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

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arxiv 1812.06111 v3 pith:4SRHUHEE submitted 2018-12-14 hep-th

Matthew Heydeman , John H. Schwarz , Congkao Wen , Shun-Qing Zhang This is my paper · ORCID
classification hep-th
keywords formulatheorymodulispacematrixmultipletssupergravitytensor
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abstract

We present a twistor-like formula for the complete tree-level S matrix of 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 $\mathrm{K}3$ 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, ${SO(5,21)\over SO(5)\times SO(21)}$. Finally, by dimensional reduction, we also obtain a new formula for the tree-level S matrix of 4D $\mathcal{N}=4$ Einstein-Maxwell theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring

    hep-th 2019-08 conditional novelty 6.0 of 10

    The polarized scattering equation for 11D supergravity is derived from the supertwistor form of the ambitwistor superstring with SO(16) covariance, and a fermionic superpartner equation on superamplitudes is found.

  2. On anomaly free 4d $\mathcal{N}$=4 and 6d (2,0) conformal supergravities and UV finiteness of Poincar\'e supergravities

    hep-th 2026-02 unverdicted novelty 4.0 of 10

    Anomaly cancellation for specific multiplet numbers in conformal supergravities implies divergences proportional to n_v+2 in 4d PSG and n_T-21 in 6d PSG.

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