# N$$\mathcal{N}$$ = 4 superconformal bootstrap of the K3 CFT

@article{Lin2015N,
title={N\$\$ \mathcal\{N\} \$\$ = 4 superconformal bootstrap of the K3 CFT},
author={Ying-Hsuan Lin and Shu-Heng Shao and David Simmons-Duffin and Y. Wang and Xi Yin},
journal={Journal of High Energy Physics},
year={2015},
volume={2017},
pages={1-52}
}
• Published 12 November 2015
• Mathematics
• Journal of High Energy Physics
A bstractWe study two-dimensional (4, 4) superconformal field theories of central charge c = 6, corresponding to nonlinear sigma models on K3 surfaces, using the superconformal bootstrap. This is made possible through a surprising relation between the BPS N$$\mathcal{N}$$ = 4 superconformal blocks with c = 6 and bosonic Virasoro conformal blocks with c = 28, and an exact result on the moduli dependence of a certain integrated BPS 4-point function. Nontrivial bounds on the non-BPS spectrum in…

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