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キーワード:
High Energy Physics - Theory, hep-th
要旨:
To explore color/kinematics duality for general representations of the gauge
group we formulate the duality for general abelian orbifolds of the SU(N), N=4
super Yang-Mills theory in four dimensions, which have fields in the
bi-fundamental representation, and use it to construct explicitly complete
four-vector and four-scalar amplitudes at one loop. For fixed number of
supercharges, graph-organized L-loop n-point integrands of all orbifold
theories are given in terms of a fixed set of polynomials labeled by L
representations of the orbifold group. In contrast to the standard
duality-satisfying presentation of amplitudes of the N=4 super Yang-Mills
theory, each graph may appear several times with different internal states. The
color and R-charge flow provide a way to deform the amplitudes of orbifold
theories to those of more general quiver gauge theories which do not
necessarily exhibit color/kinematics duality on their own. Based on the
organization of amplitudes required by the duality between color and kinematics
in orbifold theories we show how the amplitudes of certain non-factorized
matter-coupled supergravity theories can be found through a double-copy
construction. We also carry out a comprehensive search for theories with fields
solely in the adjoint representation of the gauge group and amplitudes
exhibiting color/kinematics duality for all external states and find an
interesting relation between supersymmetry and existence of the duality.
