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  • Letter
  • Open Access

Bern-Carrasco-Johansson relations in AdS5×S3 and the double-trace spectrum of super gluons

J. M. Drummond, R. Glew, and M. Santagata

  • School of Physics and Astronomy, University of Southampton, Highfield, SO17 1BJ, United Kingdom

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Phys. Rev. D 107, L081901 – Published 5 April, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L081901

Abstract

We revisit the four-point function of super gluons in AdS5×S3 and show how the integrand of a generalized Mellin transform satisfies the U(1) decoupling identity, Bern-Carrasco-Johansson relations and color-kinematic duality, in a way that directly mirrors the analogous flat space relations. We unmix the spectrum of double-trace operators at large N and find all anomalous dimensions at leading order which follow a very simple pattern, as in other theories with hidden conformal symmetries.

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References (50)

  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. Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The duality between colour and kinematics and its applications, arXiv:1909.01358.
  4. L. F. Alday, C. Behan, P. Ferrero, and X. Zhou, Gluon scattering in AdS from CFT, J. High Energy Phys. 06 (2021) 020.
  5. X. Zhou, Double Copy Relation in AdS Space, Phys. Rev. Lett. 127, 141601 (2021).
  6. L. F. Alday, A. Bissi, and X. Zhou, One-loop gluon amplitudes in AdS, J. High Energy Phys. 02 (2022) 105.
  7. L. F. Alday, V. Gonçalves, and X. Zhou, Super Gluon Five-Point Amplitudes in AdS Space, Phys. Rev. Lett. 128, 161601 (2022).
  8. C. Cheung, J. Parra-Martinez, and A. Sivaramakrishnan, On-shell correlators and colour-kinematics duality in curved symmetric spacetimes, J. High Energy Phys. 05 (2022) 027.
  9. A. Herderschee, R. Roiban, and F. Teng, On the differential representation and colour-kinematics duality of AdS boundary correlators, J. High Energy Phys. 05 (2022) 026.
  10. C. Armstrong, A. E. Lipstein, and J. Mei, Color/kinematics duality in AdS4, J. High Energy Phys. 02 (2021) 194.
  11. S. Albayrak, S. Kharel, and D. Meltzer, On duality of color and kinematics in (A)dS momentum space, J. High Energy Phys. 03 (2021) 249.
  12. L. Rastelli and X. Zhou, Mellin Amplitudes for AdS5×S5, Phys. Rev. Lett. 118, 091602 (2017).
  13. L. Rastelli and X. Zhou, How to succeed at holographic correlators without really trying, J. High Energy Phys. 04 (2018) 014.
  14. L. F. Alday and A. Bissi, Loop Corrections to Supergravity on AdS5×S5, Phys. Rev. Lett. 119, 171601 (2017).
  15. F. Aprile, J. M. Drummond, P. Heslop, and H. Paul, Quantum gravity from conformal field theory, J. High Energy Phys. 01 (2018) 035.
  16. F. Aprile, J. M. Drummond, P. Heslop, and H. Paul, Unmixing supergravity, J. High Energy Phys. 02 (2018) 133.
  17. L. F. Alday and S. Caron-Huot, Gravitational S-matrix from CFT dispersion relations, J. High Energy Phys. 12 (2018) 017.
  18. F. Aprile, J. M. Drummond, P. Heslop, and H. Paul, Loop corrections for Kaluza-Klein AdS amplitudes, J. High Energy Phys. 05 (2018) 056.
  19. F. Aprile, J. Drummond, P. Heslop, and H. Paul, Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling, Phys. Rev. D 98, 126008 (2018).
  20. S. Caron-Huot and A. K. Trinh, All tree-level correlators in AdS5×S5 supergravity: Hidden ten-dimensional conformal symmetry, J. High Energy Phys. 01 (2019) 196.
  21. V. Gonçalves, R. Pereira, and X. Zhou, 20′ five-point function from AdS5×S5 supergravity, J. High Energy Phys. 10 (2019) 247.
  22. F. Aprile, J. Drummond, P. Heslop, and H. Paul, One-loop amplitudes in AdS5×S5 supergravity from N=4 SYM at strong coupling, J. High Energy Phys. 03 (2020) 190.
  23. L. F. Alday and X. Zhou, Simplicity of AdS supergravity at one loop, J. High Energy Phys. 09 (2020) 008.
  24. A. Bissi, G. Fardelli, and A. Georgoudis, Towards all loop supergravity amplitudes on AdS5×S5, Phys. Rev. D 104, L041901 (2021).
  25. L. F. Alday and X. Zhou, All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs, Phys. Rev. X 11, 011056 (2021).
  26. L. F. Alday and X. Zhou, All Tree-Level Correlators for M-theory on AdS7×S4, Phys. Rev. Lett. 125, 131604 (2020).
  27. V. Goncalves, Four point function of N=4 stress-tensor multiplet at strong coupling, J. High Energy Phys. 04 (2015) 150.
  28. L. F. Alday, A. Bissi, and E. Perlmutter, Genus-one string amplitudes from conformal field theory, J. High Energy Phys. 06 (2019) 010.
  29. L. F. Alday, On genus-one string amplitudes on AdS5×S5, J. High Energy Phys. 04 (2021) 005.
  30. D. J. Binder, S. M. Chester, S. S. Pufu, and Y. Wang, N=4 Super-Yang-Mills correlators at strong coupling from string theory and localization, J. High Energy Phys. 12 (2019) 119.
  31. J. M. Drummond, D. Nandan, H. Paul, and K. S. Rigatos, String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM, J. High Energy Phys. 12 (2019) 173.
  32. S. M. Chester, Genus-2 holographic correlator on AdS5×S5 from localization, J. High Energy Phys. 04 (2020) 193.
  33. J. M. Drummond and H. Paul, One-loop string corrections to AdS amplitudes from CFT, J. High Energy Phys. 03 (2021) 038.
  34. J. M. Drummond, H. Paul, and M. Santagata, Bootstrapping string theory on AdS5×S5, arXiv:2004.07282.
  35. F. Aprile and P. Vieira, Large p explorations. From SUGRA to big STRINGS in Mellin space, J. High Energy Phys. 12 (2020) 206.
  36. J. M. Drummond, R. Glew, and H. Paul, One-loop string corrections for AdS Kaluza-Klein amplitudes, J. High Energy Phys. 12 (2021) 072.
  37. F. Aprile, J. M. Drummond, H. Paul, and M. Santagata, The Virasoro-Shapiro amplitude in AdS5×S5 and level splitting of 10d conformal symmetry, J. High Energy Phys. 11 (2021) 109.
  38. S. Chester and S. Pufu, Far beyond the planar limit in strongly-coupled N=4 SYM, J. High Energy Phys. 01 (2021) 103.
  39. S. M. Chester, M. B. Green, S. S. Pufu, Y. Wang, and C. Wen, New modular invariants in N=4 Super-Yang-Mills theory, J. High Energy Phys. 04 (2021) 212.
  40. F. Aprile and M. Santagata, Two particle spectrum of tensor multiplets coupled to AdS3×S3 gravity, Phys. Rev. D 104, 126022 (2021).
  41. T. Abl, P. Heslop, and A. E. Lipstein, Higher-dimensional symmetry of AdS2×S2 correlators, J. High Energy Phys. 03 (2022) 076.
  42. M. Nirschl and H. Osborn, Superconformal Ward identities and their solution, Nucl. Phys. B711, 409 (2005).
  43. G. Mack, D-independent representation of conformal field theories in D dimensions via transformation to auxiliary dual resonance models. scalar amplitudes, arXiv:0907.2407.
  44. J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes, J. High Energy Phys. 03 (2011) 025.
  45. H. Elvang and Y. t. Huang, Scattering amplitudes, arXiv:1308.1697.
  46. L. Rastelli, K. Roumpedakis, and X. Zhou, AdS3×S3 tree-level correlators: Hidden six-dimensional conformal symmetry, J. High Energy Phys. 10 (2019) 140.
  47. S. Giusto, R. Russo, A. Tyukov, and C. Wen, Holographic correlators in AdS3 without Witten diagrams, J. High Energy Phys. 09 (2019) 030.
  48. S. Giusto, R. Russo, A. Tyukov, and C. Wen, The CFT6 origin of all tree-level 4-point correlators in AdS3×S3, Eur. Phys. J. C 80, 736 (2020).
  49. T. Abl, P. Heslop, and A. E. Lipstein, Towards the Virasoro-Shapiro amplitude in AdS5×S5, J. High Energy Phys. 04 (2021) 237.
  50. R. Doobary and P. Heslop, Superconformal partial waves in Grassmannian field theories, J. High Energy Phys. 12 (2015) 159.

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Phys. Rev. D 107, L081901– Published 5 April, 2023
  • Received 2 June 2022
  • Accepted 14 March 2023
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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.

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