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Article Dans Une Revue Journal of High Energy Physics Année : 2018

Radial coordinates for defect CFTs

Résumé

We study the two-point function of local operators in the presence of a defect in a generic conformal field theory. We define two pairs of cross ratios, which are convenient in the analysis of the OPE in the bulk and defect channel respectively. The new coordinates have a simple geometric interpretation, which can be exploited to efficiently compute conformal blocks in a power expansion. We illustrate this fact in the case of scalar external operators. We also elucidate the convergence properties of the bulk and defect OPE decompositions of the two-point function. In particular, we remark that the expansion of the two-point function in powers of the new cross ratios converges everywhere, a property not shared by the cross ratios customarily used in defect CFT. We comment on the crucial relevance of this fact for the numerical bootstrap.
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Dates et versions

hal-01945030 , version 1 (02-05-2024)

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Edoardo Lauria, Marco Meineri, Emilio Trevisani. Radial coordinates for defect CFTs. Journal of High Energy Physics, 2018, 11, pp.148. ⟨10.1007/JHEP11(2018)148⟩. ⟨hal-01945030⟩
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