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arXiv · 2209.14617

Algebraic operad of SUSY vertex algebra

Yusuke Nishinaka·Shintarou Yanagida
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Abstract

We introduce algebraic operads $\mathcal{P}^{\text{ch}N_W=N}$ and $\mathcal{P}^{\text{ch}N_K=N}$ encoding the structures of $N_W=N$ and $N_K=N$ SUSY vertex algebras, and study the corresponding cohomology theory. Our operad is a SUSY analogue of the operad $P^{\text{ch}}$ introduced by Bakalov, De Sole, Heluani and Kac (2019) as a purely algebraic translation of the chiral operad of Beilinson and Drinfeld.

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BibTeXRIS

Yusuke Nishinaka, Shintarou Yanagida. 2022-09-29. Algebraic operad of SUSY vertex algebra. https://arxiv.org/abs/2209.14617

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