Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM

Abstract

We compute the 1-loop partition function for strings in AdS 4 × CP 3 , whose worldsheets end along a line with small cusp angles in the boundary of AdS. We obtain these 1-loop results in terms of the vacuum energy for on-shell modes. Our results verify the proposal by Lewkowycz and Maldacena in arXiv:1312.5682 for the exact Bremsstrahlung function up to the next to leading order in the strong coupling expansion. The agreement is observed for cusps distorting either the 1/2 BPS or the 1/6 BPS Wilson line.

Framing and localization in Chern-Simons theories with matter

“…The explicit construction of "latitude" fermionic 1/6 BPS Wilson Loops [22] was taken into account together with some reasonable assumptions on their near-maximal circle behavior (see [20] details). The final answer, consistent with two-loop Feynman diagrams computations [23] and leading [24] and subleading [25] strong coupling expansions reads…”

Supersymmetric mixed boundary conditions in AdS2 and DCFT1 marginal deformations

“…while their supersymmetry partners with − 1 2 < m F < 1 2 have = 0 as well [33]. This implies that the 1-loop determinants for the string fluctuations dual to either the 1/2 or 1/6 BPS Wilson lines are trivial, which is consistent with the fact that these Wilson lines have unit vev.…”

“…The total vacuum energy contributing to the 1-loop partition function of the string dual to the 1/2 BPS Wilson line was computed in [33] as,…”

The full Quantum Spectral Curve for AdS4/CFT3

“…In particular, it would be very interesting to find an integrable description of some kind of generalized cusp anomalous dimension, such as the one described in [71]. This would give a direct way to test the proposals of [44,45] for the ABJM/ABJ interpolating functions, by comparison with localization results for the Brehmsstrahlung function [72][73][74][75].…”