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N=4 Poincare 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
Externí odkaz:
http://arxiv.org/abs/1303.6219
Publikováno v:
Phys. Rev. Lett. 109, 241602 (2012)
Using the method of maximal cuts, we construct the complete D-dimensional integrand of the five-loop four-point amplitude of N = 4 super-Yang-Mills theory, including nonplanar contributions. In the critical dimension where this amplitude becomes ultr
Externí odkaz:
http://arxiv.org/abs/1207.6666
Publikováno v:
Phys.Rev. D85 (2012) 105014
We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N=4 super-Yang-Mills theory, including the nonplanar contributions. The duality completely determines the amplitude's integ
Externí odkaz:
http://arxiv.org/abs/1201.5366
Publikováno v:
Phys.Rev.D82:125040,2010
We present the complete four-loop four-point amplitude in N=4 super-Yang-Mills theory, for a general gauge group and general D-dimensional covariant kinematics, and including all non-planar contributions. We use the method of maximal cuts --- an effi
Externí odkaz:
http://arxiv.org/abs/1008.3327
Publikováno v:
Nucl.Phys.Proc.Suppl.205-206:54-60,2010
We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones. We summar
Externí odkaz:
http://arxiv.org/abs/1007.4297
Publikováno v:
Phys.Rev.Lett.103:081301,2009
We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well. The observed extra cancellations provide additional
Externí odkaz:
http://arxiv.org/abs/0905.2326
In this paper we describe algebraic and diagrammatic methods, related to the MHV generating function method, for evaluating and exposing the structure of supersymmetric sums over the states crossing generalized unitarity cuts of multi-loop amplitudes
Externí odkaz:
http://arxiv.org/abs/0903.5348
In this lecture we summarize recent calculations pointing to the possible ultraviolet finiteness of N = 8 supergravity in four dimensions. We outline the modern unitarity method, which enables multiloop calculations in this theory and allows us to ex
Externí odkaz:
http://arxiv.org/abs/0902.3765
Publikováno v:
Phys.Rev.D78:105019,2008
Using the method of maximal cuts, we obtain a form of the three-loop four-point scattering amplitude of N=8 supergravity in which all ultraviolet cancellations are made manifest. The Feynman loop integrals that appear have a graphical representation
Externí odkaz:
http://arxiv.org/abs/0808.4112