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arXiv · 2609.19297

Fortuity on the conifold

Jaehyeok Choi·Sunjin Choi·Seok Kim
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Abstract

To study the BPS black hole states in typical $\mathcal{N}=1$ AdS$_5$/CFT$_4$ models, we formulate a classical cohomology problem in the Klebanov-Witten theory, which is defined at a strongly coupled RG fixed point. We set up its weakly coupled cohomology problem in the UV theory, suggesting a refined notion of monotonous and fortuitous cohomologies so that simple baryonic operators belong to the former. We construct infinitely many fortuitous cohomologies in the $SU(2)\times SU(2)$ theory and interpret some of them as $N=2$ versions of hairy black hole states dressed by baryonic condensates. We also comment that the recently constructed fortuitous cohomologies in ABJM exhibit generalized monotonicity.

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Jaehyeok Choi, Sunjin Choi, Seok Kim. 2026-09-16. Fortuity on the conifold. https://arxiv.org/abs/2609.19297

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