Character formulae and partition functions in higher dimensional conformal field theory

Dolan, F.A.

doi:10.1063/1.2196241

Character formulae and partition functions in higher dimensional conformal field theory

F.A. Dolan
(
- Cambridge U., DAMTP
)

Aug, 2005

44 pages

Published in:

J.Math.Phys. 47 (2006) 062303

e-Print:

hep-th/0508031 [hep-th]

DOI:

10.1063/1.2196241

Report number:

DAMTP-05-69

View in:

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Abstract:

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.

11.30.Hv
11.15.-q
02.20.-a
11.25.Hf
conformal field theory
unitary symmetry
SO groups
Yang-Mills theory
field theory: conformal
any-dimensional

References(20)

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