All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space

Matthew Heydeman; John H Schwarz; Congkao Wen; Shun-Qing Zhang

doi:10.1103/PhysRevLett.122.111604

All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space

Phys Rev Lett. 2019 Mar 22;122(11):111604. doi: 10.1103/PhysRevLett.122.111604.

Authors

Matthew Heydeman¹, John H Schwarz¹, Congkao Wen², Shun-Qing Zhang²

Affiliations

¹ Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.
² Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, London, United Kingdom.

PMID: 30951361
DOI: 10.1103/PhysRevLett.122.111604

Abstract

We present a twistorlike formula for the complete tree-level S matrix of six-dimensional (6D) (2,0) supergravity coupled to 21 Abelian tensor multiplets. This is the low-energy effective theory that corresponds to type IIB superstring theory compactified on a K3 surface. The formula is expressed as an integral over the moduli space of certain rational maps of the punctured Riemann sphere. By studying soft limits of the formula, we are able to explore the local moduli space of this theory, {[SO(5,21)]/[SO(5)×SO(21)]}. Finally, by dimensional reduction, we also obtain a new formula for the tree-level S matrix of 4D N=4 Einstein-Maxwell theory.