One-loop Holography with Strings in AdS4 x CP3

M DAVID; R DE LEON ARDON; A FARAGGI; L PANDO-ZAYAS; G A SILVA

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer

Lugar: Trieste; Año: 2019 vol. 10 p. 1 - 15

1029-8479

We compute the one-loop effective action of string configurations embedded in AdS4×ℂℙ3 which are dual to 16-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the 12-BPS case. The one-loop determinants are computed by Fourier-decomposing the two dimensional operators and then using the Gel´fand-Yaglom method. We comment on various aspects related to the regularization procedure, showing the cancellation of a hierarchy of divergences. After taking into account an IR anomaly from a change in topology, we find a precise agreement with the field theory result known from supersymmetric localization.