Abstract
We compute the 1-loop partition function for strings in \( Ad{S}_4\times \mathrm{\mathbb{C}}{\mathrm{\mathbb{P}}}^3 \), 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.
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Aguilera-Damia, J., Correa, D.H. & Silva, G.A. Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM. J. High Energ. Phys. 2015, 2 (2015). https://doi.org/10.1007/JHEP03(2015)002
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DOI: https://doi.org/10.1007/JHEP03(2015)002