Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Basis, Optical Theorem, and the Bulk Point Singularity   We study general properties of the conformal basis, the space of
wavefunctions in $(d+2)$-dimensional Minkowski space that are primaries of the
Lorentz group $SO(1,d+1)$. Scattering amplitudes written in this basis have the
same symmetry as $d$-dimensional conformal correlators. We translate the
optical theorem, which is a direct consequence of unitarity, into the conformal
basis. In the particular case of a tree-level exchange diagram, the optical
theorem takes the form of a conformal block decomposition on the principal
continuous series, with OPE coefficients being the three-point coupling written
in the same basis. We further discuss the relation between the massless
conformal basis and the bulk point singularity in AdS/CFT. Some three- and
four-point amplitudes in (2+1) dimensions are explicitly computed in this basis
to demonstrate these results.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: supr-con