Built on

S. Weinberg, Photons and Gravitons in s Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass , Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
G. Veneziano, Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories , Nuovo Cim. A57
1968
Earlier work this paper cites.
M. A. Virasoro, Alternative constructions of crossing-symmetric amplitudes with regge behavior , Phys. Rev. 177
1969
Earlier work this paper cites.
J. A. Shapiro, Electrostatic analog for the virasoro model , Phys. Lett. B33
1970
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory , Nucl. Phys. B546
1999
Earlier work this paper cites.
R. Medina, F. T. Brandt and F. R. Machado, The Open superstring five point amplitude revisited , JHEP 07
2002
Earlier work this paper cites.
K. Mimachi and M. Yoshida, Intersection numbers of twisted cycles and the correlation functions of the conformal field theory , Communications in Mathematical Physics 234
2003
Earlier work this paper cites.
K. Mimachi, K. Ohara and M. Yoshida, Intersection numbers for loaded cycles associated with selberg-type integrals , Tohoku Math. J. (2) 56
2004
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Minimal Basis for Gauge Theory Amplitudes , Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory , Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang and M. Kiermaier, Gravity as the Square of Gauge Theory , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes , JHEP 06
Original
2010
Earlier work this paper cites.
O. Ceyhan and M. Marcolli, Open string theory and planar algebras , J. Phys. A43
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, The Momentum Kernel of Gauge and Gravity Theories , JHEP 01
Original
2011
Earlier work this paper cites.

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2011
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Then

Y. Geyer, A. E. Lipstein and L. J. Mason, Ambitwistor Strings in Four Dimensions , Phys. Rev. Lett. 113
Original
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Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, P. Tourkine and P. Vanhove, Scattering Equations and String Theory Amplitudes , Phys. Rev. D90
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Later among the works it cites.
S. Stieberger, Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator , J. Phys. A47
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2016

Inverse of the String Theory KLT Kernel

Mizera, Sebastian

Understand

The field theory Kawai-Lewellen-Tye (KLT) kernel, which relates scattering amplitudes of gravitons and gluons, turns out to be the inverse of a matrix whose components are bi-adjoint scalar partial amplitudes.

In this note we propose an analogous construction for the string theory KLT kernel.
We present simple diagrammatic rules for the computation of the $\alpha'$-corrected bi-adjoint scalar amplitudes that are exact in $\alpha'$.
We find compact expressions in terms of graphs, where the standard Feynman propagators $1/p^2$ are replaced by either $1/\sin (\pi \alpha' p^2/2)$ or $1/\tan (\pi \alpha' p^2/2)$, as determined by a recursive procedure.

Built on

S. Weinberg, Photons and Gravitons in s Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass , Phys. Rev. 135
1964
Earlier work this paper cites.
S. Weinberg, Infrared photons and gravitons , Phys. Rev. 140
1965
Earlier work this paper cites.
G. Veneziano, Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories , Nuovo Cim. A57
1968
Earlier work this paper cites.
M. A. Virasoro, Alternative constructions of crossing-symmetric amplitudes with regge behavior , Phys. Rev. 177
1969
Earlier work this paper cites.
J. A. Shapiro, Electrostatic analog for the virasoro model , Phys. Lett. B33
1970
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory , Nucl. Phys. B546
1999
Earlier work this paper cites.
R. Medina, F. T. Brandt and F. R. Machado, The Open superstring five point amplitude revisited , JHEP 07
2002
Earlier work this paper cites.
K. Mimachi and M. Yoshida, Intersection numbers of twisted cycles and the correlation functions of the conformal field theory , Communications in Mathematical Physics 234
2003
Earlier work this paper cites.
K. Mimachi, K. Ohara and M. Yoshida, Intersection numbers for loaded cycles associated with selberg-type integrals , Tohoku Math. J. (2) 56
2004
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Minimal Basis for Gauge Theory Amplitudes , Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory , Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang and M. Kiermaier, Gravity as the Square of Gauge Theory , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes , JHEP 06
Original
2010
Earlier work this paper cites.
O. Ceyhan and M. Marcolli, Open string theory and planar algebras , J. Phys. A43
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, The Momentum Kernel of Gauge and Gravity Theories , JHEP 01
Original
2011
Earlier work this paper cites.