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K. Symanzik, “On Calculations in conformal invariant field theories,” Lett. Nuovo Cim
1972
Earlier work this paper cites.
A. M. Ghezelbash, K. Kaviani, S. Parvizi, and A. H. Fatollahi, “Interacting spinors - scalars and AdS / CFT correspondence,” Phys. Lett
1998
Earlier work this paper cites.
M. Henningson and K. Sfetsos, “Spinors and the AdS / CFT correspondence,” Phys. Lett
1998
Earlier work this paper cites.
W. Mueck and K. S. Viswanathan, “Conformal field theory correlators from classical scalar field theory on AdS(d+1),” Phys. Rev
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
Original
1998
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.
T. Kawano and K. Okuyama, “Spinor exchange in AdS(d+1),” Nucl. Phys
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
G. Mack, “D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models,” Bulg. J. Phys
Original
2009
Earlier work this paper cites.
S. Weinberg, “Six-dimensional Methods for Four-dimensional Conformal Field Theories,” Phys. Rev
Original
2010
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
Original
2011
Earlier work this paper cites.

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2017

Mellin Amplitudes for Fermionic Conformal Correlators

Faller, Josua, Sarkar, Sourav, Verma, Mritunjay

Understand

We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function.

The Mellin amplitude thus defined has multiple components each associated with a tensor structure.
In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions.
The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles.

Built on

K. Symanzik, “On Calculations in conformal invariant field theories,” Lett. Nuovo Cim
1972
Earlier work this paper cites.
A. M. Ghezelbash, K. Kaviani, S. Parvizi, and A. H. Fatollahi, “Interacting spinors - scalars and AdS / CFT correspondence,” Phys. Lett
1998
Earlier work this paper cites.
M. Henningson and K. Sfetsos, “Spinors and the AdS / CFT correspondence,” Phys. Lett
1998
Earlier work this paper cites.
W. Mueck and K. S. Viswanathan, “Conformal field theory correlators from classical scalar field theory on AdS(d+1),” Phys. Rev
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
Original
1998
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.
T. Kawano and K. Okuyama, “Spinor exchange in AdS(d+1),” Nucl. Phys
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, “Conformal four point functions and the operator product expansion,” Nucl. Phys
2001
Earlier work this paper cites.
G. Mack, “D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models,” Bulg. J. Phys
Original
2009
Earlier work this paper cites.
S. Weinberg, “Six-dimensional Methods for Four-dimensional Conformal Field Theories,” Phys. Rev
Original
2010
Earlier work this paper cites.
J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
Original
2011
Earlier work this paper cites.