Proofs of five conjectural identities on modular rank four Nahm sums

Haijun Li

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arXiv · 2606.25866

Proofs of five conjectural identities on modular rank four Nahm sums

Haijun Li

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Abstract

Nahm sums and Rogers-Ramanujan type identities have attracted considerable attention in recent years. In this paper, we provide analytic proofs of five conjectural identities on modular rank four Nahm sums that were proposed by Cao and Wang. Moreover, we reveal that the conjectures of Shi-Wang and Cao-Wang are closely related.

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Haijun Li. 2026-06-24. Proofs of five conjectural identities on modular rank four Nahm sums. https://arxiv.org/abs/2606.25866

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