Graded contractions of Virasoro algebras

2001/02/09 by I. V. Kostyakov, Kostyakov, I. V., Nikolay Gromov +5
Materials Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Porphyrin and Phthalocyanine Chemistry #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0102052

10 pages, Latex. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31 - August 05, 2000, Dubna (Russia)

arxiv created 2001/02/09 · openalex publication_date 2001/02/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe graded contractions of Virasoro algebra. The highest weight representations of Virasoro algebra are constructed. The reducibility of representations is analysed. In contrast to standart representations the contracted ones are reducible except some special cases. Moreover we find an exotic module with null-plane on fifth level.

Related

• Representations and characters of the Virasoro algebra and N=1 super-Virasoro algebras
• Generalized Virasoro and Super-Virasoro Algebras and Modules of the Intermediate Series
• Representations for the non-graded Virasoro-like algebra
• Classification of simple Harish-Chandra modules over the high rank Virasoro algebras
• q-Virasoro algebra and vertex algebras