We elaborate on the ambient space approach to boundary values of A d S d + 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.
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机译：我们详细介绍了A d S d + 1规范场的边界值的环境空间方法，并将其应用于混合对称类型的无质量场。在奇数维体最有趣的情况下，各自的前导边界值是服从不变方程的共形规范场。我们的方法为这些领域提供了明显的保形和规范协变公式。尽管这样的配方使用了许多辅助领域，但要消除它们却需要系统的程序，从而导致仅涉及一组合理的助剂的更简洁的配方，最终（至少在原则上）可以减少到最小的配方。不可约洛伦兹张量。在某些细节中，考虑了最简单的混合对称字段，即与两行杨氏图相关的3级张量。
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