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

Heydeman, Matthew and Schwarz, John H. and Wen, Congkao and Zhang, Shun-Qing (2019) All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space. Physical Review Letters, 122 (11). Art. No. 111604. ISSN 0031-9007. doi:10.1103/PhysRevLett.122.111604.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Heydeman, Matthew0000-0001-7033-9075
Schwarz, John H.0000-0001-9861-7559
Wen, Congkao0000-0002-5174-1576
Additional Information:© 2019 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. Received 21 December 2018; revised manuscript received 4 February 2019; published 22 March 2019. We thank Nima Arkani-Hamed, Yvonne Geyer, and Shu-Heng Shao for the very helpful discussions. We also thank Freddy Cachazo, Alfredo Guevara, and Sebastian Mizera for discussions and correspondence on related topics. C. W. was supported by Royal Society University Research Fellowship No. UF160350. S.-Q. Z. was supported by Royal Society Grant No. RGF\R1\180037. M. H. would like to thank S. S. Gubser and Princeton University for their hospitality, and work done at Princeton was supported in part by the Department of Energy under Grant No. DE-FG02-91ER40671, and by the Simons Foundation, Grant No. 511167 (SSG). M. H. and J. H. S. were supported in part by the Walter Burke Institute for Theoretical Physics at Caltech and by U.S. DOE Grant No. DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Royal SocietyUF160350
Royal SocietyRGF\R1\180037
Department of Energy (DOE)DE-FG02-91ER40671
Simons Foundation511167
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
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Issue or Number:11
Record Number:CaltechAUTHORS:20190115-161244426
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92303
Deposited By: Joy Painter
Deposited On:16 Jan 2019 00:21
Last Modified:16 Nov 2021 03:48

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