(2, 2) Scattering and the celestial torus

Atanasov, Alexander; Ball, Adam; Melton, Walker; Raclariu, Ana-Maria; Strominger, Andrew

doi:10.1007/jhep07(2021)083

(2, 2) Scattering and the celestial torus

Journal Article · Wed Jul 14 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2021)083· OSTI ID:1851019

Atanasov, Alexander ^[1]; Ball, Adam ^[2]; Melton, Walker ^[2]; Raclariu, Ana-Maria ^[3]; Strominger, Andrew ^[2]

Harvard Medical School, Boston, MA (United States). Center for the Fundamental Laws of Nature; Harvard Univ., Cambridge, MA (United States)
Harvard Medical School, Boston, MA (United States). Center for the Fundamental Laws of Nature
Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)

Analytic continuation from Minkowski space to (2, 2) split signature spacetime has proven to be a powerful tool for the study of scattering amplitudes. Here we show that, under this continuation, null infinity becomes the product of a null interval with a celestial torus (replacing the celestial sphere) and has only one connected component. Spacelike and timelike infinity are time-periodic quotients of AdS₃. These three components of infinity combine to an S³ represented as a toric fibration over the interval. Privileged scattering states of scalars organize into SL(2, $$\mathbb{R}$$)_L ×SL(2, $$\mathbb{R}$$)_R conformal primary wave functions and their descendants with real integral or half-integral conformal weights, giving the normally continuous scattering problem a discrete character.

View Accepted Manuscript (DOE)

Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: Gordon and Betty Moore Foundation; John Templeton Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0007870

OSTI ID:: 1851019

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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