Breaking of de Sitter Symmetry

Details Breaking of de Sitter Symmetry Breaking of de Sitter Symmetry

2010-11-10

arxiv.org/abs/1011.2241v1

PoS HRMS2010:026,2010

Physics

High Energy Physics

High Energy Physics - Theory

Talk at Quarks, Strings and the Cosmos - H\'{e}ctor Rubinstein Memorial Symposium, August 09-11, 2010 AlbaNova)Stockholm) Swed

Scientific paper

We show that an interacting spin-0 field on a de Sitter space background will break the underlying de Sitter symmetry. This is done first for a (1+1) de Sitter space where a boson-fermion correspondence permits us to solve certain interacting theories by transforming them into free ones of opposite statistics. A massless boson interacting by a sine-Gordon potential is shown to be equivalent to a free massive fermion with the mass depending on the de Sitter time thus breaking the symmetry explicitly. We then show that for larger dimensions and any boson potential, to one loop, an anomaly develops and the currents generating the de Sitter transformations are not conserved.

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