English

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

High Energy Physics - Theory 2019-03-29 v3

Abstract

We present a twistor-like formula for the complete tree-level S matrix of 6D (2,0)(2,0) supergravity coupled to 2121 abelian tensor multiplets. This is the low-energy effective theory that corresponds to Type IIB superstring theory compactified on a K3\mathrm{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, SO(5,21)SO(5)×SO(21){SO(5,21)\over SO(5)\times SO(21)}. Finally, by dimensional reduction, we also obtain a new formula for the tree-level S matrix of 4D N=4\mathcal{N}=4 Einstein-Maxwell theory.

Keywords

Cite

@article{arxiv.1812.06111,
  title  = {All Tree Amplitudes of 6D $(2,0)$ Supergravity: Interacting Tensor Multiplets and the $K3$ Moduli Space},
  author = {Matthew Heydeman and John H. Schwarz and Congkao Wen and Shun-Qing Zhang},
  journal= {arXiv preprint arXiv:1812.06111},
  year   = {2019}
}

Comments

6 pages + references, minor revisions