December 5, 2025SciPost PhysicsOpen Access

Witten index of BMN matrix quantum mechanics

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This analysis computes the Witten index, showing asymptotic growth related to BPS black holes in M-theory.

The Witten index provides important insights into ground state properties of matrix quantum mechanics, indicating the presence of BPS black holes.
An N^2 growth in entropy supports the theory that BPS black holes exist asymptotic to plane-wave geometry.
Assessment using concepts from quantum mechanics demonstrates the relationship with the superconformal index of Aharony-Bergman-Jafferis-Maldacena theory.
Highlights the significance of the Witten index as a measure of ground states in high-dimensional quantum theories.

Chi Ming Chang (2025) studied this question.

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