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We present a collection of numerical bootstrap computations for 3d CFTs witha U(1) global symmetry. We test the accuracy of our method and fix conventionsthrough a computation of bounds on the OPE coefficients for low-lying operatorsin the free fermion, free scalar, and generalised free vector field theories.We then compute new OPE bounds for scalar operators in the Gross-Neveu-Yukawamodel, $O(2)$ model, and large $N$ limit of the $O(N)$ model. Additionally, wepresent a number of exclusion plots for such 3d CFTs. In particular, we look atthe space of even and odd parity scalar operators in the low-lying spectrumthat are compatible with crossing symmetry. As well as recovering the knowntheories, there are some kinks that indicate new unknown theories.

An Atlas for 3d Conformal Field Theories with a U(1) Global Symmetry