Understand
We extend the work of [4] to support the conjecture that any conformal field theory with a large N expansion and a large gap in the spectrum of anomalous dimensions has a local bulk dual.
- We count to O(1/N^2) the solutions to the crossing constraints in conformal field theory for a completely general scalar four-point function and show that, to this order, the counting matches the number of independent interactions in a general scalar theory on Anti-de Sitter space.
- We introduce parity odd conformal blocks for this purpose.
Built on
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
V. Balasubramanian, P. Kraus and A. E. Lawrence, “Bulk vs. boundary dynamics in anti-de Sitter spacetime,” Phys. Rev. D 59
1999
Earlier work this paper cites.
Similar
S. B. Giddings, “Flat-space scattering and bulk locality in the AdS/CFT correspondence,” Phys. Rev. D 61
2000
Cited alongside, same era.
E. D’Hoker, S. D. Mathur, A. Matusis and L. Rastelli, Nucl. Phys. B 589
2000
Cited alongside, same era.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys. B 599
2001
Cited alongside, same era.
Cited in the paper.
J. Penedones, Work in progress
Cited in the paper.
Then
F. A. Dolan and H. Osborn, “Conformal partial waves and the operator product expansion,” Nucl. Phys. B 678
2004
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
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