On the Virasoro fusion and modular kernels at any irrational central charge
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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SciPost Physics, Volume 17, issue 5
Abstract
We propose a series representation for the Virasoro fusion and modular kernels at any irrational central charge. Two distinct, yet closely related formulas are needed for the cases c ∈ C\(−∞, 1] and c < 1. Our proposal for c < 1 agrees numerically with the fusion transformation of the four-point spherical conformal blocks, whereas our proposal for c ∈ C\(−∞, 1] agrees numerically with Ponsot and Teschner’s integral formula for the fusion kernel. The case of the modular kernel is studied as a special case of the fusion kernel.Description
Publisher Copyright: Copyright J. Roussillon.
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Roussillon, J 2024, 'On the Virasoro fusion and modular kernels at any irrational central charge', SciPost Physics, vol. 17, no. 5, 138. https://doi.org/10.21468/SciPostPhys.17.5.138