Distributions in CFT. Part II. Minkowski space

Kravchuk, Petr; Qiao, Jiaxin; Rychkov, Slava

doi:10.1007/jhep08(2021)094

Title: Distributions in CFT. Part II. Minkowski space

Journal Article · 17 August 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep08(2021)094 · OSTI ID:1839656

^[1]; Qiao, Jiaxin ^[2]; Rychkov, Slava ^[3]

Institute for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
Univ. de Paris (France); Institut des Hautes Études Scientifiques, Bures-sur-Yvette (France)
Institut des Hautes Études Scientifiques, Bures-sur-Yvette (France); Univ. de Paris (France)

CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various properties also in Lorentzian signature. Some of these properties may represent extra assumptions, and it is an open question if they hold for familiar statistical-physics CFTs such as the critical 3d Ising model. Here we consider Wightman 4-point functions of scalar primaries in Lorentzian signature. We derive a minimal set of their properties solely from the Euclidean unitary CFT axioms, without using extra assumptions. We establish all Wightman axioms (temperedness, spectral property, local commutativity, clustering), Lorentzian conformal invariance, and distributional convergence of the s-channel Lorentzian OPE. This is done constructively, by analytically continuing the 4-point functions using the s-channel OPE expansion in the radial cross-ratios ρ, ρ¯. We prove a key fact that |ρ|, |ρ¯| < 1 inside the forward tube, and set bounds on how fast |ρ|, |ρ¯| may tend to 1 when approaching the Minkowski space.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1839656

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (96)

Local Quantum Physics Haag, Rudolf Theoretical and Mathematical Physics (TMP) https://doi.org/10.1007/978-3-642-97306-2	book	January 1992
Conformal symmetry in two-dimensional space: Recursion representation of conformal block Zamolodchikov, Al. B. Theoretical and Mathematical Physics, Vol. 73, Issue 1 https://doi.org/10.1007/BF01022967	journal	October 1987
Time-ordered products and Schwinger functions Eckmann, J. -P.; Epstein, H. Communications in Mathematical Physics, Vol. 64, Issue 2 https://doi.org/10.1007/BF01197509	journal	June 1979
Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren Jantzen, Jens C. Mathematische Annalen, Vol. 226, Issue 1 https://doi.org/10.1007/BF01391218	journal	February 1977
Axioms for Euclidean Green's functions II Osterwalder, Konrad; Schrader, Robert Communications in Mathematical Physics, Vol. 42, Issue 3 https://doi.org/10.1007/BF01608978	journal	October 1975
Global conformal invariance in quantum field theory Lüscher, M.; Mack, G. Communications in Mathematical Physics, Vol. 41, Issue 3 https://doi.org/10.1007/BF01608988	journal	October 1975
Convergence of operator product expansions on the vacuum in conformal invariant quantum field theory Mack, G. Communications in Mathematical Physics, Vol. 53, Issue 2 https://doi.org/10.1007/BF01609130	journal	June 1977
All unitary ray representations of the conformal group SU(2,2) with positive energy Mack, G. Communications in Mathematical Physics, Vol. 55, Issue 1 https://doi.org/10.1007/BF01613145	journal	February 1977
Axioms for Euclidean Green's functions Osterwalder, Konrad; Schrader, Robert Communications in Mathematical Physics, Vol. 31, Issue 2 https://doi.org/10.1007/BF01645738	journal	June 1973
On the equivalence of the Euclidean and Wightman formulation of field theory Glaser, V. Communications in Mathematical Physics, Vol. 37, Issue 4 https://doi.org/10.1007/BF01645941	journal	December 1974
Equivalence of Euclidean and Wightman field theories Zinoviev, Yury M. Communications in Mathematical Physics, Vol. 174, Issue 1 https://doi.org/10.1007/BF02099461	journal	November 1995
Field operators asC ∞ functions in spacelike directions Borchers, H. J. Il Nuovo Cimento, Vol. 33, Issue 6 https://doi.org/10.1007/BF02749678	journal	September 1964
Looking for a bulk point Maldacena, Juan; Simmons-Duffin, David; Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)013	journal	January 2017
Resummation at finite conformal spin Cardona, Carlos; Guha, Sunny; Kanumilli, Surya Kiran Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/JHEP01(2019)077	journal	January 2019
Energy correlations in the end-point region Korchemsky, G. P. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)008	journal	January 2020
The light-ray OPE and conformal colliders Koloğlu, Murat; Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)128	journal	January 2021
Universal bounds on operator dimensions from the average null energy condition Córdova, Clay; Diab, Kenan Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)131	journal	February 2018
The 3d stress-tensor bootstrap Dymarsky, Anatoly; Kos, Filip; Kravchuk, Petr Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)164	journal	February 2018
Writing CFT correlation functions as AdS scattering amplitudes Penedones, Joao Journal of High Energy Physics, Vol. 2011, Issue 3 https://doi.org/10.1007/JHEP03(2011)025	journal	March 2011
The lightcone bootstrap and the spectrum of the 3d Ising CFT Simmons-Duffin, David Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)086	journal	March 2017
d-dimensional SYK, AdS loops, and 6j symbols Liu, Junyu; Perlmutter, Eric; Rosenhaus, Vladimir Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)052	journal	March 2019
Convergent momentum-space OPE and bootstrap equations in conformal field theory Gillioz, Marc; Lu, Xiaochuan; Luty, Markus A. Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)102	journal	March 2020
Scale anomalies, states, and rates in conformal field theory Gillioz, Marc; Lu, Xiaochuan; Luty, Markus A. Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)171	journal	April 2017
The O(N) S-matrix monolith Córdova, Lucía; He, Yifei; Kruczenski, Martin Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)142	journal	April 2020
Causality constraints in conformal field theory Hartman, Thomas; Jain, Sachin; Kundu, Sandipan Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)099	journal	May 2016
Distributions in CFT. Part I. Cross-ratio space Kravchuk, Petr; Qiao, Jiaxin; Rychkov, Slava Journal of High Energy Physics, Vol. 2020, Issue 5 https://doi.org/10.1007/JHEP05(2020)137	journal	May 2020
Conformal Regge theory at finite boost Caron-Huot, Simon; Sandor, Joshua Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)059	journal	May 2021
Bootstrapping the O(N ) vector models Kos, Filip; Poland, David; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)091	journal	June 2014
A semidefinite program solver for the conformal bootstrap Simmons-Duffin, David Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)174	journal	June 2015
A proof of the conformal collider bounds Hofman, Diego M.; Li, Daliang; Meltzer, David Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)111	journal	June 2016
Carving out OPE space and precise O(2) model critical exponents Chester, Shai M.; Landry, Walter; Liu, Junyu Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)142	journal	June 2020
S-matrix bootstrap for effective field theories: massless pions Guerrieri, Andrea L.; Penedones, João; Vieira, Pedro Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)088	journal	June 2021
Averaged null energy condition from causality Hartman, Thomas; Kundu, Sandipan; Tajdini, Amirhossein Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)066	journal	July 2017
A spacetime derivation of the Lorentzian OPE inversion formula Simmons-Duffin, David; Stanford, Douglas; Witten, Edward Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/JHEP07(2018)085	journal	July 2018
Bootstrapping massive quantum field theories Karateev, Denis; Kuhn, Simon; Penedones, João Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)035	journal	July 2020
Diagonal limit for conformal blocks in d dimensions Hogervorst, Matthijs; Osborn, Hugh; Rychkov, Slava Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)014	journal	August 2013
Precision islands in the Ising and O(N ) models Kos, Filip; Poland, David; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)036	journal	August 2016
Modular Hamiltonians for deformed half-spaces and the averaged null energy condition Faulkner, Thomas; Leigh, Robert G.; Parrikar, Onkar Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)038	journal	September 2016
Recursion relations for conformal blocks Penedones, João; Trevisani, Emilio; Yamazaki, Masahito Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)070	journal	September 2016
Analyticity in spin in conformal theories Caron-Huot, Simon Journal of High Energy Physics, Vol. 2017, Issue 9 https://doi.org/10.1007/JHEP09(2017)078	journal	September 2017
Graviton scattering and a sum rule for the c anomaly in 4D CFT Gillioz, Marc; Lu, Xiaochuan; Luty, Markus A. Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)025	journal	September 2018
The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT Liu, Junyu; Meltzer, David; Poland, David Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)115	journal	September 2020
The inversion formula and 6j symbol for 3d fermions Albayrak, Soner; Meltzer, David; Poland, David Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)148	journal	September 2020
Comments on determinant formulas for general CFTs Yamazaki, Masahito Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)035	journal	October 2016
A new spin on causality constraints Hartman, Thomas; Jain, Sachin; Kundu, Sandipan Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)141	journal	October 2016
The conformal bootstrap at finite temperature Iliesiu, Luca; Koloğlu, Murat; Mahajan, Raghu Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)070	journal	October 2018
Momentum-space conformal blocks on the light cone Gillioz, Marc Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)125	journal	October 2018
Spinning conformal correlators Costa, Miguel S.; Penedones, João; Poland, David Journal of High Energy Physics, Vol. 2011, Issue 11 https://doi.org/10.1007/JHEP11(2011)071	journal	November 2011
Convexity and liberation at large spin Komargodski, Zohar; Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)140	journal	November 2013
Bootstrapping mixed correlators in the 3D Ising model Kos, Filip; Poland, David; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)109	journal	November 2014
Bootstrapping the O(N) archipelago Kos, Filip; Poland, David; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)106	journal	November 2015
Bounds on OPE coefficients from interference effects in the conformal collider Córdova, Clay; Maldacena, Juan; Turiaci, Gustavo J. Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)032	journal	November 2017
The S-matrix bootstrap. Part I: QFT in AdS Paulos, Miguel F.; Penedones, Joao; Toledo, Jonathan Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)133	journal	November 2017
The S-matrix bootstrap II: two dimensional amplitudes Paulos, Miguel F.; Penedones, Joao; Toledo, Jonathan Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)143	journal	November 2017
Anomalous dimensions at finite conformal spin from OPE inversion Cardona, Carlos; Sen, Kallol Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)052	journal	November 2018
Light-ray operators in conformal field theory Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)102	journal	November 2018
Shocks, superconvergence, and a stringy equivalence principle Koloğlu, Murat; Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)096	journal	November 2020
A scattering amplitude in Conformal Field Theory Gillioz, Marc; Meineri, Marco; Penedones, João Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)139	journal	November 2020
Conformal Regge theory Costa, Miguel S.; Goncalves, Vasco; Penedones, João Journal of High Energy Physics, Vol. 2012, Issue 12 https://doi.org/10.1007/JHEP12(2012)091	journal	December 2012
The analytic bootstrap and AdS superhorizon locality Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)004	journal	December 2013
A tauberian theorem for the conformal bootstrap Qiao, Jiaxin; Rychkov, Slava Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)119	journal	December 2017
Adding flavour to the S-matrix bootstrap Córdova, Lucía; Vieira, Pedro Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/JHEP12(2018)063	journal	December 2018
The S-matrix bootstrap. Part III: higher dimensional amplitudes Paulos, Miguel F.; Penedones, Joao; Toledo, Jonathan Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/JHEP12(2019)040	journal	December 2019
Bootstrapping the 3d Ising model at finite temperature Iliesiu, Luca; Koloğlu, Murat; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/JHEP12(2019)072	journal	December 2019
A Second-Quantized Kolmogorov–Chentsov Theorem via the Operator Product Expansion Abdesselam, Abdelmalek Communications in Mathematical Physics, Vol. 376, Issue 1 https://doi.org/10.1007/s00220-019-03665-4	journal	January 2020
Conformal 3-Point Functions and the Lorentzian OPE in Momentum Space Gillioz, Marc Communications in Mathematical Physics, Vol. 379, Issue 1 https://doi.org/10.1007/s00220-020-03836-8	journal	August 2020
Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents El-Showk, Sheer; Paulos, Miguel F.; Poland, David Journal of Statistical Physics, Vol. 157, Issue 4-5 https://doi.org/10.1007/s10955-014-1042-7	journal	June 2014
Axiomatic Conformal Theory in Dimensions >2 and AdS/CT Correspondence Schwarz, Albert Letters in Mathematical Physics, Vol. 106, Issue 9 https://doi.org/10.1007/s11005-016-0866-2	journal	June 2016
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Zamolodchikov, Alexander B.; Zamolodchikov, Alexey B. Annals of Physics, Vol. 120, Issue 2 https://doi.org/10.1016/0003-4916(79)90391-9	journal	August 1979
Infinite conformal symmetry in two-dimensional quantum field theory Belavin, A. A.; Polyakov, A. M.; Zamolodchikov, A. B. Nuclear Physics B, Vol. 241, Issue 2 https://doi.org/10.1016/0550-3213(84)90052-X	journal	July 1984
Conformal four point functions and the operator product expansion Dolan, F. A.; Osborn, H. Nuclear Physics B, Vol. 599, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00013-X	journal	April 2001
Conformal partial waves and the operator product expansion Dolan, F. A.; Osborn, H. Nuclear Physics B, Vol. 678, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.11.016	journal	February 2004
Local Commutativity and the Analytic Continuation of the Wightman Function Tomozawa, Yukio Journal of Mathematical Physics, Vol. 4, Issue 10 https://doi.org/10.1063/1.1703896	journal	October 1963
An Algebraic Approach to Quantum Field Theory Haag, Rudolf; Kastler, Daniel Journal of Mathematical Physics, Vol. 5, Issue 7 https://doi.org/10.1063/1.1704187	journal	July 1964
The Pomeron and gauge/string duality Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J. Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/005	journal	December 2007
Conformal collider physics: energy and charge correlations Hofman, Diego M.; Maldacena, Juan Journal of High Energy Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1126-6708/2008/05/012	journal	May 2008
Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/048	journal	June 2008
Bounding scalar operator dimensions in 4 D CFT Rattazzi, Riccardo; Rychkov, Vyacheslav S.; Tonni, Erik Journal of High Energy Physics, Vol. 2008, Issue 12 https://doi.org/10.1088/1126-6708/2008/12/031	journal	December 2008
Holography from conformal field theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/079	journal	October 2009
Wedge reflection positivity Casini, H. Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 43 https://doi.org/10.1088/1751-8113/44/43/435202	journal	October 2011
High-Energy Behavior in Quantum Field Theory. I. Strictly Localizable Fields Jaffee, Arthur M. Physical Review, Vol. 158, Issue 5 https://doi.org/10.1103/PhysRev.158.1454	journal	June 1967
Collinear limit of the energy-energy correlator Dixon, Lance J.; Moult, Ian; Zhu, Hua Xing Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevD.100.014009	journal	July 2019
Negative energy, superluminosity, and holography Polchinski, Joseph; Susskind, Leonard; Toumbas, Nicolaos Physical Review D, Vol. 60, Issue 8 https://doi.org/10.1103/PhysRevD.60.084006	journal	September 1999
String scattering in flat space and a scaling limit of Yang-Mills correlators Okuda, Takuya; Penedones, João Physical Review D, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevD.83.086001	journal	April 2011
Solving the 3D Ising model with the conformal bootstrap El-Showk, Sheer; Paulos, Miguel F.; Poland, David Physical Review D, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevD.86.025022	journal	July 2012
Operator product expansion convergence in conformal field theory Pappadopulo, Duccio; Rychkov, Slava; Espin, Johnny Physical Review D, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevD.86.105043	journal	November 2012
Radial coordinates for conformal blocks Hogervorst, Matthijs; Rychkov, Slava Physical Review D, Vol. 87, Issue 10 https://doi.org/10.1103/PhysRevD.87.106004	journal	May 2013
Bootstrapping QCD Using Pion Scattering Amplitudes Guerrieri, Andrea L.; Penedones, João; Vieira, Pedro Physical Review Letters, Vol. 122, Issue 24 https://doi.org/10.1103/PhysRevLett.122.241604	journal	June 2019
Flux Tube S -Matrix Bootstrap Miró, Joan Elias; Guerrieri, Andrea L.; Hebbar, Aditya Physical Review Letters, Vol. 123, Issue 22 https://doi.org/10.1103/PhysRevLett.123.221602	journal	November 2019
Crossing Symmetric Dispersion Relations in Quantum Field Theories Sinha, Aninda; Zahed, Ahmadullah Physical Review Letters, Vol. 126, Issue 18 https://doi.org/10.1103/PhysRevLett.126.181601	journal	May 2021
The conformal bootstrap: Theory, numerical techniques, and applications Poland, David; Rychkov, Slava; Vichi, Alessandro Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/RevModPhys.91.015002	journal	January 2019
Conformal partial waves in momentum space Gillioz, Marc SciPost Physics, Vol. 10, Issue 4 https://doi.org/10.21468/SciPostPhys.10.4.081	journal	January 2021
Quantum field theory and the Bieberbach conjecture Haldar, Parthiv; Sinha, Aninda; Zahed, Ahmadullah SciPost Physics, Vol. 11, Issue 1 https://doi.org/10.21468/SciPostPhys.11.1.002	journal	January 2021
The Wightman Axioms and Particle Structure in the (φ) 2 Quantum Field Model Glimm, James; Jaffe, Arthur; Spencer, Thomas The Annals of Mathematics, Vol. 100, Issue 3 https://doi.org/10.2307/1970959	journal	November 1974
Restrictions imposed by superconformal invariance on quantum field theories Minwalla, Shiraz Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 4 https://doi.org/10.4310/ATMP.1998.v2.n4.a4	journal	January 1998
3D Ising model: a view from the conformal bootstrap island Rychkov, Slava Comptes Rendus. Physique, Vol. 21, Issue 2 https://doi.org/10.5802/crphys.23	journal	January 2020

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