Large N expansion of mass deformed ABJM matrix model: M2-instanton condensation and beyond

2024/01/21 by Tomoki Nosaka, Nosaka, Tomoki · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2401.11484

openalex publication_date 2024/01/21 · openalex created_date 2024/01/24 · openalex updated_date 2026/07/28

Abstract

We find new bilinear relations for the partition functions of U(N)_k x U(N+M)_-k ABJ theory with two parameter mass deformation (m₁,m₂), which generalize the q-Toda-like equation found previously for m₁=m₂. By combining the bilinear relations with the Seiberg-like dualities and the duality cascade relations, we can determine the exact values of the partition functions recursively with respect to N. This method is more efficient than the exact calculation by the standard TBA-like approach in the Fermi gas formalism. As an application we study the large N asymptotics of the partition function with the mass parameters in the supercritical regime where the large N expansion obtained for small mass parameters is invalid.

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