Abstract
We study supervertices in six dimensional (2, 0) supergravity theories, and derive supersymmetry non-renormalization conditions on the 4- and 6-derivative four-point couplings of tensor multiplets. As an application, we obtain exact non-perturbative results of such effective couplings in type IIB string theory compactified on K3 surface, extending previous work on type II/heterotic duality. The weak coupling limit thereof, in particular, gives certain integrated four-point functions of half-BPS operators in the nonlinear sigma model on K3 surface, that depend nontrivially on the moduli, and capture worldsheet instanton contributions.
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Lin, YH., Shao, SH., Wang, Y. et al. Supersymmetry Constraints and String Theory on K3. J. High Energ. Phys. 2015, 1–42 (2015). https://doi.org/10.1007/JHEP12(2015)142
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DOI: https://doi.org/10.1007/JHEP12(2015)142