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Dimensional degression in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:math>
We analyze the pattern of fields in ($d+1$)-dimensional anti-de Sitter space in terms of those in $d$-dimensional anti-de Sitter space. The procedure, which is neither dimensional reduction nor dimensional compactification, is called dimensional degression. The analysis is performed group theoretically for all totally symmetric bosonic and fermionic representations of the …