Citation

BibTex format

@article{Giombi:2024:10.1007/jhep11(2024)056,
author = {Giombi, S and Kurlyand, SA and Tseytlin, AA},
doi = {10.1007/jhep11(2024)056},
journal = {Journal of High Energy Physics},
title = {Non-planar corrections in ABJM theory from quantum M2 branes},
url = {http://dx.doi.org/10.1007/jhep11(2024)056},
volume = {2024},
year = {2024}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>A<jats:sc>bstract</jats:sc>                     </jats:title><jats:p>The quantization of semiclassical strings in AdS spacetimes yields predictions for the strong-coupling behaviour of the scaling dimensions of the corresponding operators in the planar limit of the dual gauge theory. Finding non-planar corrections requires computing string loops (corresponding to torus and higher genus surfaces), which is a challenging task. It turns out that in the case of the <jats:italic>U</jats:italic><jats:sub><jats:italic>k</jats:italic></jats:sub>(<jats:italic>N</jats:italic>) × <jats:italic>U</jats:italic><jats:sub>−<jats:italic>k</jats:italic></jats:sub>(<jats:italic>N</jats:italic>) ABJM theory there is an alternative approach: one may semiclassically quantize M2 branes in AdS<jats:sub>4</jats:sub> × <jats:italic>S</jats:italic><jats:sup>7</jats:sup><jats:italic>/</jats:italic><jats:sub><jats:italic>k</jats:italic></jats:sub> which are wrapped around the 11d circle of radius 1<jats:italic>/k</jats:italic> = <jats:italic>λ/N</jats:italic> . Such M2 branes are the M-theory generalization of the strings in AdS × CP<jats:sup>3</jats:sup>. In this work, we show that by expanding in large M2 brane tension <jats:italic>T</jats:italic><jats:sub>2</jats:sub> ~ <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \sqrt{kN} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">                  <mml:msqrt>                    <mml:mi>kN</mml:mi>                  </mml:msqrt>                </mml:math></jats:alternatives></jats:inline-formula> for fixed <jats:italic>k</jats:
AU  - Giombi,S
AU  - Kurlyand,SA
AU  - Tseytlin,AA
DO  - 10.1007/jhep11(2024)056
PY  - 2024///
TI  - Non-planar corrections in ABJM theory from quantum M2 branes
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep11(2024)056
VL  - 2024
ER  -
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