What the study found
The study found that thermal bootstrap bounds for large-N matrix quantum mechanics can be improved without logarithmic relaxation by using a Quantum Information Conic Solver. In the one-matrix case, the stricter bounds gave a value for the first long string excited energy that is within 0.001% of the physical value.
Why the authors say this matters
The authors say this matters because the one-matrix model can be interpreted with an effective theory of "long strings" in the low-temperature limit. They also note that the stricter bounds gave the first estimate of the first long string coupling coefficient from symmetry and self-consistency equations alone.
What the researchers tested
The researchers tested thermal bootstrapping methods for matrix quantum mechanics. They bounded the thermal energies of the large-N one-matrix anharmonic oscillator and the large-N two-matrix anharmonic oscillator using the Quantum Information Conic Solver.
What worked and what didn't
The method worked in bounding the thermal energies of both the large-N one-matrix anharmonic oscillator and the large-N two-matrix anharmonic oscillator without logarithmic relaxation. For the one-matrix model, it also produced a very accurate estimate of the first long string excited energy and an initial estimate of the first long string coupling coefficient. The abstract does not report any failed cases.
What to keep in mind
The available summary does not describe limitations, caveats, or comparisons beyond the reported bounds and estimates. The abstract also does not provide full numerical details for the two-matrix model results.
Key points
- Thermal bootstrap bounds were improved for large-N matrix quantum mechanics without logarithmic relaxation.
- A Quantum Information Conic Solver was used to bound thermal energies in one-matrix and two-matrix anharmonic oscillators.
- For the one-matrix model, the first long string excited energy was estimated within 0.001% of the physical value.
- The authors report the first estimate of the first long string coupling coefficient from symmetry and self-consistency equations alone.
- The abstract does not give detailed numerical results for the two-matrix model.
Disclosure
- Research title:
- Conic optimization tightened thermal bootstrap bounds in large-N matrix models
- Authors:
- Sophia M. Adams
- Institutions:
- Astronomy and Space
- Publication date:
- 2026-04-23
- OpenAlex record:
- View
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