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D. B. Fairlie and D. E. Roberts, “Dual Models Without Tachyons – A New Approach.” 1972
1972
Earlier work this paper cites.
A. G. Cohen, G. W. Moore, P. C. Nelson and J. Polchinski, An Off-Shell Propagator for String Theory , Nucl. Phys. B267
1986
Earlier work this paper cites.
D. J. Gross and P. F. Mende, The High-Energy Behavior of String Scattering Amplitudes , Phys. Lett. B197
1987
Earlier work this paper cites.
D. J. Gross and P. F. Mende, String Theory Beyond the Planck Scale , Nucl. Phys. B303
1988
Earlier work this paper cites.
E. D’Hoker and D. H. Phong, The Geometry of String Perturbation Theory , Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
L. Alvarez-Gaume, C. Gomez, G. W. Moore and C. Vafa, Strings in the Operator Formalism , Nucl. Phys. B303
1988
Earlier work this paper cites.
L. Alvarez-Gaume, C. Gomez, G. W. Moore and C. Vafa, Fermionic Strings in the Operator Formalism , Nucl. Phys. B311
1988
Earlier work this paper cites.
D. Birmingham and C. G. Torre, BRST Extension of a String Propagator , Phys. Lett. B205
1988
Earlier work this paper cites.
I. B. Frenkel and A. N. Todorov, Complex counterpart of Chern-Simons-Witten theory and holomorphic linking , Adv. Theor. Math. Phys. 11
2007
Earlier work this paper cites.
L. J. Mason and D. Skinner, The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space , JHEP 12
Original
2010
Earlier work this paper cites.

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2017

Roehrig, Kai A., Skinner, David

We present a new operator in the ambitwistor string which glues together correlators with fewer points or of lower genus.

It underpins the recursive construction of tree-level CHY scattering amplitudes by Dolan \& Goddard, as well as the computation of loop integrands on a Riemann sphere by Geyer et al.
The gluing operator is a tractable object due to the finiteness of the spectrum.
In particular, we demonstrate how it gives rise to the complete one-loop integrand in SYM and SUGRA.

D. B. Fairlie and D. E. Roberts, “Dual Models Without Tachyons – A New Approach.” 1972
1972
Earlier work this paper cites.
A. G. Cohen, G. W. Moore, P. C. Nelson and J. Polchinski, An Off-Shell Propagator for String Theory , Nucl. Phys. B267
1986
Earlier work this paper cites.
D. J. Gross and P. F. Mende, The High-Energy Behavior of String Scattering Amplitudes , Phys. Lett. B197
1987
Earlier work this paper cites.
D. J. Gross and P. F. Mende, String Theory Beyond the Planck Scale , Nucl. Phys. B303
1988
Earlier work this paper cites.
E. D’Hoker and D. H. Phong, The Geometry of String Perturbation Theory , Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
L. Alvarez-Gaume, C. Gomez, G. W. Moore and C. Vafa, Strings in the Operator Formalism , Nucl. Phys. B303
1988
Earlier work this paper cites.
L. Alvarez-Gaume, C. Gomez, G. W. Moore and C. Vafa, Fermionic Strings in the Operator Formalism , Nucl. Phys. B311
1988
Earlier work this paper cites.
D. Birmingham and C. G. Torre, BRST Extension of a String Propagator , Phys. Lett. B205
1988
Earlier work this paper cites.
I. B. Frenkel and A. N. Todorov, Complex counterpart of Chern-Simons-Witten theory and holomorphic linking , Adv. Theor. Math. Phys. 11
2007
Earlier work this paper cites.
L. J. Mason and D. Skinner, The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space , JHEP 12
Original
2010
Earlier work this paper cites.