The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Writing CFT correlation functions as AdS scattering amplitudes
Open accessAbstract
We explore the Mellin representation of conformal correlation functions recently proposed by Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes and scattering amplitudes. We conjecture a simple formula relating the bulk scattering amplitudes to the asymptotic behavior of Mellin amplitudes and show that previous results on the flat space limit of AdS follow from our new formula. We find that the Mellin amplitudes are particularly useful in the case of conformal gauge theories in the planar limit. In this case, the four point Mellin amplitudes are meromorphic functions whose poles and their residues are entirely determined by two and three point functions of single-trace operators. This makes the Mellin amplitudes the ideal objects to attempt the conformal bootstrap program in higher dimensions.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Gauge Theory Correlators from Non-Critical String Theory
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BoundarySMatrix and the Anti–de Sitter Space to Conformal Field Theory Dictionary
Giddings, S. B. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2707 · Cited by 143
Cited by
The conformal bootstrap: Theory, numerical techniques, and applications
Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
Universality of long-distance AdS physics from the CFT bootstrap
Fitzpatrick, A. L., Kaplan, J., & Walters, M. T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep08(2014)145 · Cited by 397
Bootstrapping mixed correlators in the 3D Ising model
Kos, F., Poland, D., & Simmons-Duffin, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep11(2014)109 · Cited by 299
Maldacena, J., Simmons-Duffin, D., & Zhiboedov, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep01(2017)013 · Cited by 285
Carving out the space of 4D CFTs
Poland, D., Simmons-Duffin, D., & Vichi, A. (2012) · Journal of High Energy Physics · doi:10.1007/jhep05(2012)110 · Cited by 270
Metadata
- Authors
- Penedones, J.
- Venue
- Journal of High Energy Physics
- Published
- 2011-03
- Volume
- 2011
- Issue
- 3
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2137453505
- Cited by
- 540
- References
- 5
- FWCI
- 6.81
- Type
- journal article
- Language
- en
- Open access
- green
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