On Dimensional Degression in AdSd
نویسنده
چکیده
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 anti-de Sitter algebra. The field-theoretical analysis is done for a massive scalar field in AdSd+d′ and massless spin one-half, spin one, and spin two fields in AdSd+1. The mass spectra of the resulting towers of fields in AdSd are found. For the scalar field case, the obtained results extend to the shadow sector those obtained by Metsaev in [1] by a different method. [email protected] [email protected]
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تاریخ انتشار 2008