Built on

S. L. Adler, Consistency conditions on the strong interactions implied by a partially conserved axial vector current , Phys. Rev. 137
1965
Earlier work this paper cites.
J. A. Cronin, Phenomenological model of strong and weak interactions in chiral U(3) x U(3) , Phys. Rev. 161
1967
Earlier work this paper cites.
S. Weinberg, Dynamical approach to current algebra , Phys. Rev. Lett. 18
1967
Earlier work this paper cites.
L. S. Brown, Field theory of chiral symmetry , Phys. Rev. 163
1967
Earlier work this paper cites.
P. Chang and F. Gursey, Unified Formulation of Effective Nonlinear Pion-Nucleon Lagrangians , Phys. Rev. 164
1967
Earlier work this paper cites.
S. Weinberg, Nonlinear realizations of chiral symmetry , Phys. Rev. 166
1968
Earlier work this paper cites.
H. Osborn, Implications of adler zeros for multipion processes , Lett. Nuovo Cim. 2S1
1969
Earlier work this paper cites.
L. Susskind and G. Frye, Algebraic aspects of pionic duality diagrams , Phys. Rev. D1
1970
Earlier work this paper cites.
J. R. Ellis and B. Renner, On the relationship between chiral and dual models , Nucl. Phys. B21
1970
Earlier work this paper cites.
L. Brink, J. H. Schwarz and J. Scherk, Supersymmetric Yang-Mills Theories , Nucl. Phys. B121
1977
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.
D. J. Gross and P. F. Mende, The High-Energy Behavior of String Scattering Amplitudes , Phys. Lett. B197
1987
Earlier work this paper cites.
R. R. Metsaev, M. Rakhmanov and A. A. Tseytlin, The Born-Infeld Action as the Effective Action in the Open Superstring Theory , Phys. Lett. B193
1987
Earlier work this paper cites.
K. Aomoto, Special values of hyperlogarithms and linear difference schemes , Illinois J. Math. 34
1990
Earlier work this paper cites.
M. B. Green and M. Gutperle, Symmetry breaking at enhanced symmetry points , Nucl. Phys. B460
1996
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.
Z. Bern, A. De Freitas and H. L. Wong, On the coupling of gravitons to matter , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
V. Del Duca, L. J. Dixon and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level , Nucl. Phys. B571
2000
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.
T. Terasoma, Selberg integrals and multiple zeta values , Compositio Mathematica 133
2002
Earlier work this paper cites.
L. A. Barreiro and R. Medina, 5-field terms in the open superstring effective action , JHEP 03
2005
Earlier work this paper cites.
S. Stieberger and T. R. Taylor, Multi-Gluon Scattering in Open Superstring Theory , Phys. Rev. D74
2006
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.

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2016

Semi-abelian Z-theory: NLSM+phi^3 from the open string

Carrasco, John Joseph M., Mafra, Carlos R., Schlotterer, Oliver

Understand

We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM).

We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo, Cha, and Mizera are reproduced by the leading alpha'-order of Z-theory amplitudes in the semi-abelian case.
The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian case involves to a partial symmetrization over one of the color orderings that characterize the Z-theory amplitudes.
Alternatively, the partial symmetrization corresponds to a mixed interaction among abelian and non-abelian states in the underlying open-superstring amplitude.

Built on

S. L. Adler, Consistency conditions on the strong interactions implied by a partially conserved axial vector current , Phys. Rev. 137
1965
Earlier work this paper cites.
J. A. Cronin, Phenomenological model of strong and weak interactions in chiral U(3) x U(3) , Phys. Rev. 161
1967
Earlier work this paper cites.
S. Weinberg, Dynamical approach to current algebra , Phys. Rev. Lett. 18
1967
Earlier work this paper cites.
L. S. Brown, Field theory of chiral symmetry , Phys. Rev. 163
1967
Earlier work this paper cites.
P. Chang and F. Gursey, Unified Formulation of Effective Nonlinear Pion-Nucleon Lagrangians , Phys. Rev. 164
1967
Earlier work this paper cites.
S. Weinberg, Nonlinear realizations of chiral symmetry , Phys. Rev. 166
1968
Earlier work this paper cites.
H. Osborn, Implications of adler zeros for multipion processes , Lett. Nuovo Cim. 2S1
1969
Earlier work this paper cites.
L. Susskind and G. Frye, Algebraic aspects of pionic duality diagrams , Phys. Rev. D1
1970
Earlier work this paper cites.
J. R. Ellis and B. Renner, On the relationship between chiral and dual models , Nucl. Phys. B21
1970
Earlier work this paper cites.
L. Brink, J. H. Schwarz and J. Scherk, Supersymmetric Yang-Mills Theories , Nucl. Phys. B121
1977
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.
D. J. Gross and P. F. Mende, The High-Energy Behavior of String Scattering Amplitudes , Phys. Lett. B197
1987
Earlier work this paper cites.
R. R. Metsaev, M. Rakhmanov and A. A. Tseytlin, The Born-Infeld Action as the Effective Action in the Open Superstring Theory , Phys. Lett. B193
1987
Earlier work this paper cites.
K. Aomoto, Special values of hyperlogarithms and linear difference schemes , Illinois J. Math. 34
1990
Earlier work this paper cites.
M. B. Green and M. Gutperle, Symmetry breaking at enhanced symmetry points , Nucl. Phys. B460
1996
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.
Z. Bern, A. De Freitas and H. L. Wong, On the coupling of gravitons to matter , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
V. Del Duca, L. J. Dixon and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level , Nucl. Phys. B571
2000
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.
T. Terasoma, Selberg integrals and multiple zeta values , Compositio Mathematica 133
2002
Earlier work this paper cites.
L. A. Barreiro and R. Medina, 5-field terms in the open superstring effective action , JHEP 03
2005
Earlier work this paper cites.
S. Stieberger and T. R. Taylor, Multi-Gluon Scattering in Open Superstring Theory , Phys. Rev. D74
2006
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.