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 (22)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• From weak to strong coupling in ABJM theory
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
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• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
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• Quark-antiquark potential in AdS at one loop
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Cited by in corpus (23)

• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Towards the exact Bremsstrahlung function of ABJM theory
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Exact Bremsstrahlung functions in ABJM theory
• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
• Framing and localization in Chern-Simons theories with matter
• Zeta-function Regularization of Holographic Wilson Loops
• A matrix model for the latitude Wilson loop in ABJM theory
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Localization and Duality for ABJM Latitude Wilson Loops
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Cusped Wilson lines in symmetric representations
• ADHM Wilson line defect indices
• Interpolating Bremsstrahlung function in ABJM
• Perturbations of Pulsating Strings
• Abelian dualities and line defect indices for 3d gauge theories
• Remarks on the geometrical properties of semiclassically quantized strings
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• A note on scattering amplitudes on the moduli space of ABJM