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Abstract |
We study operator insertions into one-half and one-sixth BPS Wilson loops
(defects) in ABJM theory and investigate their two-point correlators. In this
framework, the energy emitted by a heavy moving probe can be exactly obtained
from some two-point coefficients of bosonic and fermionic insertions. This
allows us to confirm an early proposal for computing the one-half BPS
Bremsstrahlung function in terms of certain supersymmetric circular Wilson
loops, whose value might be accessible to localization techniques. Moreover,
we find some simple relations between the one-sixth and one-half BPS
Bremsstrahlung functions such that we are able to compute them exactly. In
particular we compute the exact closed-form of the one-half BPS Bremsstrahlung
function in terms of the interpolating function h(lambda) that plays,
appearing in the magnon dispersion relation, a crucial role in the
integrability-based computations in ABJM. In the derivation of this result we
also elucidate the structure of protected multiplets in the relevant
superconformal defect theories. |
