Irreducible Representations of Finite Lie Conformal Algebras of Planar Galilean Type. Issue 3 (June 2020)

• Record Type: Journal Article
• Authors: Han, Xiu; Wang, Dengyin; Xia, Chunguang
• Is Part Of: Reports on mathematical physics. Volume 85:Issue 3(2020)
• Page Start: 387
• Page End: 397
• Publication Date: 2020-06
• Subjects: Galilean conformal algebra -- Lie conformal algebra -- conformal module; Mathematical physics -- Periodicals; Physique mathématique -- Périodiques; 530.15
• DOI: 10.1016/S0034-4877(20)30043-4
• Languages: English
• ISSNs: 0034-4877

Abstract

Abstract : It is well known that Galilean conformal algebras play important roles in the nonrelativistic anti-de Sitter/conformal field theory correspondence. The finite Lie conformal algebras P G ( a, b ) of planar Galilean type can be viewed as Lie conformal analogues of certain planar Galilean conformal algebras. In this paper, we classify finite irreducible conformal modules over P G ( a, b ) for all complex numbers a and b .