Giombi, S., Kurlyand, S. A., & Tseytlin, A. A. (2024). Non-planar corrections in ABJM theory from quantum M2 branes. arXiv preprint arXiv:2408.10070v3.
This research aims to develop a method for calculating non-planar corrections to the scaling dimensions of operators in ABJM theory at strong coupling, a problem that has been challenging to address using traditional string theory techniques.
The authors utilize the AdS/CFT correspondence, specifically the duality between ABJM theory and M-theory on AdS4 × S7/Zk. They propose that the non-planar corrections can be captured by semiclassically quantizing M2 branes wrapped around the 11d circle in the S7/Zk geometry. This approach is analogous to the semiclassical quantization of strings in AdS spacetimes for calculating planar contributions but extends the analysis to include string loop corrections through the M-theory perspective.
The research presents a powerful new approach to studying non-planar corrections in ABJM theory at strong coupling. By utilizing the M-theory perspective and semiclassical M2 brane quantization, the authors can access information about string loop corrections that are difficult to compute directly. This method provides valuable insights into the non-planar sector of the AdS/CFT correspondence and opens avenues for further exploration of non-planar effects in ABJM and related theories.
This work significantly contributes to the understanding of the non-planar sector of the AdS/CFT correspondence, which has been a challenging area of research. The proposed method offers a new way to study non-planar effects at strong coupling, providing insights into the quantum nature of the duality.
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by Simone Giomb... at arxiv.org 11-06-2024
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