The Low Energy Limit of BFSS Quantum Mechanics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915544947490816 |
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| author | Dias, Oscar J. C. Santos, Jorge E. |
| author_facet | Dias, Oscar J. C. Santos, Jorge E. |
| contents | We investigate the low-energy regime of BFSS quantum mechanics using its holographic dual. We identify three distinct thermodynamic phases (black holes) and analyze their thermodynamic properties extensively, including phase transitions amongst the several phases. While the properties of the canonical ensemble aligns with existing conjectures on BFSS thermodynamics, we uncover intriguing and unexpected behavior in the microcanonical ensemble. Specifically, for sufficiently low energies, we observe the dominance of the localized phase. Surprisingly, we also identify an energy range where the non-uniform phase becomes dominant. The transition between these phases is mediated by a Kol-type topology-changing phenomenon. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_15921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Low Energy Limit of BFSS Quantum Mechanics Dias, Oscar J. C. Santos, Jorge E. High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate the low-energy regime of BFSS quantum mechanics using its holographic dual. We identify three distinct thermodynamic phases (black holes) and analyze their thermodynamic properties extensively, including phase transitions amongst the several phases. While the properties of the canonical ensemble aligns with existing conjectures on BFSS thermodynamics, we uncover intriguing and unexpected behavior in the microcanonical ensemble. Specifically, for sufficiently low energies, we observe the dominance of the localized phase. Surprisingly, we also identify an energy range where the non-uniform phase becomes dominant. The transition between these phases is mediated by a Kol-type topology-changing phenomenon. |
| title | The Low Energy Limit of BFSS Quantum Mechanics |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.15921 |