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

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arxiv 2401.11484 v3 pith:7XRZJZ5V submitted 2024-01-21 hep-th math-phmath.MP

Tomoki Nosaka This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords masslargepartitionrelationsbilinearexactexpansionfunctions
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves

    hep-th 2025-01 conditional novelty 7.0 of 10

    The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.

  2. Ensembles in M-theory and Holography

    hep-th 2025-05 conditional novelty 6.0 of 10

    The M2-brane partition function should be viewed as a grand canonical object in AdS4/ABJM holography, fixing the three-form source rather than the flux number N, which resolves puzzles about Airy shifts and one-loop e...

  3. An Airy Tale at Large $N$

    hep-th 2025-02 conditional novelty 6.0 of 10

    The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.

  4. Higher-derivative corrections in M-theory from precision numerical bootstrap

    hep-th 2024-12 conditional novelty 6.0 of 10

    A numerical bootstrap with localization inputs extracts a tentative D^8R^4 higher-derivative coefficient in M-theory from ABJM correlators.

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