Abstract
In a recent letter we suggested a natural generalization of the flat-space spinor-helicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For lower-spin fields we also derive potentials associated with the previously found plane-wave solutions for field strengths. We then employ these potentials to evaluate some three-point amplitudes. This analysis illustrates a typical computation of an amplitude without internal lines in our formalism.
Highlights
In a recent letter we suggested a natural generalization of the flat-space spinorhelicity formalism in four dimensions to anti-de Sitter space
In a recent letter [52] we suggested a natural spinor-helicity formalism in AdS4 and made first steps in developing it
In the present paper we proposed the AdS counterpart of the flat spinor-helicity representation for the potentials
Summary
In recent years significant progress was achieved in amplitudes’ computations as well as in understanding of various hidden structures underlying them. The analysis further complicates for spinning fields due to proliferation of tensor indices This begs the question: is there any natural generalization of the spinor-helicity formalism to AdS space, which allows to deal with amplitudes of massless fields as efficiently as in flat space?. Additional motivation to address this question is related to higher-spin theories It was discovered recently [11, 34] that the spinor-helicity formalism allows to construct additional consistent cubic amplitudes compared to those available within the framework that employs Lorentz tensors. Unlike amplitudes we computed previously, for which essential simplification occurred due to conformal invariance of the associated vertices or due to the possibility to express them in terms of field strengths, in the present paper we deal with the cases, in which no such simplifications occur These examples, illustrate a genuine computation of a three-point amplitude using the spinor-helicity formalism in AdS4. The paper has a number of appendices, in which we collect our notations and present various technical results
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