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Title: 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 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 ) × 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.

Authors:
; ; ;
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States); Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1570516
Alternate Identifier(s):
OSTI ID: 1600523
Grant/Contract Number:  
SC0011632; FG02-91ER40671
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 11; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Heydeman, Matthew, Schwarz, John H., Wen, Congkao, and Zhang, Shun-Qing. All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevLett.122.111604.
Heydeman, Matthew, Schwarz, John H., Wen, Congkao, & Zhang, Shun-Qing. All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space. United States. https://doi.org/10.1103/PhysRevLett.122.111604
Heydeman, Matthew, Schwarz, John H., Wen, Congkao, and Zhang, Shun-Qing. Fri . "All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space". United States. https://doi.org/10.1103/PhysRevLett.122.111604.
@article{osti_1570516,
title = {All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space},
author = {Heydeman, Matthew and Schwarz, John H. and Wen, Congkao and Zhang, Shun-Qing},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.122.111604},
journal = {Physical Review Letters},
number = 11,
volume = 122,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.122.111604

Citation Metrics:
Cited by: 8 works
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Works referenced in this record:

M5-brane and D-brane scattering amplitudes
journal, December 2017

  • Heydeman, Matthew; Schwarz, John H.; Wen, Congkao
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)003

Scattering in three dimensions from rational maps
journal, October 2013

  • Cachazo, Freddy; He, Song; Yuan, Ellis Ye
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)141

On-shell superamplitudes in $ \mathcal{N} < 4 $ SYM
journal, September 2011

  • Elvang, Henriette; Huang, Yu-tin; Peng, Cheng
  • Journal of High Energy Physics, Vol. 2011, Issue 9
  • DOI: 10.1007/JHEP09(2011)031

Perturbative Gauge Theory as a String Theory in Twistor Space
journal, October 2004


Double soft theorems in gauge and string theories
journal, July 2015

  • Volovich, Anastasia; Wen, Congkao; Zlotnikov, Michael
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)095

Consistency Conditions for Gauge Theory S Matrices from Requirements of Generalized Unitarity
journal, June 2014


From U(1) to E8: soft theorems in supergravity amplitudes
journal, March 2015

  • Chen, Wei-Ming; Huang, Yu-tin; Wen, Congkao
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)150

The S matrix of 6D super Yang-Mills and maximal supergravity from rational maps
journal, September 2018

  • Cachazo, Freddy; Guevara, Alfredo; Heydeman, Matthew
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)125

Scattering of Massless Particles in Arbitrary Dimensions
journal, October 2014


Amplitudes and spinor-helicity in six dimensions
journal, July 2009


String-theoretic deformation of the Parke-Taylor factor
journal, September 2017


Supersymmetry Constraints and String Theory on K3
journal, December 2015

  • Lin, Ying-Hsuan; Shao, Shu-Heng; Wang, Yifan
  • Journal of High Energy Physics, Vol. 2015, Issue 12
  • DOI: 10.1007/JHEP12(2015)142

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
journal, July 2015

  • Cachazo, Freddy; He, Song; Yuan, Ellis Ye
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)149

What is the simplest quantum field theory?
journal, September 2010

  • Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2010, Issue 9
  • DOI: 10.1007/JHEP09(2010)016

Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current
journal, February 1965


Tree-level S matrix of Yang-Mills theory
journal, July 2004


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    • Rastelli, Leonardo; Roumpedakis, Konstantinos; Zhou, Xinan
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    On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
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    journal, December 2019

    • Geyer, Yvonne; Monteiro, Ricardo; Stark-Muchão, Ricardo
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    • DOI: 10.1007/jhep12(2019)049