(2, 2) Scattering and the celestial torus
Abstract
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, &R;)L×SL(2, &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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- July 2021
- DOI:
- 10.1007/JHEP07(2021)083
- arXiv:
- arXiv:2101.09591
- Bibcode:
- 2021JHEP...07..083A
- Keywords:
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- Scattering Amplitudes;
- Space-Time Symmetries;
- High Energy Physics - Theory
- E-Print:
- 19 pages, 1 figure