Large N critical exponents for the chiral Heisenberg Gross-Neveu universality class

We compute the large N critical exponents eta, eta phi and 1/nu in d dimensions in the chiral Heisenberg Gross-Neveu model to several orders in powers of 1 /N. Forinstance, the large N conformal bootstrap method is used to determine eta at O(1/N-3)OwhiN the other exponents are computed to 0(1 /N-2).O Estimates of the exponents for a phase transition in graphene are given which are shown to be commensurate with other approaches. In particular the behavior of the exponents in 2 < d < 4 is in qualitative agreement with a functional renormalization group analysis. The epsilon expansion of each exponent near four dimensions is in exact agreement with recent four loop perturbation theory.