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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

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

Stratos Pateloudis , Georg Bergner , Norbert Bodendorfer , Masanori Hanada , Enrico Rinaldi , Andreas Sch\"afer This is my paper
classification hep-th hep-lat
keywords conjecturematrixmodelresultstestberenstein-maldacena-nastasecarloconsistent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    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.