Large-N Matrix Models and Emergent Geometry
Over decades, large N Matrix models have played a key role in quantum geometry, string theory and the holographic correspondence. Recent years have witnessed conceptual, analytic and numerical advances in this field. These advances have provided a deeper understanding of how these and related models lead to emergent space in various contexts, leading to non-perturbative formulations of string theory and quantum gravity.
The aim of this one week workshop is to assess recent progress in the field, formulate future challenges and new ideas, and strengthen scientific collaboration.
Sept. 4, 2023
Sept. 5, 2023
Sept. 6, 2023
Sept. 7, 2023
Sept. 8, 2023
09:00 — 09:30
Registration ＆Welcome
09:30 — 10:20
Alexander Frenkel (Stanford U)
Entanglement in Matrix Quantum Mechanics
Entanglement in Matrix Quantum Mechanics
10:30 — 11:00
Coffee break
11:00 — 11:40
David Berenstein (UC, Santa Barbara)
Strings, Young diagrams and all that.
Strings, Young diagrams and all that.
11:50 — 14:00
Lunch break
14:00 — 14:40
Gautam Mandal (TIFR Mumbai)
A fresh look at the large N limit of matrix models and holography
A fresh look at the large N limit of matrix models and holography
14:45 — 15:10
Sumit Ranjan Das (U Kentucky)
Entanglement of Internal Degrees of Freedom and Holography
Entanglement of Internal Degrees of Freedom and Holography
15:15 — 15:45
Coffe break
15:45 — 16:10
Junggi Yoon (APCTP)
Gravitational edge mode for AdS2
Gravitational edge mode for AdS2
16:15 — 16:55
Sanjaye Ramgoolam (QMU London)
Classical identification of emergent geometries in AdS spacetimes and quantum algorithms for algebras in dual CFTs.
Classical identification of emergent geometries in AdS spacetimes and quantum algorithms for algebras in dual CFTs.
09:30 — 10:20
Henry Lin (Stanford U)
Review of the large N matrix bootstrap
Review of the large N matrix bootstrap
10:30 — 11:00
Coffee break
11:00 — 11:40
Masanori Hanada (QMU London)
Recent numerical results on D0-brane matrix model
Recent numerical results on D0-brane matrix model
11:50 — 14:00
Lunch break
14:00 — 14:40
Asato Tsuchiya (Shizuoka U)
Renormalization group and quantum error correction
Renormalization group and quantum error correction
14:45 — 15:25
Denjoe O'Connor (DIAS, Dublin)
Trace Relations and Matrix Models
Trace Relations and Matrix Models
15:30 — 16:00
Coffee break
16:00 — 16:40
Adam Tropper (Harvard U, Cambridge)
New Symmetries in Old Matrix Models
New Symmetries in Old Matrix Models
16:45 — 17:25
Antal Jevicki (Brown U, Providence)
Symmetries and Hilbert Space at Large N
Symmetries and Hilbert Space at Large N
09:30 — 10:20
Robert de Mello Koch (Huzhou U)
Microscopic Entanglement Wedges from Bilocal Holography
Microscopic Entanglement Wedges from Bilocal Holography
10:30 — 11:00
Coffee break
11:00 — 11:40
Joao Rodrigues (U of Witwatersrand)
Large N Master Field Optimization for Multi-Matrix Systems
Large N Master Field Optimization for Multi-Matrix Systems
11:45 — 12:25
Johanna Erdmenger (U Würzburg)
Discrete Holography
Discrete Holography
12:30 — 13:00
Samuel Kovacik (Comenius U, Bratislava)
The Fuzzy Onion
The Fuzzy Onion
13:00 — 19:00
free afternoon
19:00 — 21:00
Conference dinner (Heuriger)
09:30 — 10:20
Jun Nishimura (KEK, Tsukuba)
Lorentzian IKKT matrix model with the mass term as a nonperturbative formulation of superstring theory
Lorentzian IKKT matrix model with the mass term as a nonperturbative formulation of superstring theory
10:30 — 11:00
Coffee break
11:00 — 11:40
Konstantinos Anagnostopoulos (National and Technical U of Athens)
Recent progress in the numerical studies of the Lorentzian IKKT model
Recent progress in the numerical studies of the Lorentzian IKKT model
11:50 — 14:00
Lunch break
14:00 — 14:30
Yuhma Asano (U of Tsukuba)
Perturbative superstring theory and the IKKT matrix model
Perturbative superstring theory and the IKKT matrix model
14:35 — 15:15
Harold Steinacker (U of Vienna)
3+1-dimensional gravity as a quantum effect in the IKKT model
3+1-dimensional gravity as a quantum effect in the IKKT model
15:20 — 15:50
Coffee break
15:50 — 16:20
Tung Tran (U of Mons)
(Quasi-)chiral higher-spin theories from twistor space
(Quasi-)chiral higher-spin theories from twistor space
16:25 — 16:50
Battista Emmanuele (U of Vienna)
The propagation of fermions on curved backgrounds of matrix models
The propagation of fermions on curved backgrounds of matrix models
09:30 — 10:10
Hikaru Kawai (National Taiwan University)
Quantum Phase Transition and Naturalness in Generalized Effective Action
Quantum Phase Transition and Naturalness in Generalized Effective Action
10:20 — 11:00
Coffee break
11:00 — 11:40
Robert Brandenberger (McGill U)
Emergent Metric Space-Time and Early Universe Cosmology from the BFSS Matrix Model
Emergent Metric Space-Time and Early Universe Cosmology from the BFSS Matrix Model
11:50 — 14:00
Lunch break
14:00 — 14:30
Suddhasattwa Brahma (U of Edinburgh)
Emergent Matrix Cosmology
Emergent Matrix Cosmology
14:35 — 15:00
Samuel Laliberte (McGill U)
A Wilsonian effective action for (1+3+6)-dimensional emergent universes in the IKKT model
A Wilsonian effective action for (1+3+6)-dimensional emergent universes in the IKKT model
15:05 — 15:30
15:30 — 16:00
Discussions & short unscheduled contributions & farewell
Organizers
| Name | Affiliation |
|---|---|
| Sumit Ranjan Das | University of Kentucky |
| Masanori Hanada | Queen Mary University of London |
| Sean Hartnoll | University of Cambridge |
| Antal Jevicki | Brown University |
| Joanna Karczmarek | University of British Columbia Vancouver |
| Harold Steinacker | University of Vienna |
Attendees
| Name | Affiliation |
|---|---|
| Konstantinos Anagnostopoulos | National and Technical University of Athens |
| Yuhma Asano | University of Tsukuba |
| David Berenstein | University of California, Santa Barbara |
| Suddhasattwa Brahma | University of Edinburgh |
| Robert Brandenberger | McGill University |
| Maja Buric | University of Belgrade |
| Robert de Mello Koch | Huzhou University |
| Battista Emmanuele | University of Vienna |
| Johanna Erdmenger | University of Würzburg |
| Veselin Filev | Bulgarian Academy of Science |
| Alexander Frenkel | Stanford University |
| L Glaser | University of Vienna |
| Harald Grosse | University of Vienna |
| Hikaru Kawai | National Taiwan University |
| Samuel Kovacik | Comenius University |
| Samuel Laliberte | McGill University |
| Henry Lin | Stanford University |
| Sinong Liu | University of Warsaw |
| Gautam Mandal | Tata Institute of Fundamental Research, Mumbai |
| Alessandro Manta | University of Vienna |
| Jun Nishimura | KEK Theory Center |
| Denjoe O'Connor | Dublin Institute for Advanced Studies |
| Sanjaye Ramgoolam | Queen Mary University of London |
| Joao Rodrigues | University of Witwatersrand |
| Ronak Soni | University of Cambridge |
| Juraj Tekel | Comenius University |
| Tung Tran | University of Mons |
| Adam Tropper | Harvard University |
| Asato Tsuchiya | Shizuoka University |
| Gabriel Wong | Harvard University |
| Junggi Yoon | Asia Pacific Center for Theoretical Physics |
Alexander Frenkel (Stanford U): Entanglement in Matrix Quantum Mechanics
Sept. 4, 2023 09:30 — 10:20
Sept. 4, 2023 09:30 — 10:20
David Berenstein (UC, Santa Barbara): Strings, Young diagrams and all that.
Sept. 4, 2023 11:00 — 11:40
Sept. 4, 2023 11:00 — 11:40
Sumit Ranjan Das (U Kentucky): Entanglement of Internal Degrees of Freedom and Holography
Sept. 4, 2023 14:45 — 15:10
Sept. 4, 2023 14:45 — 15:10
Sanjaye Ramgoolam (QMU London): Classical identification of emergent geometries in AdS spacetimes and quantum algorithms for algebras in dual CFTs.
Sept. 4, 2023 16:15 — 16:55
Sept. 4, 2023 16:15 — 16:55
Masanori Hanada (QMU London): Recent numerical results on D0-brane matrix model
Sept. 5, 2023 11:00 — 11:40
Sept. 5, 2023 11:00 — 11:40
Asato Tsuchiya (Shizuoka U): Renormalization group and quantum error correction
Sept. 5, 2023 14:00 — 14:40
Sept. 5, 2023 14:00 — 14:40
Adam Tropper (Harvard U, Cambridge): New Symmetries in Old Matrix Models
Sept. 5, 2023 16:00 — 16:40
Sept. 5, 2023 16:00 — 16:40
Robert de Mello Koch (Huzhou U): Microscopic Entanglement Wedges from Bilocal Holography
Sept. 6, 2023 09:30 — 10:20
Sept. 6, 2023 09:30 — 10:20
Jun Nishimura (KEK, Tsukuba): Lorentzian IKKT matrix model with the mass term as a nonperturbative formulation of superstring theory
Sept. 7, 2023 09:30 — 10:20
Sept. 7, 2023 09:30 — 10:20
Konstantinos Anagnostopoulos (National and Technical U of Athens): Recent progress in the numerical studies of the Lorentzian IKKT model
Sept. 7, 2023 11:00 — 11:40
Sept. 7, 2023 11:00 — 11:40
Harold Steinacker (U of Vienna): 3+1-dimensional gravity as a quantum effect in the IKKT model
Sept. 7, 2023 14:35 — 15:15
Sept. 7, 2023 14:35 — 15:15
Battista Emmanuele (U of Vienna): The propagation of fermions on curved backgrounds of matrix models
Sept. 7, 2023 16:25 — 16:50
Sept. 7, 2023 16:25 — 16:50
Hikaru Kawai (National Taiwan University): Quantum Phase Transition and Naturalness in Generalized Effective Action
Sept. 8, 2023 09:30 — 10:10
Sept. 8, 2023 09:30 — 10:10
Robert Brandenberger (McGill U): Emergent Metric Space-Time and Early Universe Cosmology from the BFSS Matrix Model
Sept. 8, 2023 11:00 — 11:40
Sept. 8, 2023 11:00 — 11:40
Samuel Laliberte (McGill U): A Wilsonian effective action for (1+3+6)-dimensional emergent universes in the IKKT model
Sept. 8, 2023 14:35 — 15:00
Sept. 8, 2023 14:35 — 15:00
At a glance
- Type:
- Workshop
- When:
- Sept. 4, 2023 — Sept. 8, 2023
- Where:
- ESI Boltzmann Lecture Hall
- Organizer(s):
-
Sumit Ranjan Das (U Kentucky)
Masanori Hanada (QMU London)
Sean Hartnoll (U of Cambridge)
Antal Jevicki (Brown U, Providence)
Joanna Karczmarek (UBC)
Harold Steinacker (U of Vienna)