Abstract
We study a Hermitian matrix model with a kinetic term given by Tr(HΦ2), where H is a positive definite Hermitian matrix, similar as in the Kontsevich Matrix model, but with its potential Φ3 replaced by Φ4. We show that its partition function solves an integrable Schrödinger-type equation for a non-interacting N-body Harmonic oscillator system.
Original language | English |
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Article number | 48 |
Number of pages | 19 |
Journal | Letters in Mathematical Physics |
Volume | 114 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2024 |
Austrian Fields of Science 2012
- 103019 Mathematical physics
- 103012 High energy physics
Keywords
- 81R10
- 81R12
- 81T32
- 81T75
- Harmonic oscillator
- Integrable model
- Matrix model
- Noncommutative geometry