Fetching the paper…
Reading the bibliography…
We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions.
K. G. Wilson and M. E. Fisher, “Critical exponents in 3.99 dimensions,” Phys. Rev. Lett
1972
Earlier work this paper cites.
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.
K. G. Wilson, “Quantum field theory models in less than four-dimensions,” Phys.Rev
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.
S. J. Hathrell, “Trace Anomalies and λ ϕ 4 \lambda\phi^{4} Theory in Curved Space,” Ann. Phys
1982
Earlier work this paper cites.
I. Jack and H. Osborn, “Background Field Calculations in Curved Space-Time. 1. General Formalism and Application to Scalar Fields,” Nucl. Phys
1984
Earlier work this paper cites.
J. Le Guillou and J. Zinn-Justin, “Accurate critical exponents for Ising like systems in noninteger dimensions,” J. Physique
1987
Earlier work this paper cites.
A. Cappelli, D. Friedan, and J. I. Latorre, “C theorem and spectral representation,” Nucl.Phys
1991
Earlier work this paper cites.
S. Kehrein, F. Wegner, and Y. Pismak, “Conformal symmetry and the spectrum of anomalous dimensions in the N N vector model in 4 − ϵ 4-\epsilon dimensions,” Nucl.Phys
1993
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.
S. K. Kehrein and F. Wegner, “The Structure of the spectrum of anomalous dimensions in the N N vector model in ( 4 − ϵ ) (4-\epsilon) -dimensions,” Nucl.Phys
1994
Earlier work this paper cites.
S. K. Kehrein, “The Spectrum of critical exponents in ( ϕ → 2 ) 2 (\vec{\phi}^{2})^{2} theory in d = 4 − ϵ d=4-\epsilon dimensions: Resolution of degeneracies and hierarchical structures,” Nucl.Phys
1995
Earlier work this paper cites.
A. Petkou, “Conserved Currents, Consistency Relations, and Operator Product Expansions in the Conformally Invariant O ( N ) O(N) Vector Model,” Annals Phys
1996
Earlier work this paper cites.
R. Guida and J. Zinn-Justin, “Critical exponents of the N N vector model,” J.Phys
1998
Cited alongside, same era.
F. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl.Phys
2001
Cited alongside, same era.
F. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl.Phys
2004
Cited alongside, same era.
2008
Cited alongside, same era.
V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys. Rev
2009
Cited alongside, same era.
P. Liendo, L. Rastelli, and B. C. van Rees, “The Bootstrap Program for Boundary CFT d
2013
Closest in time.
2013
Closest in time.
2013
Closest in time.
F. Gliozzi, “More constraining conformal bootstrap,” Phys. Rev. Lett
2013
Closest in time.
M. Hogervorst and S. Rychkov, “Radial Coordinates for Conformal Blocks,” Phys.Rev
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
2010
Cited alongside, same era.
2011
Cited alongside, same era.
2011
Cited alongside, same era.
Ph.D. Thesis, EPFL, 2011, 164 pp
A. Vichi, A New Method to Explore Conformal Field Theories in Any Dimension · 2011
Cited alongside, same era.
A. Vichi, “Improved bounds for CFT’s with global symmetries,” JHEP
2012
Cited alongside, same era.
D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP
2012
Cited alongside, same era.
2013
Closest in time.
2013
Closest in time.
A. L. Fitzpatrick, J. Kaplan, and D. Poland, “Conformal Blocks in the Large D Limit,” JHEP
2013
Closest in time.
2013
Closest in time.
F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping the O ( N ) O(N) vector models,” JHEP
2014
Closest in time.
2014
Closest in time.