Boundary values of mixed-symmetry massless fields in AdS space
We elaborate on the ambient space approach to boundary values of AdSd+1 gauge fields and apply it to massless fields of mixed-symmetry type. In the most interesting case of odd-dimensional bulk the respective leading boundary values are conformal gauge fields subject to the invariant equations. Our approach gives a manifestly conformal and gauge covariant formulation for these fields. Although such formulation employs numerous auxiliary fields, it comes with a systematic procedure for their elimination that results in a more concise formulation involving only a reasonable set of auxiliaries, which eventually (at least in principle) can be reduced to the minimal formulation in terms of the irreducible Lorentz tensors. The simplest mixed-symmetry field, namely, the rank-3 tensor associated to the two-row Young diagram, is considered in some details.
Nuclear Physics B
- Pub Date:
- December 2016
- High Energy Physics - Theory
- 29 pages, v2: minor corrections, references added, to appear in Nucl. Phys. B