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Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model

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arxiv 2205.06098 v2 pith:YLS3KC37 submitted 2022-05-12 hep-th hep-lat

classification hep-thhep-lat
keywords conjecturematrixmodelresultstestberenstein-maldacena-nastasecarloconsistent
verification ladder T0 review T1 audit T2 compute T3 formal
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We test a conjecture by Maldacena and Milekhin for the ungauged version of the Berenstein-Maldacena-Nastase (BMN) matrix model by lattice Monte Carlo simulation. The numerical results reproduce the perturbative and gravity results in the limit of large and small flux parameter, respectively, and are consistent with the conjecture.

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Cited by 2 Pith papers

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

  1. Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    SO(d) and O(d) invariant sectors of d-matrix QM show negative microcanonical heat capacity that becomes positive at k_crit ~ N^2/4, forming a caloric fold similar to AdS black holes.

  2. Finite-temperature phase diagram of the BMN matrix model on the lattice

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

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