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Review of twisted Poincaré symmetry

Balachandran, AP and Kürkçüoǧlu, Seckin, S and Vaidya, S (2023) Review of twisted Poincaré symmetry. In: European Physical Journal: Special Topics .

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Official URL: https://doi.org/10.1140/epjs/s11734-023-00836-2


his article reviews the construction and some applications of twisted Poincare-covariant quantum fields on the Moyal plane. The Drinfel’d twist, which plays a key mathematical role in this construction, is then applied to the case of discrete groups, with a view to applications to geons in quantum gravity. The Poincaré-twisted fields can also be applied to study the CMB anisotropies, and corrections to the power spectrum are used to put constraints on spacetime noncommutativity. The article also addresses the issue of the difference between Moyal and Voros quantum fields. Finally, it is pointed out that the Euclidean functional integrals of QFTs on the Moyal plane do not, in general, obey reflection positivity.

Item Type: Journal Article
Publication: European Physical Journal: Special Topics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to the Springer Science and Business Media Deutschland GmbH.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 15 Jul 2023 07:10
Last Modified: 15 Jul 2023 07:10
URI: https://eprints.iisc.ac.in/id/eprint/82479

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