Fermion conformal bootstrap in 4d
From MaRDI portal
Publication:2314944
DOI10.1007/JHEP06(2019)088zbMATH Open1416.81158arXiv1902.05969WikidataQ127631738 ScholiaQ127631738MaRDI QIDQ2314944
Author name not available (Why is that?)
Publication date: 30 July 2019
Published in: (Search for Journal in Brave)
Abstract: We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients, including bounds on operators in mixed symmetry representations of the Lorentz group, which were inaccessible in previous bootstrap studies. We find discontinuities in some of the bounds on operator dimensions, and we show that they arise due to a generic yet previously unobserved fake primary effect, which is related to the existence of poles in conformal blocks. We show that this effect is also responsible for similar discontinuities found in four-fermion bootstrap in 3d, as well as in the mixed-correlator analysis of the 3d Ising CFT. As an important byproduct of our work, we develop a practical technology for numerical approximation of general 4d conformal blocks.
Full work available at URL: https://arxiv.org/abs/1902.05969
No records found.
No records found.
This page was built for publication: Fermion conformal bootstrap in 4d
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2314944)
