On the extended W -algebra of type sl2 at positive rational level

نویسندگان

  • Akihiro Tsuchiya
  • Simon Wood
چکیده

The extended W -algebra of type sl2 at positive rational level, denoted by Mp+,p− , is a vertex operator algebra that was originally proposed in [1]. This vertex operator algebra is an extension of the minimal model vertex operator algebra and plays the role of symmetry algebra for certain logarithmic conformal field theories. We give a construction ofMp+,p− in terms of screening operators and use this construction to prove that Mp+,p− satisfies Zhu’s c2-cofiniteness condition, calculate the structure of the zero mode algebra (also known as Zhu’s algebra) and classify all simple Mp+,p−-modules. ∗Email: [email protected] †Email: [email protected] ar X iv :1 30 2. 64 35 v4 [ m at h. Q A ] 1 5 Ju l 2 01 4

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تاریخ انتشار 2014