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BPS Non-Renormalization in the BMN Matrix Model

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abstract

We show in the $(0+1)$-dimensional Berenstein-Maldacena-Nastase matrix model, dual to M-theory on a pp-wave background, that the coupling can be changed between any two finite, non-zero values using a special class of deformations, known as conjugation deformations. Importantly, we prove that they preserve normalizability of the states. This implies that BPS states in the model cannot lift as the couplings are varied, and hence their (unsigned) number cannot change, except at the free point and Banks-Fischler-Shenker-Susskind point.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Quantum black hole cohomologies

hep-th · 2026-06-26 · unverdicted · novelty 5.0

In the SU(2) maximal SYM theory, some fortuitous cohomologies are lifted by 1-loop corrections while the lightest and hairy versions are not, yielding at least 1.2% higher entropy for classical cohomologies than for strictly protected states in the Cardy limit.

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  • Quantum black hole cohomologies hep-th · 2026-06-26 · unverdicted · none · ref 21 · internal anchor

    In the SU(2) maximal SYM theory, some fortuitous cohomologies are lifted by 1-loop corrections while the lightest and hairy versions are not, yielding at least 1.2% higher entropy for classical cohomologies than for strictly protected states in the Cardy limit.