Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere

  title={Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere},
  author={Michael A.I. Flohr},
  journal={arXiv: High Energy Physics - Theory},
  • M. Flohr
  • Published 1 July 2004
  • Mathematics
  • arXiv: High Energy Physics - Theory
We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions on higher genus Riemann surfaces can be replaced by computations on the sphere under certain circumstances. We show that this proposal naturally leads to logarithmic conformal field theories, when the additional vertex operator insertions, which simulate the… 

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