Spinor-helicity formalism for massive and massless amplitudes in five dimensions

Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik; Roiban, Radu

doi:10.1007/jhep02(2023)040

Spinor-helicity formalism for massive and massless amplitudes in five dimensions

Journal Article · Fri Feb 03 00:00:00 EST 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2023)040· OSTI ID:2417787

Chiodaroli, Marco ^[1]; Günaydin, Murat ^[2]; Johansson, Henrik ^[3]; Roiban, Radu ^[2]

Uppsala Univ. (Sweden); Uppsala Univ. (Sweden)
Pennsylvania State Univ., University Park, PA (United States)
Uppsala Univ. (Sweden); Nordic Institute for Theoretical Physics (NORDITA), Stockholm (Sweden); Stockholm Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden)

Five-dimensional gauge and gravity theories are known to exhibit striking properties. D = 5 is the lowest dimension where massive tensor states appear naturally, providing a testing ground for perturbative insights into six-dimensional tensor theories. Five-dimensional supergravities are highly constrained and admit elegant geometric and algebraic formulations, with global symmetries manifest at the Lagrangian level. In this paper, we take a step towards the systematic investigation of amplitudes in five dimensions, and present a five-dimensional version of the spinor-helicity formalism, applicable to massless, massive and supersymmetric states. We give explicit representations for on-shell spinor and polarization variables such that the little-group symmetry and gauge redundancy are manifest. Massive self-dual tensor states are discussed in some detail, as well as all the on-shell supermultiplets that can appear in matter-coupled gauge and supergravity theories. As a byproduct of considering supersymmetry in the presence of central charge, we obtain massless ten-dimensional Majorana-Weyl spinors as products of five-dimensional massive spinors. We present compact expressions for superamplitudes at multiplicity three and four, including several novel superamplitudes that either do not straightforwardly uplift to six dimensions, or have not appeared in the six-dimensional literature. We discuss several examples of five-dimensional double-copy constructions in the context of gravitational theories with massive vectors and tensors, illustrating that the formalism we construct can also be used to considerably streamline the double-copy construction of $$\mathcal{N}$$ = 2 Maxwell-Einstein supergravities.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: Knut and Alice Wallenberg Foundation (KAW); Swedish Research Council (SRC); USDOE Office of Science (SC)

Grant/Contract Number:: SC0019066

OSTI ID:: 2417787

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Spinor-helicity formalism for massive and massless amplitudes in five dimensions

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