Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-13
JHEP 0207 (2002) 005
Physics
High Energy Physics
High Energy Physics - Theory
29 pages; Some references have been added and the discussion on gravity have been removed
Scientific paper
10.1088/1126-6708/2002/07/005
We propose a new form of dimensional reduction that constrains dilatation instead of a component of momentum. It corresponds to replacing toroidal compactification in a Cartesian coordinate with that in the logarithm of the radius. Massive theories in de Sitter or anti de Sitter space are thus produced from massless (scale invariant) theories in one higher space or time dimension. As an example, we derive free massive actions for arbitrary representations of the (anti) de Sitter group in arbitrary dimensions. (Previous general results were restricted to symmetric tensors.) We also discuss generalizations to interacting theories.
Biswas Tirthabir
Siegel Warren
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