4D scattering amplitudes and asymptotic symmetries from 2D CFT

Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman

doi:10.1007/JHEP01(2017)112

Title: 4D scattering amplitudes and asymptotic symmetries from 2D CFT

Journal Article · 25 January 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP01(2017)112 · OSTI ID:1360787

Cheung, Clifford ^[1]; de la Fuente, Anton ^[2]; Sundrum, Raman ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; DOE/OSTI
Univ. of Maryland, College Park, MD (United States). Dept. of Physics

We reformulate the scattering amplitudes of 4D at space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as infinite-dimensional Kac-Moody and Virasoro algebras encoding the asymptotic symmetries of 4D at space. We derive these results by recasting 4D dynamics in terms of a convenient foliation of flat space into 3D Euclidean AdS and Lorentzian dS geometries. Tree-level scattering amplitudes take the form of Witten diagrams for a continuum of (A)dS modes, which are in turn equivalent to CFT correlators via the (A)dS/CFT dictionary. The Ward identities for the 2D conserved currents are dual to 4D soft theorems, while the bulk-boundary propagators of massless (A)dS modes are superpositions of the leading and subleading Weinberg soft factors of gauge theory and gravity. In general, the massless (A)dS modes are 3D Chern-Simons gauge fields describing the soft, single helicity sectors of 4D gauge theory and gravity. Consistent with the topological nature of Chern-Simons theory, Aharonov-Bohm effects record the \tracks" of hard particles in the soft radiation, leading to a simple characterization of gauge and gravitational memories. Soft particle exchanges between hard processes define the Kac-Moody level and Virasoro central charge, which are thereby related to the 4D gauge coupling and gravitational strength in units of an infrared cutoff. Lastly, we discuss a toy model for black hole horizons via a restriction to the Rindler region.

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Research Organization:: California Inst. of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Contributing Organization:: Univ. of Maryland, College Park, MD (United States)

Grant/Contract Number:: SC0010255

OSTI ID:: 1360787

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Title: 4D scattering amplitudes and asymptotic symmetries from 2D CFT

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