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Title: Bootstrapping the Three Dimensional Supersymmetric Ising Model

Here, 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.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Katholieke Univ. Leuven (Belgium). Inst. for Theoretical Physics
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division; Paris-Sorbonne and Pierre-and-Marie Curie (UPMC) Univ., CNRS, UMR, Paris (France). Lab. of Theoretical Physics and High Energy (LPTHE)
  3. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  4. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
Publication Date:
Grant/Contract Number:
SC0010010; BOF/STG/14/032; PIEF-GA-2013-623606
Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 5; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Sponsoring Org:
USDOE; European Commission (EC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1204685
Alternate Identifier(s):
OSTI ID: 1454599