Journal of High Energy Physics

, 2015:39

On modular transformations of toric conformal blocks

Open Access
Regular Article - Theoretical Physics

DOI: 10.1007/JHEP10(2015)039

Cite this article as:
Nemkov, N. J. High Energ. Phys. (2015) 2015: 39. doi:10.1007/JHEP10(2015)039


We derive and solve the difference equations on the toric modular kernel following from the consistency relations in the fusion algebra. The result is explicit and simple series expansion for the toric modular kernel of non-degenerate Virasoro conformal blocks. We show that this expansion is equivalent to the celebrated integral representation due to J. Teschner.


Conformal and W Symmetry Nonperturbative Effects Quantum Groups 

Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Moscow Institute of Physics and Technology (MIPT)DolgoprudnyRussia
  2. 2.Institute for Theoretical and Experimental Physics (ITEP)MoscowRussia

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