Conformal constraints on defects
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Publication:2185263
DOI10.1007/JHEP01(2020)038zbMATH Open1434.81101arXiv1602.06354WikidataQ126385433 ScholiaQ126385433MaRDI QIDQ2185263
Author name not available (Why is that?)
Publication date: 4 June 2020
Published in: (Search for Journal in Brave)
Abstract: In this paper we study the constraints imposed by conformal invariance on extended objects a.k.a defects in a conformal field theory. We identify a particularly nice class of defects that is closed under conformal transformations. Correlation function of the defect with a bulk local operator is fixed by conformal invariance up to an overall constant. This gives rise to the notion of defect expansion, where the defect itself is expanded in terms of local operators. This expansion generalizes the idea of the boundary state. We will show how one can fix the correlation function of two defects from the knowledge of the defect expansion. The defect correlator admits a number of conformal cross-ratios depending on their dimensionality. We find the differential equation obeyed by the conformal block and solve them in certain special cases.
Full work available at URL: https://arxiv.org/abs/1602.06354
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