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Large N expansion of mass deformed ABJM matrix model: M2-instanton condensation and beyond. (arXiv:2401.11484v1 [hep-th])

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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 (m_1,m_2), which
generalize the q-Toda-like equation found previously for m_1=m_2. 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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