Recursive representation of the torus 1-point conformal block

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 1 eps figure, misprints corrected and a reference added

Scientific paper

The recursive relation for the 1-point conformal block on a torus is derived
and used to prove the identities between conformal blocks recently conjectured
by R. Poghossian. As an illustration of the efficiency of the recurrence method
the modular invariance of the 1-point Liouville correlation function is
numerically analyzed.

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