Super W1+∞ n-Algebra in the Supersymmetric Landau Problem

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 648-654
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/0253-6102/67/6/648

摘要

We analyze the super n-bracket built from associative operator products.Since the super n-bracket with n even satisfies the so-called generalized super Jacobi identity,we deal with the n odd case and give the generalized super Bremner identity.For the infinite conserved operators in the supersymmetric Landau problem,we derive the super W1 +∞ n-algebra which satisfies the generalized super Jacobi and Bremner identities for the n even and odd cases,respectively.Moreover the super W1+∞ sub-2n-algebra is also given.