Algebraic operad of SUSY vertex algebra

2022/09/29 by Nishinaka, Yusuke, Yanagida, Shintarou
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2209.14617

Abstract

We introduce algebraic operads P^chN_W=N and P^chN_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^ch introduced by Bakalov, De Sole, Heluani and Kac (2019) as a purely algebraic translation of the chiral operad of Beilinson and Drinfeld.

Related

• Algebraic operad of SUSY Poisson vertex algebra
• Conformal operads and the basic vertex algebra cohomology complex
• Vertex operator algebras and operads
• SUSY Lattice Vertex Algebras
• Supersymmetric extension of universal enveloping vertex algebras