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 ex...

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Bibliographic Details
Published in:Physical review letters 2015-07, Vol.115 (5), p.051601-051601, Article 051601
Main Authors: Bobev, Nikolay, El-Showk, Sheer, Mazáč, Dalimil, Paulos, Miguel F
Format: Article
Language:English
Subjects:
Field theory
Ising model
Mathematical analysis
Mathematical models
Operators
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Scalars
Supersymmetry
Three dimensional
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.115.051601