Torus classical conformal blocks

Abstract

After deriving the classical Ward identity for the variation of the action under a change of the modulus of the torus we map the problem of the sphere with four sources to the torus. We extend the method previously developed for computing the classical conformal blocks for the sphere topology to the tours topology. We give the explicit results for the classical blocks up to the third order in the nome included and compare them with the classical limit of the quantum conformal blocks. The extension to higher orders is straightforward.

15 pages LaTeX, references added, typos corrected

References in corpus (6)

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Cited by in corpus (6)

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• The continuation method and the real analyticity of the accessory parameters: the general elliptic case
• Generalized monodromy method in gauge/gravity duality
• The continuation method and the real analyticity of the accessory parameters: the parabolic case