superstring in the light-cone gauge

Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT

“…We also flash that the AdS 4 × CP 3 action of [230,231] in AdS light-cone gauge gauge offers an efficient setting for computing the dispersion relation of worldsheet excitations on the same cusp background [233], which were found to essentially agree with the predictions from the Bethe ansatz of [234].…”

“…The AdS light-cone gauge turns out to be perfectly applicable to the AdS 4 ×CP 3 Lagrangian of [230,231] As a preparation for the two-loop study in chapter 6 following what was done in [225], let us emphasise that various non-covariant integrals with components of the loop momenta in the numerators originate from the combinations of vertices and propagators. This naturally bring us to the problem of handling potentially-divergent loop integrations.…”

“…However, some subtleties related to the κ-symmetry transformations of this sigma-model will lead us in section 2.2 to consider the alternative formulation of the action proposed by D.V. Uvarov [230,231].…”

Quantum dispersion relations for the Ad S 4 × ℂ ℙ 3 $$ Ad{S}_4\times \mathrm{\mathbb{C}}{\mathrm{\mathbb{P}}}^3 $$ GKP string

“…In [48][49][50] the light-cone gauge superstring Lagrangian was derived. In [51] it was expanded around the null cusp background and the two-loop correction to the cusp anomalous dimension of ABJM at strong coupling was determined.…”

“…We parametrize CP 3 with complex variables z a andz a , transforming in the 3 and3 of SU(3) respectively, The κ-symmetry light-cone gauge-fixed Lagrangian of [48,49] takes the form…”