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Poincaré invariant quantum field theories with twisted internal symmetries

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Abstract

Following up the work of [1] on deformed algebras, we present a class of Poincaré 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 (β-deformations) of the \( \mathcal{N}=4 \) SUSY theories.

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Authors and Affiliations

  1. Centre for High Energy Physics, Indian Institute of Science, Bangalore, India

    Rahul Srivastava & Sachindeo Vaidya

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  1. Rahul Srivastava
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  2. Sachindeo Vaidya
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Correspondence to Rahul Srivastava.

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ArXiv ePrint: 1207.5669

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Srivastava, R., Vaidya, S. Poincaré invariant quantum field theories with twisted internal symmetries. J. High Energ. Phys. 2013, 19 (2013). https://doi.org/10.1007/JHEP01(2013)019

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