• Corpus ID: 245827725

# Precision Bootstrap for the $\mathcal{N}=1$ Super-Ising Model

@inproceedings{Atanasov2022PrecisionBF,
title={Precision Bootstrap for the \$\mathcal\{N\}=1\$ Super-Ising Model},
author={Alexander Atanasov and Aaron Hillman and David Poland and Junchen Rong and Ning Su},
year={2022}
}
• Published 6 January 2022
• Mathematics
In this note we report an improved determination of the scaling dimensions and OPE coefficients of the minimal supersymmetric extension of the 3d Ising model using the conformal bootstrap. We also show how this data can be used as input to the Lorentzian inversion formula, finding good agreement between analytic calculations and numerical extremal spectra once mixing effects are resolved. ar X iv :2 20 1. 02 20 6v 1 [ he pth ] 6 J an 2 02 2

## References

SHOWING 1-10 OF 54 REFERENCES
Bootstrapping the $\cN=1$ SCFT in three dimensions
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
Bootstrapping the Three Dimensional Supersymmetric Ising Model.
• Physics
Physical review letters
• 2015
The conformal bootstrap program for three dimensional conformal field theories with N=2 supersymmetry is implemented and universal constraints on the spectrum of operator dimensions in these theories are found.
The lightcone bootstrap and the spectrum of the 3d Ising CFT
We compute numerically the dimensions and OPE coefficients of several operators in the 3d Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically. Our key tool is a
Precision islands in the Ising and O(N ) models
• Geology
• 2016
A bstractWe make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, O(2), and O(3) models from the conformal bootstrap with
Bootstrapping the minimal 3D SCFT
• Mathematics, Physics
Journal of High Energy Physics
• 2018
A bstractWe study the conformal bootstrap constraints for 3D conformal field theories with a ℤ2 or parity symmetry, assuming a single relevant scalar operator ϵ that is invariant under the symmetry.
Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions
By using the corrections to the asymptotic scaling forms of the fields of the $O(N)$ Gross Neveu model to solve the dressed skeleton Schwinger Dyson equations, we deduce the critical exponent
The leading trajectory in the 2+1D Ising CFT
• Mathematics
• 2020
We study the scattering of lumps in the 2+1-dimensional Ising CFT, indirectly, by analytically continuing its spectrum using the Lorentzian inversion formula. We find evidence that the intercept of
Resummation at finite conformal spin
• Mathematics
Journal of High Energy Physics
• 2019
A bstractWe generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in [1, 2] to arbitrary space-time dimensions. By using
The analytic bootstrap and AdS superhorizon locality
• Mathematics
• 2013
A bstractWe take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of d > 2 dimensional CFTs in an Eikonal-type limit, where the conformal cross ratios satisfy |u| ≪ |υ| < 1.
The Random-Bond Ising Model in 2.01 and 3 Dimensions
• Mathematics
• 2016
We consider the Ising model between 2 and 4 dimensions perturbed by quenched disorder in the strength of the interaction between nearby spins. In the interval 2<d<4 this disorder is a relevant