TY - JOUR
T1 - On the U(1) duality anomaly and the S-matrix of ̄ 4 supergravity
AU - Carrasco, John Joseph
AU - Kallosh, R.
AU - Roiban, R.
AU - Tseytlin, A. A.
PY - 2013
Y1 - 2013
N2 - 4 Poincaré supergravity has a global SU(1, 1) duality symmetry that acts manifestly only on shell as it involves duality rotations of vector fields. A U(1) subgroup of this symmetry is known to be anomalous at the quantum level in the presence of a non-trivial gravitational background. We first derive this anomaly from a novel perspective, by relating it to a similar anomaly in conformal supergravity where SU(1, 1) acts off shell, using the fact that 4 Poincaré supergravity has a superconformal formulation. We explicitly construct the corresponding local and nonlocal anomalous terms in the one-loop effective action. We then study how this anomaly is reflected in the supergravity S-matrix. Calculating one-loop 4 supergravity scattering amplitudes (with and without additional matter multiplets) using color/kinematics duality and the double-copy construction we find that a particular U(1) symmetry which was present in the tree-level amplitudes is broken at the quantum level. This breaking manifests itself in the appearance of new one-loop 4 supergravity amplitudes that have non-vanishing soft-scalar limits (these amplitudes are absent in > 4 supergravities). We discuss the relation between these symmetry-violating amplitudes and the corresponding U(1) anomalous term in the one-loop supergravity effective action.
AB - 4 Poincaré supergravity has a global SU(1, 1) duality symmetry that acts manifestly only on shell as it involves duality rotations of vector fields. A U(1) subgroup of this symmetry is known to be anomalous at the quantum level in the presence of a non-trivial gravitational background. We first derive this anomaly from a novel perspective, by relating it to a similar anomaly in conformal supergravity where SU(1, 1) acts off shell, using the fact that 4 Poincaré supergravity has a superconformal formulation. We explicitly construct the corresponding local and nonlocal anomalous terms in the one-loop effective action. We then study how this anomaly is reflected in the supergravity S-matrix. Calculating one-loop 4 supergravity scattering amplitudes (with and without additional matter multiplets) using color/kinematics duality and the double-copy construction we find that a particular U(1) symmetry which was present in the tree-level amplitudes is broken at the quantum level. This breaking manifests itself in the appearance of new one-loop 4 supergravity amplitudes that have non-vanishing soft-scalar limits (these amplitudes are absent in > 4 supergravities). We discuss the relation between these symmetry-violating amplitudes and the corresponding U(1) anomalous term in the one-loop supergravity effective action.
KW - Anomalies in Field and String Theories
KW - Extended Supersymmetry
KW - Supersymmetry and Duality
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U2 - 10.1007/JHEP07(2013)029
DO - 10.1007/JHEP07(2013)029
M3 - Article
AN - SCOPUS:84881318736
VL - 2013
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 7
M1 - 29
ER -