Built on

J. L. Cardy, “Operator content and modular properties of higher-dimensional conformal field theories,” Nuclear Physics B
1991
Earlier work this paper cites.
D. Z. Freedman, S. D. Mathur, A. Matusis, and L. Rastelli, “Correlation functions in the CFT(d) / AdS(d+1) correspondence,” Nucl. Phys
1999
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys
2004
Earlier work this paper cites.
F. A. Dolan, “Character formulae and partition functions in higher dimensional conformal field theory,” J. Math. Phys
2006
Earlier work this paper cites.
P. Kovtun and A. Ritz, “Black holes and universality classes of critical points,” Phys. Rev. Lett
Original
2008
Earlier work this paper cites.
D. M. Hofman, “Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT,” Nucl. Phys
Original
2009
Earlier work this paper cites.
J. de Boer, M. Kulaxizi, and A. Parnachev, “AdS(7)/CFT(6), Gauss-Bonnet Gravity, and Viscosity Bound,” JHEP
Original
2010
Earlier work this paper cites.
J. de Boer, M. Kulaxizi, and A. Parnachev, “Holographic Lovelock Gravities and Black Holes,” JHEP
Original
2010
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski, and P. Suchanek, “Recursive representation of the torus 1-point conformal block,” JHEP
Original
2010
Earlier work this paper cites.
M. Kulaxizi and A. Parnachev, “Energy Flux Positivity and Unitarity in CFTs,” Phys. Rev. Lett
Original
2011
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” 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.

Similar

S. El-Showk and K. Papadodimas, “Emergent Spacetime and Holographic CFTs,” JHEP
Original
2012
Cited alongside, same era.
D. Pappadopulo, S. Rychkov, J. Espin, and R. Rattazzi, “OPE Convergence in Conformal Field Theory,” Phys. Rev
Original
2012
Cited alongside, same era.
M. Hogervorst, H. Osborn, and S. Rychkov, “Diagonal Limit for Conformal Blocks in d d Dimensions,” JHEP
Original
2013
Cited alongside, same era.
L. Di Pietro and Z. Komargodski, “Cardy formulae for SUSY theories in d = d= 4 and d = d= 6,” JHEP
Original
2014
Cited alongside, same era.
F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping the O ⁡ ( N ) O(N) vector models,” JHEP
Original

Then

M. Hogervorst, “Dimensional Reduction for Conformal Blocks,” JHEP
Original
2016
Later among the works it cites.
M. Isachenkov and V. Schomerus, “Superintegrability of d d -dimensional Conformal Blocks,” Phys. Rev. Lett
Original
2016
Later among the works it cites.
B. Czech, L. Lamprou, S. McCandlish, B. Mosk, and J. Sully, “A Stereoscopic Look into the Bulk,” JHEP
Original
2016
Later among the works it cites.
A. Belin, J. de Boer, J. Kruthoff, B. Michel, E. Shaghoulian, and M. Shyani, “Universality of sparse d > 2 d>2 conformal field theory at large N N ,” JHEP
Original
2017
Later among the works it cites.
E. Shaghoulian, “Modular Invariance of Conformal Field Theory on S 1 × S 3 S^{1}\texttimes S^{3} and Circle Fibrations,” Phys. Rev. Lett

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…

2018

Thermal Conformal Blocks

Gobeil, Yan, Maloney, Alexander, Ng, Gim Seng et al.

Understand

We study conformal blocks for thermal one-point-functions on the sphere in conformal field theories of general dimension.

These thermal conformal blocks satisfy second order Casimir differential equations and have integral representations related to AdS Witten diagrams.
We give an analytic formula for the scalar conformal block in terms of generalized hypergeometric functions.
As an application, we deduce an asymptotic formula for the three-point coeffcients of primary operators in the limit where two of the operators are heavy.