture.
Findings
Fortuitous states exist at N=1 and N=2 in ABJM.
Additional fortuitous states appear at k=2 in non-trivial monopole sectors.
Fortuitous states are found at smaller quantum numbers compared to N=4 SYM.
Abstract
We study -BPS and -BPS cohomologies and the fortuitous mechanism in ABJM theory. We first establish the existence of fortuitous states in the theory, where the theory is abelian and trace relations are extreme. We then provide explicit constructions of fortuitous states at . We find fortuitous states both at weak coupling, in direct parallel to what has been done in SYM, but we also find additional fortuitous states at , which is in the strongly coupled regime. The extra fortuitous states that appear at are in non-trivial monopole sectors. A striking distinction from 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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Quantum Chromodynamics and Particle Interactions
