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The constraints of conformal bootstrap are applied to investigate a set ofconformal field theories in various dimensions. The prescriptions can beapplied to both unitary and non unitary theories allowing for the study of thespectrum of low-lying primary operators of the theory. We evaluate the lowestscaling dimensions of the local operators associated with the Yang-Lee edgesingularity for $2 \le D \le 6$. Likewise we obtain the scaling dimensions ofsix scalars and four spinning operators for the 3d critical Ising model. Ourfindings are in agreement with existing results to a per mill precision andestimate several new exponents.

Critical exponents of the 3d Ising and related models from Conformal Bootstrap