TY - JOUR

T1 - Higher-spin Yang–Mills, amplitudes and self-duality

AU - Adamo, Tim

AU - Tran, Tung

N1 - Funding Information:
We thank Yannick Herfray, Kirill Krasnov, Zhenya Skvortsov and Harold Steinacker for helpful discussions and Zhenya Skvortsov for comments on a draft. TT is grateful to the Asia Pacific Center for Theoretical Physics (APCTP) for hospitality during the mini workshop “Higher Spin Gravity and its Applications” during which the final version of this work was completed. TA is supported by a Royal Society University Research Fellowship and by the Leverhulme Trust (RPG-2020-386). The work of TT is partially supported by the Fonds de la Recherche Scientifique under Grants No. F.4503.20 (HighSpinSymm), Grant No. 40003607 (HigherSpinGraWave), T.0022.19 (Fundamental issues in extended gravitational theories) and the funding from the European Research Council (ERC) under Grant No. 101002551.
Funding Information:
We thank Yannick Herfray, Kirill Krasnov, Zhenya Skvortsov and Harold Steinacker for helpful discussions and Zhenya Skvortsov for comments on a draft. TT is grateful to the Asia Pacific Center for Theoretical Physics (APCTP) for hospitality during the mini workshop “Higher Spin Gravity and its Applications” during which the final version of this work was completed. TA is supported by a Royal Society University Research Fellowship and by the Leverhulme Trust (RPG-2020-386). The work of TT is partially supported by the Fonds de la Recherche Scientifique under Grants No. F.4503.20 (HighSpinSymm), Grant No. 40003607 (HigherSpinGraWave), T.0022.19 (Fundamental issues in extended gravitational theories) and the funding from the European Research Council (ERC) under Grant No. 101002551.
Publisher Copyright:
© 2023, The Author(s).

PY - 2023/4/28

Y1 - 2023/4/28

N2 - The existence of interacting higher-spin theories is tightly constrained by many no-go theorems. In this paper, we construct a chiral, higher-spin generalization of Yang–Mills theory in flat space which avoids these no-go theorems and has non-trivial tree-level scattering amplitudes with some higher-spin external legs. The fields and action are complex, so the theory is non-unitary and parity-violating, yet we find surprisingly compact formulae for all-multiplicity tree-level scattering amplitudes in the maximal helicity violating (MHV) sector, where the two negative helicity particles have identical but arbitrary spin. This is possible because the theory admits a perturbative expansion around its self-dual sector. Using twistor theory, we prove the classical integrability of this self-dual sector and show that it can be described on spacetime by an infinite tower of interacting massless scalar fields. We also give a twistor construction of the full theory and use it to derive the formula for the MHV amplitude.

AB - The existence of interacting higher-spin theories is tightly constrained by many no-go theorems. In this paper, we construct a chiral, higher-spin generalization of Yang–Mills theory in flat space which avoids these no-go theorems and has non-trivial tree-level scattering amplitudes with some higher-spin external legs. The fields and action are complex, so the theory is non-unitary and parity-violating, yet we find surprisingly compact formulae for all-multiplicity tree-level scattering amplitudes in the maximal helicity violating (MHV) sector, where the two negative helicity particles have identical but arbitrary spin. This is possible because the theory admits a perturbative expansion around its self-dual sector. Using twistor theory, we prove the classical integrability of this self-dual sector and show that it can be described on spacetime by an infinite tower of interacting massless scalar fields. We also give a twistor construction of the full theory and use it to derive the formula for the MHV amplitude.

UR - https://doi.org/10.1007/s11005-023-01673-z

U2 - 10.1007/s11005-023-01673-z

DO - 10.1007/s11005-023-01673-z

M3 - Article

SN - 0377-9017

VL - 113

JO - Letters in mathematical physics

JF - Letters in mathematical physics

IS - 3

M1 - 50

ER -