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  • Letter
  • Open Access

Color-kinematics duality for nonlinear sigma models with nonsymmetric cosets

Andreas Helset

  • Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland

Phys. Rev. D 110, L101701 – Published 8 November, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L101701

Abstract

We propose an extension of the color-kinematics duality for nonlinear sigma models with nonymmetric cosets. The role of color is replaced with curvatures in field space. The duality between curvature and kinematics allows for a new double copy: the double copy of the nonlinear sigma model for nonsymmetric cosets is the general Galileon theory. We provide evidence for this new double copy of geometry.

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References (34)

  1. Z. Bern, J. J. M. Carrasco, and H. Johansson, New relations for gauge-theory amplitudes, Phys. Rev. D 78, 085011 (2008).
  2. Z. Bern, J. J. M. Carrasco, and H. Johansson, Perturbative quantum gravity as a double copy of gauge theory, Phys. Rev. Lett. 105, 061602 (2010).
  3. H. Kawai, D. C. Lewellen, and S. H. H. Tye, A relation between tree amplitudes of closed and open strings, Nucl. Phys. B269, 1 (1986).
  4. Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The duality between color and kinematics and its applications, J. Phys. A 57, 333002 (2024).
  5. Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The SAGEX review on scattering amplitudes, Chapter 2: An invitation to color-kinematics duality and the double copy, J. Phys. A 55, 443003 (2022).
  6. S. L. Adler, Consistency conditions on the strong interactions implied by a partially conserved axial vector current, Phys. Rev. 137, B1022 (1965).
  7. C. Cheung, K. Kampf, J. Novotny, and J. Trnka, Effective field theories from soft limits of scattering amplitudes, Phys. Rev. Lett. 114, 221602 (2015).
  8. K. Hinterbichler and A. Joyce, Hidden symmetry of the Galileon, Phys. Rev. D 92, 023503 (2015).
  9. C. Cheung, K. Kampf, J. Novotny, C.-H. Shen, and J. Trnka, A periodic table of effective field theories, J. High Energy Phys. 02 (2017) 020.
  10. C. Cheung, A. Helset, and J. Parra-Martinez, Geometric soft theorems, J. High Energy Phys. 04 (2022) 011.
  11. M. Derda, A. Helset, and J. Parra-Martinez, Soft scalars in effective field theory, J. High Energy Phys. 06 (2024) 133.
  12. S. R. Coleman, J. Wess, and B. Zumino, Structure of phenomenological Lagrangians. I, Phys. Rev. 177, 2239 (1969).
  13. C. G. Callan, Jr., S. R. Coleman, J. Wess, and B. Zumino, Structure of phenomenological Lagrangians. II, Phys. Rev. 177, 2247 (1969).
  14. R. Alonso, E. E. Jenkins, and A. V. Manohar, Geometry of the scalar sector, J. High Energy Phys. 08 (2016) 101.
  15. C. Cheung, A. Helset, and J. Parra-Martinez, Geometry-kinematics duality, Phys. Rev. D 106, 045016 (2022).
  16. J. J. M. Carrasco, L. Rodina, and S. Zekioglu, Composing effective prediction at five points, J. High Energy Phys. 06 (2021) 169.
  17. J. J. M. Carrasco and N. H. Pavao, Virtues of a symmetric-structure double copy, Phys. Rev. D 107, 065005 (2023).
  18. M. Chiodaroli, M. Günaydin, H. Johansson, and R. Roiban, Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity, J. High Energy Phys. 01 (2015) 081.
  19. M. Chiodaroli, M. Gunaydin, H. Johansson, and R. Roiban, Spontaneously broken Yang-Mills-Einstein supergravities as double copies, J. High Energy Phys. 06 (2017) 064.
  20. H. Johansson and J. Nohle, Conformal gravity from gauge theory, arXiv:1707.02965.
  21. H. Johansson and A. Ochirov, Color-kinematics duality for QCD amplitudes, J. High Energy Phys. 01 (2016) 170.
  22. H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin, J. High Energy Phys. 09 (2019) 040.
  23. J. J. M. Carrasco and I. A. Vazquez-Holm, Loop-level double-copy for massive quantum particles, Phys. Rev. D 103, 045002 (2021).
  24. K. Haddad and A. Helset, The double copy for heavy particles, Phys. Rev. Lett. 125, 181603 (2020).
  25. A. Brandhuber, G. Chen, H. Johansson, G. Travaglini, and C. Wen, Kinematic Hopf algebra for Bern-Carrasco-Johansson numerators in heavy-mass effective field theory and Yang-Mills theory, Phys. Rev. Lett. 128, 121601 (2022).
  26. H.-H. Chi, H. Elvang, A. Herderschee, C. R. T. Jones, and S. Paranjape, Generalizations of the double-copy: The KLT bootstrap, J. High Energy Phys. 03 (2022) 077.
  27. J. J. M. Carrasco, M. Lewandowski, and N. H. Pavao, Color-dual fates of F3, R3, and N=4 supergravity, Phys. Rev. Lett. 131, 051601 (2023).
  28. C. Cheung and C.-H. Shen, Symmetry for flavor-kinematics duality from an action, Phys. Rev. Lett. 118, 121601 (2017).
  29. F. Cachazo, S. He, and E. Y. Yuan, Scattering equations and Kawai-Lewellen-Tye orthogonality, Phys. Rev. D 90, 065001 (2014).
  30. F. Cachazo, S. He, and E. Y. Yuan, Scattering of massless particles in arbitrary dimensions, Phys. Rev. Lett. 113, 171601 (2014).
  31. F. Cachazo, S. He, and E. Y. Yuan, Scattering of massless particles: Scalars, gluons and gravitons, J. High Energy Phys. 07 (2014) 033.
  32. F. Cachazo, S. He, and E. Y. Yuan, Einstein-Yang-Mills scattering amplitudes from scattering equations, J. High Energy Phys. 01 (2015) 121.
  33. J. M. Martín-García, xact: Efficient tensor computer algebra for the Wolfram Language, www.xact.es.
  34. J. Mangan, finitefieldsolve: Exactly solving large linear systems in high-energy theory, Comput. Phys. Commun. 300, 109171 (2024).

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