Built on

S. Ferrara, A. F. Grillo, and R. Gatto, “Tensor representations of conformal algebra and conformally covariant operator product expansion,” Annals Phys
1973
Earlier work this paper cites.
O. Nachtmann, “Positivity constraints for anomalous dimensions,” Nucl.Phys
1973
Earlier work this paper cites.
A. M. Polyakov, “Nonhamiltonian approach to conformal quantum field theory,” Zh. Eksp. Teor. Fiz
1974
Earlier work this paper cites.
V. K. Dobrev, V. B. Petkova, S. G. Petrova, and I. T. Todorov, “Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory,” Phys. Rev
1976
Earlier work this paper cites.
G. Mack, “Duality in quantum field theory,” Nucl. Phys
1977
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, “Conformal collider physics: Energy and charge correlations,” JHEP
Original
2008
Earlier work this paper cites.
V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys. Rev
Original
2009
Earlier work this paper cites.
F. Caracciolo and V. S. Rychkov, “Rigorous Limits on the Interaction Strength in Quantum Field Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
A. Buchel, J. Escobedo, R. C. Myers, M. F. Paulos, A. Sinha, and M. Smolkin, “Holographic GB gravity in arbitrary dimensions,” JHEP
Original
2010
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi, “Bounds in 4D Conformal Field Theories with Global Symmetry,” J. Phys
Original
2011
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi, “Central Charge Bounds in 4D Conformal Field Theory,” Phys. Rev
Original
2011
Earlier work this paper cites.
M. S. Costa, J. Penedones, D. Poland, and S. Rychkov, “Spinning Conformal Correlators,” JHEP
Original
2011
Earlier work this paper cites.
M. S. Costa, J. Penedones, D. Poland, and S. Rychkov, “Spinning Conformal Blocks,” JHEP
Original
2011
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” Phys.Rev
Original
2012
Earlier work this paper cites.
A. Vichi, “Improved bounds for CFT’s with global symmetries,” JHEP
Original
2012
Earlier work this paper cites.
D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP
Original
2012
Earlier work this paper cites.
C. Beem, L. Rastelli, and B. C. van Rees, “The 𝒩 = 4 \mathcal{N}=4 Superconformal Bootstrap,” Phys.Rev.Lett
Original
2013
Earlier work this paper cites.
P. Liendo, L. Rastelli, and B. C. van Rees, “The Bootstrap Program for Boundary CFT d
Original
2013
Earlier work this paper cites.
Z. Komargodski and A. Zhiboedov, “Convexity and Liberation at Large Spin,” JHEP
Original
2013
Earlier work this paper cites.
A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,” JHEP
Original
2013
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, et al
Original
2014
Earlier work this paper cites.

Similar

F. Gliozzi and A. Rago, “Critical exponents of the 3d Ising and related models from Conformal Bootstrap,” JHEP
Original
2014
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F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping Mixed Correlators in the 3D Ising Model,” JHEP
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Then

C. Beem, M. Lemos, L. Rastelli, and B. C. van Rees, “The (2, 0) superconformal bootstrap,” Phys. Rev
Original
2016
Later among the works it cites.
M. Lemos and P. Liendo, “Bootstrapping 𝒩 = 2 \mathcal{N}=2 chiral correlators,” JHEP
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2016
Later among the works it cites.
S. M. Chester, L. V. Iliesiu, S. S. Pufu, and R. Yacoby, “Bootstrapping O ⁡ ( N ) O(N) Vector Models with Four Supercharges in 3 ≤ d ≤ 4 3\leq d\leq 4 ,” JHEP
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Later among the works it cites.
L. Iliesiu, F. Kos, D. Poland, S. S. Pufu, D. Simmons-Duffin, and R. Yacoby, “Fermion-Scalar Conformal Blocks,” JHEP
Original
2016
Later among the works it cites.
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2017

The 3d Stress-Tensor Bootstrap

Dymarsky, Anatoly, Kos, Filip, Kravchuk, Petr et al.

Understand

We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs.

To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the stress-tensor 4-point function and identify a non-redundant set of crossing equations.
Studying these equations numerically using semidefinite optimization, we compute bounds on the central charge as a function of the independent coefficient in the stress-tensor 3-point function.
With no additional assumptions, these bounds numerically reproduce the conformal collider bounds and give a general lower bound on the central charge.