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Noncommutative geometry, symmetries and quantum structure of space-time

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, , Citation T R Govindarajan et al 2011 J. Phys.: Conf. Ser. 306 012019 DOI 10.1088/1742-6596/306/1/012019

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1 Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India

2 Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India

3 School of Physics, University of Hyderabad, Hyderabad 500046, India

4 Rudjer Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia

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1742-6596/306/1/012019

Abstract

We discuss how space-time noncommutativity affects the symmetry groups and particle statistics. Assuming that statistics is superselected under a symmetry transformation, we argue that the corresponding flip operator must be twisted. It is argued that the twisted statistics naturally leads to a deformed oscillator algebra for scalar fields in such a background.

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10.1088/1742-6596/306/1/012019