Contractions from grading

Krishnan, Chethan and Raju, Avinash (2018) Contractions from grading. In: JOURNAL OF MATHEMATICAL PHYSICS, 59 (4).

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Abstract

We note that large classes of contractions of algebras that arise in physics can be understood purely algebraically via identifying appropriate Z(m)-gradings (and their generalizations) on the parent algebra. This includes various types of flat space/Carroll limits of finite and infinite dimensional (A) dS algebras, as well as Galilean and Galilean conformal algebras. Our observations can be regarded as providing a natural context for the Grassmann approach of Krishnan et al. J. High Energy Phys. 2014(3), 36]. We also introduce a related notion, which we call partial grading, that arises naturally in this context. Published by AIP Publishing.

Item Type:	Journal Article
Publication:	JOURNAL OF MATHEMATICAL PHYSICS
Publisher:	AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Additional Information:	Copy right for this article belong to AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	17 May 2018 18:27
Last Modified:	17 May 2018 18:27
URI:	http://eprints.iisc.ac.in/id/eprint/59881

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