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Charge constraint in the Berenstein-Maldacena-Nastase model

Yoav Zigdon

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

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Phys. Rev. D 113, 026002 – Published 5 January, 2026

DOI: https://doi.org/10.1103/cl75-thnk

Abstract

I derive a new charge constraint in 116-Bogomol’nyi-Prasad-Sommerfield sectors of the Berenstein, Maldacena, and Nastase supersymmetric, gauged U(N) matrix quantum mechanics. It was previously shown that the supersymmetric index of the model exhibits an exponential dependence on N2 from the vacuum that preserves the full gauge group. I show that the reality of the associated entropy implies that the Cartan of SO(3) vanishes for any 116-Bogomol’nyi-Prasad-Sommerfield sector with U(N) gauge symmetry. The Berenstein-Maldacena-Nastase charge constraint could be useful to determine whether there exists a dual supersymmetric black hole solution asymptoting to a plane-wave background.

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Phys. Rev. D 113, 026002– Published 5 January, 2026
  • Received 29 September 2025
  • Accepted 22 December 2025
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