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 WessZumino 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 lowlying spectrum of operator dimensions of the theory, as well as the stresstensor twopoint function. We find that the latter is in an excellent agreement with an exact computation.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Katholieke Univ. Leuven (Belgium). Inst. for Theoretical Physics
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division; ParisSorbonne and PierreandMarie Curie (UPMC) Univ., CNRS, UMR, Paris (France). Lab. of Theoretical Physics and High Energy (LPTHE)
 Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
 Publication Date:
 Grant/Contract Number:
 SC0010010; BOF/STG/14/032; PIEFGA2013623606
 Type:
 Published Article
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 115; Journal Issue: 5; Journal ID: ISSN 00319007
 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
Bobev, Nikolay, ElShowk, Sheer, Mazac, Dalimil, and Paulos, Miguel F. Bootstrapping the Three Dimensional Supersymmetric Ising Model. United States: N. p.,
Web. doi:10.1103/PhysRevLett.115.051601.
Bobev, Nikolay, ElShowk, Sheer, Mazac, Dalimil, & Paulos, Miguel F. Bootstrapping the Three Dimensional Supersymmetric Ising Model. United States. doi:10.1103/PhysRevLett.115.051601.
Bobev, Nikolay, ElShowk, Sheer, Mazac, Dalimil, and Paulos, Miguel F. 2015.
"Bootstrapping the Three Dimensional Supersymmetric Ising Model". United States.
doi:10.1103/PhysRevLett.115.051601.
@article{osti_1204685,
title = {Bootstrapping the Three Dimensional Supersymmetric Ising Model},
author = {Bobev, Nikolay and ElShowk, Sheer and Mazac, Dalimil and Paulos, Miguel F.},
abstractNote = {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 WessZumino 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 lowlying spectrum of operator dimensions of the theory, as well as the stresstensor twopoint function. We find that the latter is in an excellent agreement with an exact computation.},
doi = {10.1103/PhysRevLett.115.051601},
journal = {Physical Review Letters},
number = 5,
volume = 115,
place = {United States},
year = {2015},
month = {7}
}