On Dimensional Degression in AdS(d)

Abstract

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 AdS(d+d${}^{\prime }$) and massless spin one-half, spin one, and spin two fields in AdS(d+1). The mass spectra of the resulting towers of fields in AdS(d) 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.

30 pages

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Cited by in corpus (15)

• Quartet unconstrained formulation for massless higher spin fields
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Massive Higher Spins from BRST and Tractors
• Quartet unconstrained formulation for massive higher spin fields
• Towards higher-spin AdS${}_2$/CFT${}_1$ holography
• Cubic interactions of arbitrary spin fields in 3d flat space
• Iterating free-field AdS/CFT: higher spin partition function relations
• Massless and Massive Higher Spins from Anti-de Sitter Space Waveguide
• ADM reduction of Einstein action and black hole entropy
• Conformal self-dual fields
• Light-cone gauge approach to arbitrary spin fields, currents, and shadows
• Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
• Warping, Extra Dimensions and a Slice of AdS_d
• AdS${}_3$/AdS${}_2$ degression of massless particles
• AdS${}_3$/AdS${}_2$ degression of Fronsdal fields