Superopers on Supercurves

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• 作者：Anton M. Zeitlin (1) (2) (3)
  
  1. Department of Mathematics ; Columbia University ; 2990 Broadway ; New York ; NY ; 10027 ; USA
  2. Max Planck Institute for Mathematics ; Vivatsgasse 7 ; 53111 ; Bonn ; Germany
  3. IPME RAS ; V.O. Bolshoj pr. ; 61 ; St. Petersburg ; 199178 ; Russia
  
• 关键词：17B80 ; 58A50 ; 81R12 ; 32C11 ; opers ; Lie superalgebras ; Gaudin model ; the Bethe ansatz
• 刊名：Letters in Mathematical Physics
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：105
• 期：2
• 页码：149-167
• 全文大小：236 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Statistical Physics
  Geometry
  Group Theory and Generalizations
  
• 出版者：Springer Netherlands
• ISSN：1573-0530

文摘

In this note, we introduce the generalization of opers (superopers) for a certain class of superalgebras with a root system, which admits a basis of odd roots. We study in detail SPL 2-superopers and in particular derive the corresponding Bethe ansatz equations, which describe the spectrum of the \({\mathfrak{osp}(1|2)}\) Gaudin model.