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S. Albayrak, D. Meltzer, and D. Poland, “More Analytic Bootstrap: Nonperturbative Effects and Fermions,” JHEP
Original
1904
Earlier work this paper cites.
W. Li, “Closed-form expression for cross-channel conformal blocks near the lightcone,” JHEP
Original
1906
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, “Scaling the semidefinite program solver SDPB,” arXiv:1909.09745 [hep-th]
Original
1909
Earlier work this paper cites.
S. M. Chester, W. Landry, J. Liu, D. Poland, D. Simmons-Duffin, N. Su, and A. Vichi, “Carving out OPE space and precise O ⁡ ( 2 ) O(2) model critical exponents,” JHEP
Original
1912
Earlier work this paper cites.
W. Li, “Lightcone expansions of conformal blocks in closed form,” JHEP
Original
1912
Earlier work this paper cites.
A. Hasenfratz, P. Hasenfratz, K. Jansen, J. Kuti, and Y. Shen, “The Equivalence of the top quark condensate and the elementary Higgs field,” Nucl. Phys. B
1991
Earlier work this paper cites.
J. Zinn-Justin, “Four fermion interaction near four-dimensions,” Nucl. Phys. B
1991
Earlier work this paper cites.
J. A. Gracey, “Calculation of exponent eta to O( 1 / N 2 1/N^{2} ) in the O(N) Gross-Neveu model,” Int. J. Mod. Phys. A
1991
Earlier work this paper cites.
J. A. Gracey, “Anomalous mass dimension at O( 1 / N 2 1/N^{2} ) in the O(N) Gross-Neveu model,” Phys. Lett. B
1992
Earlier work this paper cites.
J. A. Gracey, “Computation of Beta-prime (g(c)) at O( 1 / N 2 1/N^{2} ) in the O(N) Gross-Neveu model in arbitrary dimensions,” Int. J. Mod. Phys. A
1994
Earlier work this paper cites.
L. Karkkainen, R. Lacaze, P. Lacock, and B. Petersson, “Critical behavior of the three-dimensional Gross-Neveu and Higgs-Yukawa models,” Nucl. Phys. B
1995
Earlier work this paper cites.
J. Borwein, P. Borwein, S. Plouffe, A. Tuyl, P. Irvine, L. Jörgenson, D. Bailey, and Y. Kanada, “Inverse symbolic calculator,” 1995
1995
Earlier work this paper cites.
I. F. Herbut, “Interactions and phase transitions on graphene’s honeycomb lattice,” Phys. Rev. Lett
2006
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Comments on operators with large spin,” JHEP
Original
2007
Earlier work this paper cites.
S. Caron-Huot, Y. Gobeil, and Z. Zahraee, “The leading trajectory in the 2+1D Ising CFT,” arXiv:2007.11647 [hep-th]
Original
2007
Earlier work this paper cites.
A. L. Fitzpatrick and J. Kaplan, “Unitarity and the Holographic S-Matrix,” JHEP
Original
2012
Earlier work this paper cites.
W. Li, “Factorized lightcone expansion of conformal blocks,” JHEP
Original
2012
Earlier work this paper cites.

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Then

S. Caron-Huot, “Analyticity in Spin in Conformal Theories,” JHEP
Original
2017
Later among the works it cites.
M. Cornagliotto, M. Lemos, and V. Schomerus, “Long Multiplet Bootstrap,” JHEP
Original
2017
Later among the works it cites.
Z. Komargodski and D. Simmons-Duffin, “The Random-Bond Ising Model in 2.01 and 3 Dimensions,” J. Phys. A
Original
2017
Later among the works it cites.
A. Atanasov, A. Hillman, and D. Poland, “Bootstrapping the Minimal 3D SCFT,” JHEP
Original
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Later among the works it cites.
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Original

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2022

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

Atanasov, Alexander, Hillman, Aaron, Poland, David et al.

Understand

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.

Built on

S. Albayrak, D. Meltzer, and D. Poland, “More Analytic Bootstrap: Nonperturbative Effects and Fermions,” JHEP
Original
1904
Earlier work this paper cites.
W. Li, “Closed-form expression for cross-channel conformal blocks near the lightcone,” JHEP
Original
1906
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, “Scaling the semidefinite program solver SDPB,” arXiv:1909.09745 [hep-th]
Original
1909
Earlier work this paper cites.
S. M. Chester, W. Landry, J. Liu, D. Poland, D. Simmons-Duffin, N. Su, and A. Vichi, “Carving out OPE space and precise O ⁡ ( 2 ) O(2) model critical exponents,” JHEP
Original
1912
Earlier work this paper cites.
W. Li, “Lightcone expansions of conformal blocks in closed form,” JHEP
Original
1912
Earlier work this paper cites.
A. Hasenfratz, P. Hasenfratz, K. Jansen, J. Kuti, and Y. Shen, “The Equivalence of the top quark condensate and the elementary Higgs field,” Nucl. Phys. B
1991
Earlier work this paper cites.
J. Zinn-Justin, “Four fermion interaction near four-dimensions,” Nucl. Phys. B
1991
Earlier work this paper cites.
J. A. Gracey, “Calculation of exponent eta to O( 1 / N 2 1/N^{2} ) in the O(N) Gross-Neveu model,” Int. J. Mod. Phys. A
1991
Earlier work this paper cites.
J. A. Gracey, “Anomalous mass dimension at O( 1 / N 2 1/N^{2} ) in the O(N) Gross-Neveu model,” Phys. Lett. B
1992
Earlier work this paper cites.
J. A. Gracey, “Computation of Beta-prime (g(c)) at O( 1 / N 2 1/N^{2} ) in the O(N) Gross-Neveu model in arbitrary dimensions,” Int. J. Mod. Phys. A
1994
Earlier work this paper cites.
L. Karkkainen, R. Lacaze, P. Lacock, and B. Petersson, “Critical behavior of the three-dimensional Gross-Neveu and Higgs-Yukawa models,” Nucl. Phys. B
1995
Earlier work this paper cites.
J. Borwein, P. Borwein, S. Plouffe, A. Tuyl, P. Irvine, L. Jörgenson, D. Bailey, and Y. Kanada, “Inverse symbolic calculator,” 1995
1995
Earlier work this paper cites.
I. F. Herbut, “Interactions and phase transitions on graphene’s honeycomb lattice,” Phys. Rev. Lett
2006
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Comments on operators with large spin,” JHEP
Original
2007
Earlier work this paper cites.
S. Caron-Huot, Y. Gobeil, and Z. Zahraee, “The leading trajectory in the 2+1D Ising CFT,” arXiv:2007.11647 [hep-th]
Original
2007
Earlier work this paper cites.
A. L. Fitzpatrick and J. Kaplan, “Unitarity and the Holographic S-Matrix,” JHEP
Original
2012
Earlier work this paper cites.
W. Li, “Factorized lightcone expansion of conformal blocks,” JHEP
Original
2012
Earlier work this paper cites.