# R-Twisting and 4d/2d Correspondences

@article{Cecotti2010RTwistingA4, title={R-Twisting and 4d/2d Correspondences}, author={Sergio Cecotti and Andrew Neitzke and Cumrun Vafa}, journal={arXiv: High Energy Physics - Theory}, year={2010} }

We show how aspects of the R-charge of N=2 CFTs in four dimensions are encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In particular, the monodromy operator should have finite order if the R-charges are rational. We verify this for a number of examples including those arising from pairs of ADE singularities on a Calabi-Yau threefold (some of which are dual to 6d (2,0) ADE theories suitably fibered over the plane). In these cases we find that our…

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