Modular differential equations for torus one-point functions
arXiv:0810.0106 · doi:10.1088/1751-8113/42/4/045405
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.
19 pages, LaTeX; reference added
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- Universal RCFT Correlators from the Holomorphic Bootstrap
- Contour Integral Representations for the Characters of Logarithmic CFTs