Supersymmetry Constraints and String Theory on K3

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.

47 pages, 4 figures

References in corpus (9)

• Bounds on 4D Conformal and Superconformal Field Theories
• Amplitudes and Spinor-Helicity in Six Dimensions
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• The two D6R4 type invariants and their higher order generalisation
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• N=4 Topological Amplitudes and String Effective Action
• Harmonicity in N=4 supersymmetry and its quantum anomaly
• Supergravity divergences, supersymmetry and automorphic forms
• Borcherds Algebras and N=4 Topological Amplitudes

Cited by in corpus (4)

• All Tree Amplitudes of 6D $(2,0)$ Supergravity: Interacting Tensor Multiplets and the $K3$ Moduli Space
• Shortening Anomalies in Supersymmetric Theories
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds