Poincare invariant quantum field theories with twisted internal symmetries

Srivastava, Rahul and Vaidya, Sachindeo (2013) Poincare invariant quantum field theories with twisted internal symmetries. In: JOURNAL OF HIGH ENERGY PHYSICS (1).

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Abstract

Following up the work of 1] on deformed algebras, we present a class of Poincare invariant quantum field theories with particles having deformed internal symmetries. The twisted quantum fields discussed in this work satisfy commutation relations different from the usual bosonic/fermionic commutation relations. Such twisted fields by construction are nonlocal in nature. Despite this nonlocality we show that it is possible to construct interaction Hamiltonians which satisfy cluster decomposition principle and are Lorentz invariant. We further illustrate these ideas by considering global SU(N) symmetries. Specifically we show that twisted internal symmetries can provide a natural-framework for the discussion of the marginal deformations (beta-deformations) of the N = 4 SUSY theories.

Item Type:	Journal Article
Publication:	JOURNAL OF HIGH ENERGY PHYSICS
Publisher:	SPRINGER
Additional Information:	Copyright for this article belongs to the SPRINGER,USA.
Keywords:	Quantum Groups; Non-Commutative Geometry; Global Symmetries
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	08 Apr 2013 09:15
Last Modified:	08 Apr 2013 09:15
URI:	http://eprints.iisc.ac.in/id/eprint/46336

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