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.
A. M. Polyakov, “Nonhamiltonian approach to conformal quantum field theory,” Zh. Eksp. Teor. Fiz
1974
Earlier work this paper cites.
G. Mack, “All Unitary Ray Representations of the Conformal Group SU(2,2) with Positive Energy,” Commun.Math.Phys
1977
Earlier work this paper cites.
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, “Infinite conformal symmetry in two-dimensional quantum field theory,” Nucl. Phys
1984
Earlier work this paper cites.
Gordon and Breach science publ Amsterdam, Paris, New York, 1990
A. P. Prudnikov, I. A. Brychkov, O. I. Marichev, and G. G. Gould, Integrals and series. Volume 3., More special functions · 1990
Earlier work this paper cites.
H. Osborn and A. Petkou, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys
1994
Earlier work this paper cites.
F. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl.Phys
2001
Earlier work this paper cites.
F. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl.Phys
2004
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.
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.
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.
R. Rattazzi, S. Rychkov, and A. Vichi, “Central Charge Bounds in 4D Conformal Field Theory,” Phys. Rev
Original
2011
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.
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.
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.
D. Pappadopulo, S. Rychkov, J. Espin, and R. Rattazzi, “OPE Convergence in Conformal Field Theory,” Phys.Rev
Original
2012
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.
P. Liendo, L. Rastelli, and B. C. van Rees, “The Bootstrap Program for Boundary CFT d
Original
2013
Earlier work this paper cites.
S. El-Showk and M. F. Paulos, “Bootstrapping Conformal Field Theories with the Extremal Functional Method,” Phys. Rev. Lett
Original
2013
Earlier work this paper cites.
F. Gliozzi, “More constraining conformal bootstrap,” Phys.Rev.Lett
Original
2013
Earlier work this paper cites.

Similar

A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,” JHEP
Original
2013
Cited alongside, same era.
Z. Komargodski and A. Zhiboedov, “Convexity and Liberation at Large Spin,” JHEP
Original
2013
Cited alongside, same era.
N. Boulanger, D. Ponomarev, E. D. Skvortsov, and M. Taronna, “On the uniqueness of higher-spin symmetries in AdS and CFT,” Int. J. Mod. Phys
Original
2013
Cited alongside, same era.
M. Hogervorst and S. Rychkov, “Radial Coordinates for Conformal Blocks,” Phys.Rev
Original
2013
Cited alongside, same era.
F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping the O ⁡ ( N ) O(N) vector models,” JHEP

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2016

The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT

Simmons-Duffin, David

Understand

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 set of new techniques for computing infinite sums of SL(2,R) conformal blocks.
Using these techniques, we solve the lightcone bootstrap to all orders in an asymptotic expansion in large spin, and suggest a strategy for going beyond the large spin limit.
We carry out the first steps of this strategy for the 3d Ising CFT, deriving analytic approximations for the dimensions and OPE coefficients of several infinite families of operators in terms of the initial data $\{\Delta_\sigma,\Delta_\epsilon,f_{\sigma\sigma\epsilon},f_{\epsilon\epsilon\epsilon},c_T\}$.