2000 character limit reached
Conformal Field Theories in Fractional Dimensions (1309.5089v3)
Published 19 Sep 2013 in hep-th and cond-mat.stat-mech
Abstract: We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of unitary CFTs connecting the 2D Ising model, the 3D Ising model, and the free scalar theory in 4D. We give numerical predictions for the leading operator dimensions and central charge in this family at different values of D and compare these to calculations of phi4 theory in the epsilon-expansion.