Abstract
We compute the simplest one-loop planar amplitudes in Higgsed ABJM theory at a generic point of the moduli space. We explicitly check that they can be expressed in terms of integrals which are invariant under dual conformal symmetry involving masses, in a similar fashion as inN = 4 SYM.
Highlights
Acquiring mass via the Higgs mechanism obey such a symmetry, which on the one hand is a powerful constraint for the integrals appearing in their loop corrections and on the other hand drastically simplifies the computation of the relevant integrals themselves
We explicitly check that they can be expressed in terms of integrals which are invariant under dual conformal symmetry involving masses, in a similar fashion as in N = 4 SYM
Each of the three Yukawa vertices involved in this contributions has a sign difference with respect to those used in (4.13), but it is compensated by another sign in ordering fermions when Wick contracting. We pause at this point and focus on bubble and tadpole integrals obtained from the diagrams above, whose cancellation would represent the first hint at dual conformal symmetry
Summary
Despite the fact that the strong coupling interpretation of amplitudes and their symmetries is not transparent in ABJM, one could straightforwardly study the fate of dual conformal symmetry away from the origin of the moduli space in the weak coupling perturbative expansion. To accomplish this task we focus on the same configuration described above, namely we take ABJM with gauge group U(N +M )×U(N +M ) and break it to U(N )×U(N ) plus a bunch of U(1)’s.
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