Recursive representation of the torus 1-point conformal block
classification
✦ hep-th
keywords
conformalpointblockrecursivetorusanalyzedblocksconjectured
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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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Exponentiation of higher-point and higher-genus Virasoro conformal blocks in the semiclassical limit
Extends the exponentiation of Virasoro conformal blocks in the semiclassical limit to higher-point and higher-genus cases at the level of formal power series using an extended oscillator method.
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