Celestial Klein spaces

Bhattacharjee, B and Krishnan, C (2022) Celestial Klein spaces. In: Physical Review D, 106 (10).

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Abstract

We consider the analytic continuation of (p+q)-dimensional Minkowski space (with p and q even) to (p,q) signature, and study the conformal boundary of the resulting "Klein space."Unlike the familiar (-+++ ») signature, now the null infinity I has only one connected component. The spatial and timelike infinities (i0 and i′) are quotients of generalizations of AdS spaces to nonstandard signature. Together, I, i0, and i′ combine to produce the topological boundary Sp+q-1 as an Sp-1×Sq-1 fibration over a null segment. The highest weight states (the L-primaries) and descendants of SO(p,q) with integral weights give rise to natural scattering states. One can also define H-primaries which are highest weight with respect to a signature-mixing version of the Cartan-Weyl generators that leave a point on the celestial Sp-1×Sq-1 fixed. These correspond to massless particles that emerge at that point and are Mellin transforms of plane wave states. © 2022 authors. Published by the American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review D
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to the Authors.
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	24 Jan 2023 11:28
Last Modified:	24 Jan 2023 11:28
URI:	https://eprints.iisc.ac.in/id/eprint/79131

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