Large-N Free Energy of Chiral N=2 Chern-Simons-Matter Theories
1Queen Mary University of London, Centre for Theoretical Physics, Department of Physics and Astronomy, London E1 4NS, United Kingdom.
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We present the first successful large-N computation of the S^{3} free energy in chiral N=2 Chern-Simons-matter theories, long believed to evade the universal M2-brane scaling F_{S^{3}}∼N^{3/2}. 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 AdS_{4}×Q^{1,1,1}/Z_{k} and D_{3} models. The resulting free energies precisely match the holographic predictions, resolving a decade-old puzzle in AdS_{4}/CFT_{3} and establishing a practical numerical framework for precision holography in strongly coupled gauge theories.
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