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2013

Bootstrapping the $\cN=1$ SCFT in three dimensions

Bashkirov, Denis

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We suggest a way to implement conformal bootstrap program for the case of the ${\cal N}=1$ SCFT in three dimensions using the previous analysis of the Ising model in \cite{CB}.

We find approximate values for the conformal dimensions of several operators and the central charge $C_T$, the coefficient in the two-point function of the stress-tensor.
Bootstrapping this particular (minimal) SCFT is of special interest as it was suggested in \cite{CM} that it may realize supersymmetry in 2+1 dimensions in experiment.
The values are in a good agreement with the previous estimate in \cite{CM}.

Bootstrapping the $\cN=1$ SCFT in three dimensions · Around

Built on

Jeong-Hyuck Park, “Superconformal Symmetry in Three-dimensions ,” J.Math.Phys. 41
Original
2000
Earlier work this paper cites.

Similar

Ashvin Vishwanath, “Emergent Supersymmetry on the Surface of a Topological Phase,” string/CMT group meeting at Perimter Institute, August 2nd, 2013; Tarun Grover, D. N. Sheng, Ashvin Vishwanath, “Emergent Space-time Supersymmetry at the Boundary of a Topological Phase,” [arXiv:1301.7449]
Original
2013
Cited alongside, same era.
Sheer El-Showk, Miguel F. Paulos, David Poland, Slava Rychkov, David Simmons-Duffin, Alessandro Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” [arXiv:1203.6064[hep-th]]
Original
Cited in the paper.
Filip Kos, David Poland, David Simmons-Duffin, “Bootstrapping the O(N) Vector Models,” [arXiv:1307.6856[hep-th]]
Original
Cited in the paper.

Then

David Poland, Slava Rychkov, David Simmons-Duffin, “Bounds on 4D Conformal and Superconformal Field Theories,” JHEP 1105
Original
2087
Closest in time.

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