2024/01/04 by Belavin, Vladimir, Cabezas, J. Ramos · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2401.02580
We study \mathfraksl2 and \mathfraksl3 global conformal blocks on a sphere and a torus, using the shadow formalism. These blocks arise in the context of Virasoro and W3 conformal field theories in the large central charge limit. In the \mathfraksl2 case, we demonstrate that the shadow formalism yields the known expressions in terms of conformal partial waves. Then, we extend this approach to the \mathfraksl3 case and show that it allows to build simple integral representations for \mathfraksl3 global blocks. We demonstrate this construction on two examples: the four-point block on the sphere and the one-point torus block.