Published March 22, 2019
| Published + Submitted
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All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space
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.
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.Attached Files
Published - PhysRevLett.122.111604.pdf
Submitted - 1812.06111.pdf
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Additional details
- Eprint ID
- 92303
- Resolver ID
- CaltechAUTHORS:20190115-161244426
- Royal Society
- UF160350
- Royal Society
- RGF\R1\180037
- Department of Energy (DOE)
- DE-FG02-91ER40671
- Simons Foundation
- 511167
- Walter Burke Institute for Theoretical Physics, Caltech
- Department of Energy (DOE)
- DE-SC0011632
- SCOAP3
- Created
-
2019-01-16Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2018-054