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

Open Access

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

Matthew Heydeman, John H. Schwarz, Congkao Wen, and Shun-Qing Zhang

Phys. Rev. Lett. 122, 111604 – Published 22 March 2019

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 $K 3$ 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, ${[S O (5, 21)] / [S O (5) \times S O (21)]}$ . Finally, by dimensional reduction, we also obtain a new formula for the tree-level $S$ matrix of 4D $N = 4$ Einstein-Maxwell theory.

Received 21 December 2018
Revised 4 February 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.111604

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Higher-dimensional field theories Scattering amplitudes String dualities Supergravity

Particles & Fields

Authors & Affiliations

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

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