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arXiv · 1612.05891

Various semiclassical limits of torus conformal blocks

K. B. Alkalaev·R. V. Geiko·V. A. Rappoport
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Abstract

We study four types of one-point torus blocks arising in the large central charge regime. According to different limits of conformal dimensions we distinguish between the global block, the light block, the heavy-light block, and the linearized classical block. We show that they are not independent and connected to each other by various links. We find that the global, light, and heavy-light blocks correspond to three different contractions of the Virasoro algebra. Also, we formulate the c-recursive representation of the one-point torus blocks which is relevant in the semiclassical approximation.

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K. B. Alkalaev, R. V. Geiko, V. A. Rappoport. 2016-12-18. Various semiclassical limits of torus conformal blocks. https://doi.org/10.1007/jhep04(2017)070

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