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Coupled KPZ equations and their decoupleability
Boliang Fu, Tadahisa Funaki, Sunder Sethuraman, Shankar Venkataramani
https://arxiv.org/abs/2508.04637 https://

Coupled KPZ equations and their decoupleability
We discuss characterizations of the decoupleability, partial and full, of trilinear or completely symmetric real $n\times n\times n$ tensors, which inform on the structure of certain coupled KPZ equations. Informally, when the tensor is partially decoupleable, one of the components in the coupled KPZ equation splits off from the others, while when the tensor is fully decoupleable, each of the $n$ components splits off from the others. Such a characterization is recast as a problem of membersh…

Kac-Moody algebras from M5-giants
Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki
https://arxiv.org/abs/2508.20663 https://arxiv.org/pdf/2508.20663…

Kac-Moody algebras from M5-giants
We examine the giant graviton expansions of the Higgs indices for the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories with $l$ fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number $m$ appearing in the expansions consist of the contributions that generalize the characters of the W-algebra $\mathcal{W}(\mathfrak{gl}(m))$ and those which realize the characters of the affine Kac-Moody algebras of type $A_{l-1}$. Also we confirm that the inverse giant graviton expansi…