What the study found
The study finds that the recently discovered localized and non-uniform phases of BFSS matrix quantum mechanics can be derived from first principles. It also finds that the uniform BFSS phase corresponds to a black string in a pp-wave background, which is unstable to a Gregory-Laflamme instability.
Why the authors say this matters
The authors say this matters because the strongly coupled BFSS dynamics can be understood through a specific Carrollian transformation of 11-dimensional supergravity. They also state that the instability leads to phases that dominate certain low-energy or low-temperature ensembles, and they identify phase transitions between them.
What the researchers tested
The researchers analyzed localized and non-uniform phases of the Banks-Fischler-Shenker-Susskind (BFSS) matrix quantum mechanics. They built on prior work, used analytic and numerical methods, justified a Carrollian transformation of 11-dimensional supergravity, and computed the growth rate of the Gregory-Laflamme instability.
What worked and what didn't
They found that the uniform phase is unstable to the Gregory-Laflamme mode, and they computed its growth rate for the first time. They report that the instability gives rise to non-uniform and localized phases, with the localized phase dominating the microcanonical ensemble in certain low-energy regimes and also prevailing in the canonical ensemble at low temperatures. They further derive analytic formulas for the localized-phase thermodynamics that agree with numerical results to better than 0.3%.
What to keep in mind
The abstract does not provide detailed limitations beyond the stated regimes where phases dominate. The summary here is limited to the title and abstract, so no additional caveats or broader generalizations can be added.
Key points
- The paper analyzes localized and non-uniform phases of BFSS matrix quantum mechanics.
- The uniform BFSS phase is described as a black string in a pp-wave background.
- The authors report that this background is unstable to a Gregory-Laflamme instability and compute its growth rate for the first time.
- Localized phases dominate certain low-energy microcanonical regimes and low-temperature canonical regimes.
- Analytic thermodynamic formulas for the localized phase match numerical results to better than 0.3%.
Disclosure
- Research title:
- Localized BFSS phases are linked to instability and phase transitions
- Authors:
- Óscar J. C. Dias, Jorge E. Santos
- Institutions:
- University of Southampton, University of Cambridge
- Publication date:
- 2026-04-24
- OpenAlex record:
- View
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