Simple restricted modules over the N=1 Ramond algebra as weak modules for vertex operator superalgebras

2022/08/12 by Haibo Chen, Chen, Haibo
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2208.06520

openalex publication_date 2022/08/12 · openalex created_date 2022/08/18 · openalex updated_date 2026/07/28

Abstract

In the present paper, a class of new simple modules over the N=1 Ramond algebra are constructed, which are induced from simple modules over some finite dimensional solvable Lie superalgebras. These new modules are simple restricted modules over the N=1 Ramond algebra. Combined with the result in \citeL1, a classification of simple weak ψ-twisted W(0,c)-modules under certain conditions is also given. At last, some examples of simple restricted N=1 Ramond modules as various versions of Whittaker modules are presented (classical Whittaker modules were studied in \citeLPX).

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