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  • Open Access

Large-N Free Energy of Chiral N=2 Chern-Simons-Matter Theories

Seyed Morteza Hosseini*

  • *Contact author: morteza.hosseini@qmul.ac.uk
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Phys. Rev. Lett. 136, 091601 – Published 2 March, 2026

DOI: https://doi.org/10.1103/2bpj-jf7x

Abstract

We present the first successful large-N computation of the S3 free energy in chiral N=2 Chern-Simons-matter theories, long believed to evade the universal M2-brane scaling FS3∼N3/2. Using a stable numerical continuation method that directly solves the saddle-point equations, we obtain convergent large-N solutions for benchmark chiral quivers, including the holographic dual to AdS4×Q1,1,1/Zk and D3 models. The resulting free energies precisely match the holographic predictions, resolving a decade-old puzzle in AdS4/CFT3 and establishing a practical numerical framework for precision holography in strongly coupled gauge theories.

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Information

Phys. Rev. Lett. 136, 091601– Published 2 March, 2026
  • Received 3 November 2025
  • Revised 14 December 2025
  • Accepted 5 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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