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2014

The Super BMS Algebra, Scattering and Holography

Banks, T.

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I propose that the proper framework for gravitational scattering theory is the rep- resentation theory of the super-BMS algebra of Awada, Gibbons and Shaw[1], and its generalizations.

Certain representation spaces of these algebras generalize the Fock space of massless particles.
The algebra is realized in terms of operator valued measures on the momentum space dual to null infinity, and particles correspond to smearing these measures with delta functions.
I conjecture that scattering amplitudes defined in terms of characteristic measures on finite spherical caps, the analog of Sterman-Weinberg jets[2], will have no infrared (IR) divergences.

The Super BMS Algebra, Scattering and Holography · Around

Built on

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S. Mandelstam, “Quantization of the gravitational field,” Annals Phys. 19
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Earlier work this paper cites.
G. F. Sterman and S. Weinberg, “Jets from Quantum Chromodynamics,” Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
M. A. Awada, G. W. Gibbons and W. T. Shaw, “Conformal Supergravity, Twistors And The Super Bms Group,” Annals Phys.171, 52 (1986);
1986
Earlier work this paper cites.

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T. Banks and W. Fischler, “Holographic Theory of Accelerated Observers, the S-matrix, and the Emergence of Effective Field Theory,” arXiv:1301.5924 [hep-th]; T. Banks and W. Fischler, “Holographic Space-time and Newton’s Law,” arXiv:1310.6052 [hep-th]; T. Banks, W. Fischler, S. Kundu and J. F. Pedraza, “Holographic Space-time and Black Holes: Mirages As Alternate Reality,” arXiv:1401.3341 [hep-th]
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Then

N. Arkani-Hamed and J. Trnka, “The Amplituhedron,” arXiv:1312.2007 [hep-th], and references therein
Original
2007
Later among the works it cites.
T. Banks and J. Kehayias, “Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory,” Phys. Rev. D 84
Original
2011
Later among the works it cites.
P.P. Kulish ”Asymptotical states of massive particles interacting with gravitational field” , Teoreticheskaya i Matematicheskaya Fizika, vol.6, N 4, 28 - 35 (1971) / Theoretical and Mathematical Physics ; P.P. Kulish ”Infrared divergences of quantized gravitational field”, Zapiski Nauchnykh Seminarov LOMI, vol.77, 106 - 123 (1978) (English translation: P.P. Kulish, Journal of Soviet Mathematics, vpl. 22, N 5, 1608 - 2620 (1983)); R. Akhoury, R. Saotome and G. Sterman, “Collinear and Soft Divergences in Perturbative Quantum Gravity,” Phys. Rev. D 84
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2013
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Y. Sekino and L. Susskind, “Fast Scramblers,” JHEP 0810
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