Bootstrapping the Three Dimensional Supersymmetric Ising Model.
We implement the conformal bootstrap program for three dimensional conformal field theories with N=2 supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the operator product expansion of a chiral and an antichiral primary, we find a kink at the expected location of the critical three dimensional N=2 Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of the theory, as well as the stress-tensor two-point function. We find that the latter is in an excellent agreement with an exact computation.
Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium.
Nikolay
N
Bobev
Theory Division, CERN, Geneva, Switzerland.|Sorbonne Universités, UPMC Université Paris 06, UMR 7589 LPTHE, F-75005 Paris, France.|CNRS, UMR 7589, LPTHE, 75005 Paris, France.
Sheer
S
El-Showk
Perimeter Institute for Theoretical Physics, Waterloo, N2L 2Y5 Ontario, Canada.
Dalimil
D
Mazáč
Theory Division, CERN, Geneva, Switzerland.
Miguel F
MF
Paulos