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 $Ad{S}_4\times {\mathbb{CP}}^3$, 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.

28 pages

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Quark-antiquark potential in AdS at one loop
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• Two-loop cusp anomaly in ABJM at strong coupling

Cited by in corpus (1)

• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations