What the study found
The study finds that localized and non-uniform phases of Banks-Fischler-Shenker-Susskind (BFSS) matrix quantum mechanics arise from an instability of the uniform phase. The authors also report that the localized phase can dominate in some low-energy regimes and at low temperatures.
Why the authors say this matters
The authors conclude that their work provides first-principles derivations of these phases and their properties. They also state that they derive analytic formulas for the localized phase thermodynamics and that these agree with numerical results to better than 0.3%.
What the researchers tested
The researchers analyzed recently discovered localized and non-uniform phases of BFSS matrix quantum mechanics, building on earlier work. They used a Carrollian transformation of 11-dimensional supergravity, and they combined analytic and numerical analysis to study the resulting phases and transitions.
What worked and what didn't
They show that the strongly coupled BFSS dynamics emerge from a specific Carrollian transformation of 11-dimensional supergravity. They also demonstrate that the uniform BFSS phase corresponds to a black string in a pp-wave background, that this background is unstable to a Gregory-Laflamme instability, and that they compute the instability growth rate for the first time. The instability leads to non-uniform and localized phases, with first- and second-order phase transitions identified and analytic thermodynamic formulas for the localized phase matching numerical results to within 0.3%.
What to keep in mind
The abstract does not describe detailed limitations or uncertainties beyond the stated agreement with numerical results. It also restricts its claims to the phases, transitions, and regimes discussed there.
Key points
- Localized and non-uniform BFSS phases are linked to an instability of the uniform phase.
- The uniform BFSS phase is identified with a black string in a pp-wave background.
- The background is said to be unstable to a Gregory-Laflamme instability, and the growth rate is computed for the first time.
- Localized phases dominate in certain low-energy regimes and at low temperatures in the canonical ensemble.
- Analytic thermodynamic formulas for the localized phase agree with numerical results to better than 0.3%.
Disclosure
- Research title:
- Localized BFSS phases dominate in low-energy regimes
- Authors:
- Óscar J. C. Dias, Jorge E. Santos
- Institutions:
- University of Cambridge, University of Southampton
- Publication date:
- 2026-04-24
- OpenAlex record:
- View
Get the weekly research newsletter
Stay current with scholarly research without reading academic papers — one filtered digest, every Friday.