Logarithmic extensions of minimal models: characters and modular transformations.

  title={Logarithmic extensions of minimal models: characters and modular transformations.},
  author={B. Feigin and A. Gaĭnutdinov and A. Semikhatov and I. Tipunin},
  journal={Nuclear Physics},
  • B. Feigin, A. Gaĭnutdinov, +1 author I. Tipunin
  • Published 2006
  • Physics, Mathematics
  • Nuclear Physics
  • Abstract We study logarithmic conformal field models that extend the ( p , q ) Virasoro minimal models. For coprime positive integers p and q , the model is defined as the kernel of the two minimal-model screening operators. We identify the field content, construct the W -algebra W p , q that is the model symmetry (the maximal local algebra in the kernel), describe its irreducible modules, and find their characters. We then derive the SL ( 2 , Z ) -representation on the space of torus… CONTINUE READING

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