Precision bootstrap for the $\mathcal{N}$ = 1 super-Ising model

Atanasov, Alexander; Hillman, Aaron; Poland, David; Rong, Junchen; Su, Ning

doi:10.1007/jhep08(2022)136

Title: Precision bootstrap for the $$\mathcal{N}$$ = 1 super-Ising model

Abstract

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.

Authors:

^[1];

^[2]; Poland, David ^[3];

^[4]; Su, Ning ^[5]

Harvard University, Cambridge, MA (United States)
Princeton University, NJ (United States)
Yale University, New Haven, CT (United States)
Institut des Hautes Études Scientifiques, Bures-sur-Yvette (France)
University of Pisa (Italy)

Publication Date:: Fri Aug 12 00:00:00 EDT 2022

Research Org.:: Yale Univ., New Haven, CT (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Simons Foundation; Institut des Hautes Études Scientifiques (IHES); German Research Foundation (DFG); Hertz and NDSEG Fellowships; European Research Council (ERC)

OSTI Identifier:: 1976514

Grant/Contract Number:: SC0017660; SC0020318; 488651; 758903

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2022; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; conformal and w symmetry; nonperturbative effects; scale and conformal symmetries; supersymmetry and duality

Citation Formats


                    Atanasov, Alexander, Hillman, Aaron, Poland, David, Rong, Junchen, and Su, Ning. Precision bootstrap for the $\mathcal{N}$ = 1 super-Ising model.  United States: N. p., 2022. 
Web.  doi:10.1007/jhep08(2022)136.

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                    Atanasov, Alexander, Hillman, Aaron, Poland, David, Rong, Junchen, & Su, Ning. Precision bootstrap for the $\mathcal{N}$ = 1 super-Ising model.  United States.  https://doi.org/10.1007/jhep08(2022)136

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                    Atanasov, Alexander, Hillman, Aaron, Poland, David, Rong, Junchen, and Su, Ning. Fri .  
"Precision bootstrap for the $\mathcal{N}$ = 1 super-Ising model".  United States.  https://doi.org/10.1007/jhep08(2022)136.  https://www.osti.gov/servlets/purl/1976514.

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@article{osti_1976514,

  title        = {Precision bootstrap for the $\mathcal{N}$ = 1 super-Ising model},

  author       = {Atanasov, Alexander and Hillman, Aaron and Poland, David and Rong, Junchen and Su, Ning},

  abstractNote = {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.},

  doi          = {10.1007/jhep08(2022)136},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 8,

  volume       = 2022,

  place        = {United States},

  year         = {Fri Aug 12 00:00:00 EDT 2022},

  month        = {Fri Aug 12 00:00:00 EDT 2022}

}

Copy to clipboard

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Title: Precision bootstrap for the $$\mathcal{N}$$ = 1 super-Ising model

Abstract

Citation Formats

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Anomalous mass dimension at O(1/N2) in the O(N) Gross-Neveu model journal, December 1992

Bootstrapping Conformal Field Theories with the Extremal Functional Method journal, December 2013

Critical behaviour of the three-dimensional Gross-Neveu and Higgs-Yukawa models journal, March 1994

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Bootstrapping the minimal 3D SCFT journal, November 2018

Fermion bag approach to Hamiltonian lattice field theories in continuous time journal, December 2017

Four-fermion interaction near four dimensions journal, December 1991

Quantum critical behavior in three dimensional lattice Gross-Neveu models journal, July 2013

Unitarity and the holographic S-Matrix journal, October 2012

Resummation at finite conformal spin journal, January 2019

The lightcone bootstrap and the spectrum of the 3d Ising CFT journal, March 2017

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The random-bond Ising model in 2.01 and 3 dimensions journal, March 2017

d-dimensional SYK, AdS loops, and 6j symbols journal, March 2019

CALCULATION OF EXPONENT η TO O(1/N2) IN THE O(N) GROSS NEVEU MODEL journal, January 1991

A spacetime derivation of the Lorentzian OPE inversion formula journal, July 2018

On ${C}_{J}$ and ${C}_{T}$ in the Gross–Neveu and O ( N ) models journal, September 2016

Gravitational S-matrix from CFT dispersion relations journal, December 2018

Bootstrapping the Three Dimensional Supersymmetric Ising Model journal, July 2015

Bootstrapping 3D fermions
journal, March 2016

Navigator function for the conformal bootstrap
journal, January 2021

The conformal bootstrap: Theory, numerical techniques, and applications
journal, January 2019

Comments on operators with large spin
journal, November 2007

Large Spin Perturbation Theory for Conformal Field Theories
journal, September 2017

The analytic bootstrap and AdS superhorizon locality
journal, December 2013

Anomalous dimensions at finite conformal spin from OPE inversion
journal, November 2018

Carving out OPE space and precise O(2) model critical exponents
journal, June 2020

Precision islands in the Ising and O(N ) models
journal, August 2016

Bounds on 4D conformal and superconformal field theories
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The equivalence of the top quark condensate and the elementary Higgs field
journal, November 1991

Interactions and Phase Transitions on Graphene’s Honeycomb Lattice
journal, October 2006

Convexity and liberation at large spin
journal, November 2013

Long multiplet bootstrap
journal, October 2017

Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
journal, April 2014

Thermal Ising transitions in the vicinity of two-dimensional quantum critical points
journal, April 2016

Bootstrapping monodromy defects in the Wess-Zumino model
journal, May 2022

Bootstrapping the minimal $$ \mathcal{N} $$ = 1 superconformal field theory in three dimensions
journal, June 2021

Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
journal, July 2018

Analyticity in spin in conformal theories
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The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT
journal, September 2020

Bootstrapping 3D fermions with global symmetries
journal, January 2018

Factorized lightcone expansion of conformal blocks
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Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
journal, August 2015

Anomalous mass dimension at O(1/N2) in the O(N) Gross-Neveu model
journal, December 1992

Bootstrapping Conformal Field Theories with the Extremal Functional Method
journal, December 2013

Critical behaviour of the three-dimensional Gross-Neveu and Higgs-Yukawa models
journal, March 1994

COMPUTATION OF β′(g_c) AT O(1/N²) IN THE O(N) GROSS-NEVEU MODEL IN ARBITRARY DIMENSIONS
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Anomalous dimensions from crossing kernels
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Unitarity and the holographic S-Matrix
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Resummation at finite conformal spin
journal, January 2019

The lightcone bootstrap and the spectrum of the 3d Ising CFT
journal, March 2017

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The random-bond Ising model in 2.01 and 3 dimensions
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