Character Formulae and Partition Functions in Higher Dimensional Conformal Field Theory

Details Character Formulae and Partition Functions in Higher Dimensional Conformal Field Theory Character Formulae and Partition Functions in Higher Dimensional Conformal Field Theory

2005-08-05

arxiv.org/abs/hep-th/0508031v2

J.Math.Phys. 47 (2006) 062303

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, uses harvmac,version 2 2 references added, minor typos corrected

Scientific paper

10.1063/1.2196241

A discussion of character formulae for positive energy unitary irreducible representations of the the conformal group is given, employing Verma modules and Weyl group reflections. Product formulae for various conformal group representations are found. These include generalisations of those found by Flato and Fronsdal for SO(3,2). In even dimensions the products for free representations split into two types depending on whether the dimension is divisible by four or not.

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