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arXiv · 0810.0106

Modular differential equations for torus one-point functions

Matthias R Gaberdiel·Samuel Lang
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Abstract

It is shown that in a rational conformal field theory every torus one-point function of a given highest weight state satisfies a modular differential equation. We derive and solve these differential equations explicitly for some Virasoro minimal models. In general, however, the resulting amplitudes do not seem to be expressible in terms of standard transcendental functions.

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Matthias R Gaberdiel, Samuel Lang. 2008-11-17. Modular differential equations for torus one-point functions. https://doi.org/10.1088/1751-8113%2F42%2F4%2F045405

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