Black holes: bridges between number theory and holographic quantum information
BLH
4 September 2023 to 20 December 2023
Programme theme
Defining a theory of quantum gravity remains one of the most challenging problems at the cutting edge of research in mathematical and theoretical physics. Unlocking this problem implies constructing a quantum field theoretic description of gravity which fully elucidates how a quantum field theory encodes gravitational spacetime background solutions.
Much of the progress in shaping the language and the framework of this problem owes its genesis to a specific subset of problems in quantum gravity, namely those dealing with understanding the organisation of information in black holes.
These problems in turn can be neatly divided into two streams of research, each dealing with a different class of black holes as systems of interest:
- The enumeration of the quantum microstates of a special class of black holes, called BPS black holes, in superstring theories through Mock modular forms and automorphic forms. This has led to uncovering a cornucopia of exciting connections between string theory and mathematical structures in the fields of number theory, finite group theory and algebraic geometry, such as the relation of BPS black holes and Mock modular forms, the relation of Moonshine and the K3 elliptic genus, and produced significant new results in the theory of automorphic forms.
- Holographic quantum information as encoder of black hole entropy. This approach contains a dazzling array of ideas and concepts rooted in the field of quantum information theory, such as quantum error correction codes and computational complexity theory, and promisingly bold new conceptual templates such as encoding aspects of black hole thermodynamics in terms of quantum extremal surfaces.
These two parallel streams of research in quantum gravity have, in the last decade, experienced unprecedented conceptual and computational leaps, with recent work on the relation of Moonshine, conformal field theories and quantum error corrections codes, as well as attempts in defining computational complexity for black holes, strongly suggesting a powerful connection between these two streams of research into quantum gravity.
The primary objective of this programme is to synergistically bring together mathematicians, mathematical physicists, string theorists and quantum information researchers in these two parallel streams united by their common focus on understanding black hole entropy. The goal is to use powerful emerging computational tools such as machine learning, and cross-pollinating concepts and calculational toolkits across disparate research lines, in order to make decisive advances in our understanding of black holes in quantum gravity.
Week November 27-December 1, 2023: Workshop on Bridges between holographic quantum information and quantum gravity
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The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:
The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Black holes: bridges between number theory and holographic quantum information, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.
Click here to download the programme's final scientific report
BLH programme: interview with the team of organisers
Preprints
| Title | Year | Programme | Publication Date |
|---|---|---|---|
The light we can see: Extracting black holes from weak Jacobi formsAuthors: Luis Apolo, Suzanne Bintanja, Alejandra Castro, Diego Liska |
2023 | BLH | 17 July 2024 |
Spinning up the spool: Massive spinning fields in 3d quantum gravityAuthors: Robert Bourne, Alejandra Castro, Jackson R. Fliss |
2023 | BLH | 17 July 2024 |
Carroll strings with an extended symmetry algebraAuthors: Larus Thorlacius, Matthias Harksen, Diego Hidalgo, Watse Sybesma |
2023 | BLH | 17 July 2024 |
Post AdS/CFTAuthors: Larus Thorlacius, David Lowe |
2023 | BLH | 17 July 2024 |
Classical integrability in the presence of a cosmological constant: analytic and machine learning resultsAuthors: Gabriel Lopes Cardoso, Damian Mayorga Peña, Suresh Nampuri |
2023 | BLH | 30 May 2024 |
Riemann-Hilbert problems, Toeplitz operators and ergosurfacesAuthors: M. Cristina Câmara, Gabriel Lopes Cardoso |
2023 | BLH | 30 May 2024 |
T-dualities in gauged linear sigma modelsAuthors: Nana Cabo Bizet |
2023 | BLH | 24 April 2024 |
The Schwarzian from gauge theoriesAuthors: Alejandro Cabo Bizet |
2023 | BLH | 17 April 2024 |
Energy scales and scalar evolutions on a string modelAuthors: Nana Cabo Bizet |
2023 | BLH | 12 March 2024 |
New string symmetriesAuthors: Nana Cabo Bizet |
2023 | BLH | 12 March 2024 |
Conformal field theory on $T¥bar{T}$-deformed space and correlators from dynamical coordinate transformationsAuthors: Shinji Hirano, Masaki Shigemori |
2023 | BLH | 14 February 2024 |
T-duality across non-extremal horizonsAuthors: Thomas Mohaupt, Maxime Medevielle |
2023 | BLH | 1 February 2024 |
Physical Yukawa Couplings in Heterotic String CompactificationsAuthors: Giorgi Butbaia, Damian Mayorga Peña, Justin Tan, Per Berglund, Tristan Hubsch, Vishnu Jejjala, Challenger Mishra |
2023 | BLH | 1 February 2024 |
Supersymmetric Casimir energy on N=1 conformal supergravity backgroundsAuthors: Ioannis Papadimitriou, Pantelis Panopoulos |
2023 | BLH | 3 January 2024 |
Thermodynamics of black holes with probeD-branesAuthors: 29080, Alejandro Cabo Bizet, Marina David |
2023 | BLH | 28 December 2023 |
Chiral algebra from worldsheetAuthors: Wei Li |
2023 | BLH | 18 December 2023 |
Charging solid partitionsAuthors: Dmitry Galakhov, Wei Li |
2023 | BLH | 18 December 2023 |
A generalized Selberg zeta function for flat space cosmologiesAuthors: Arjun Bagchi, Cynthia Keeler, Victoria Martin, Rahul Poddar |
2023 | BLH | 14 December 2023 |
Tearing down spacetime with quantum disentanglementAuthors: Roberto Emparan, Javier M. Magán |
2023 | BLH | 14 December 2023 |
Learning to be SimpleAuthors: Yang-Hui He, Vishnu Jejjala, Challenger Mishra, Max Sharnoff |
2023 | BLH | 13 December 2023 |
Hyperbolization of affine Lie algebrasAuthors: Kaiwen Sun |
2023 | BLH | 7 December 2023 |
Black hole—wormhole transitions in two dimensional string theoryAuthors: Panos Betzios, Nava Gaddam, Olga Papadoulakic |
2023 | BLH | 6 December 2023 |
DATA-SCIENTIFIC STUDY OF KRONECKER COEFFICIENTSAuthors: Kyu-Hwan Lee |
2023 | BLH | 27 November 2023 |
Generalized Narain Theories Decoded: Discussions on Eisenstein series, Characteristics, Orbifolds, Discriminants & Ensembles in any DimensionAuthors: Meer Ashwinkumar, Abhiram Kidambi, Jacob M. Leedom, Masahito Yamazaki |
2023 | BLH | 10 November 2023 |
Non-Abelian T-dualities in Two Dimensional (0, 2) Gauged Linear Sigma ModelsAuthors: Nana Cabo Bizet, Josue Dıaz-Correa, Hugo Garcia-Compean |
2023 | BLH | 23 October 2023 |
Gravitational dynamics from collective field theoryAuthors: Robert de Mello Koch |
2023 | BLH | 17 October 2023 |
Hypermultiplet metric and NS5-instantonsAuthors: Sergei Alexandrov, Khalil Bendriss |
2023 | BLH | 9 October 2023 |
Workshops
Number theory, machine learning and quantum black holes
2 October 2023 to 6 October 2023
Machine learning toolkits and integrability techniques in gravity
6 November 2023 to 10 November 2023
Machine Learning: Portents and Possibilities
8 November 2023 to 8 November 2023
Bridges between holographic quantum information and quantum gravity
27 November 2023 to 1 December 2023
Examining, discussing, and promoting EDI initiatives in the mathematical sciences
5 December 2023 to 5 December 2023
Seminars
| Monday 4th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Atish Dabholkar Abdus Salam International Centre for Theoretical Physics |
Discussion Room | 
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| Wednesday 6th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Kyu-Hwan Lee University of Connecticut |
Discussion Room |
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| Thursday 7th September 2023 | |||
|---|---|---|---|
| 11:00 to 12:00 |
Kevin Buzzard Imperial College London |
Discussion Room | |
| Monday 11th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Jerome Gauntlett Imperial College London |
Room 2 |
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| Wednesday 13th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Caner Nazaroglu University of Cologne |
Room 2 |
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| Thursday 14th September 2023 | |||
|---|---|---|---|
| 09:00 to 10:30 |
Johanna Erdmenger Julius-Maximilians-Universität Würzburg |
Room 2 |
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| Friday 15th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Yang-Hui He London Institute for Mathematical Sciences; Merton College |
Room 2 |
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| Monday 18th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Albrecht Klemm Physikalisches Institut Bonn University; Universität Bonn |
Room 2 |
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| Wednesday 20th September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Larry Rolen Vanderbilt University |
Room 2 |
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| Friday 22nd September 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Yang-Hui He London Institute for Mathematical Sciences; Merton College |
Room 2 |
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| Monday 9th October 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Manus Visser University of Cambridge |
Room 2 |
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| Wednesday 11th October 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Axel Kleinschmidt Max-Planck-Institut für Gravitationphysik |
Room 2 |
|
| Friday 13th October 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Challenger Mishra University of Cambridge |
Room 2 |
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| Monday 16th October 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Yolanda Lozano Universidad de Oviedo |
Room 2 |
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| Wednesday 18th October 2023 | |||
|---|---|---|---|
| 16:00 to 17:30 |
Challenger Mishra University of Cambridge |
Room 2 |
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| Friday 20th October 2023 | |||
|---|---|---|---|
| 16:00 to 17:30 |
Challenger Mishra University of Cambridge |
Room 2 |
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| Monday 23rd October 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Robert de Mello Koch Huzhou University |
Room 1 |
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| Wednesday 25th October 2023 | |||
|---|---|---|---|
| 13:00 to 14:30 |
Justin David Indian Institute of Science |
Room 2 |
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| Monday 30th October 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Sven Krippendorf Ludwig-Maximilians-Universität München |
Room 2 |
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| Wednesday 1st November 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Thomas Mohaupt University of Liverpool |
Room 2 |
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| Friday 3rd November 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Gabriel Lopes Cardoso Instituto Superior Técnico, Lisboa |
Room 2 |
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| Monday 20th November 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Monica Kang University of Pennsylvania |
Room 2 |
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| Wednesday 22nd November 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Roberto Emparan Universitat de Barcelona; ICREA and Universitat Autonoma de Barcelona |
Room 2 |
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| Friday 24th November 2023 | |||
|---|---|---|---|
| 10:30 to 12:00 |
Larus Thorlacius University of Iceland |
Room 2 |
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Organisers
- Alejandra Castro University of Cambridge
- Robert de Mello Koch Huzhou University
- Yang-Hui He London Institute for Mathematical Sciences; Merton College
- Gabriel Lopes Cardoso Instituto Superior Técnico, Lisboa
- Sameer Murthy King's College London
- Suresh Nampuri Instituto Superior Técnico, Lisboa
- Larus Thorlacius University of Iceland
Speakers
- Kevin Buzzard Imperial College London
- Atish Dabholkar Abdus Salam International Centre for Theoretical Physics
- Justin David Indian Institute of Science
- Robert de Mello Koch Huzhou University
- Roberto Emparan Universitat de Barcelona; ICREA and Universitat Autonoma de Barcelona
- Johanna Erdmenger Julius-Maximilians-Universität Würzburg
- Jerome Gauntlett Imperial College London
- Yang-Hui He London Institute for Mathematical Sciences; Merton College
- Monica Kang University of Pennsylvania
- Axel Kleinschmidt Max-Planck-Institut für Gravitationphysik
- Albrecht Klemm Physikalisches Institut Bonn University; Universität Bonn
- Sven Krippendorf Ludwig-Maximilians-Universität München
- Kyu-Hwan Lee University of Connecticut
- Gabriel Lopes Cardoso Instituto Superior Técnico, Lisboa
- Yolanda Lozano Universidad de Oviedo
- Challenger Mishra University of Cambridge
- Thomas Mohaupt University of Liverpool
- Caner Nazaroglu University of Cologne
- Larry Rolen Vanderbilt University
- Larus Thorlacius University of Iceland
- Manus Visser University of Cambridge
Participants
- Sergei Alexandrov Université de Montpellier
- Murad Alim Universität Hamburg
- Arash Ardehali Stony Brook University
- Cameron Beetar University of Cape Town
- David Berman Queen Mary University of London; Cambridge Consultants
- Atanu Bhatta University of the Witwatersrand
- Suzanne Bintanja Universiteit van Amsterdam
- Giorgi Butbaia University of New Hampshire
- Nana Cabo Bizet Universidad de Guanajuato
- Alejandro Cabo Bizet Università del Salento
- Philip Candelas University of Oxford
- Pawel Caputa University of Warsaw
- Alejandra Castro University of Cambridge
- Scott Collier Princeton University
- Ioana Coman University of Tokyo
- Bartek Czech Tsinghua University
- Atish Dabholkar Abdus Salam International Centre for Theoretical Physics
- Sumit Das University of Kentucky
- Marina David KU Leuven
- Justin David Indian Institute of Science
- José de Jesús Pérez Lona Universidad de Guanajuato
- Xenia de la Ossa University of Oxford
- Robert de Mello Koch Huzhou University
- Roberto Emparan Universitat de Barcelona; ICREA and Universitat Autonoma de Barcelona
- Netta Engelhardt Massachusetts Institute of Technology
- Johanna Erdmenger Julius-Maximilians-Universität Würzburg
- Ricardo Espindola romero Tsinghua University
- Ben Freivogel Universiteit van Amsterdam
- Nava Gaddam International Centre for Theoretical Sciences
- Federico Galli Istituto Nazionale di Fisica Nucleare - Sezione di Firenze
- Jerome Gauntlett Imperial College London
- Fridrik Gautason University of Iceland
- Alfredo González lezcano Asia Pacific Center for Theoretical Physics
- Matthias Harksen University of Iceland
- Yang-Hui He London Institute for Mathematical Sciences; Merton College
- Shinji Hirano Huzhou University; Kyoto University
- Luca Iliesiu Stanford University
- Vishnu Jejjala University of the Witwatersrand
- Antal Jevicki Brown University
- Monica Kang University of Pennsylvania
- Abhiram Kidambi University of Tokyo; Max Planck Institute for Mathematics in the Sciences
- Albrecht Klemm Physikalisches Institut Bonn University; Universität Bonn
- Sven Krippendorf Ludwig-Maximilians-Universität München
- Kyu-Hwan Lee University of Connecticut
- Kimyeong Lee Korea Institute for Advanced Study (KIAS)
- Wei Li Institute of Theortetical Physics, Chinese Academy of Sciences
- Lek-Heng Lim University of Chicago
- Gabriel Lopes Cardoso Instituto Superior Técnico, Lisboa
- Yolanda Lozano Universidad de Oviedo
- Swapna Mahapatra UTKAL UNIVERSITY
- Suvajit Majumdar City, University of London
- Emanuel Malek Humboldt-Universität zu Berlin
- Jan Manschot Trinity College Dublin
- Victoria Martin University of Iceland
- Lionel Mason University of Oxford
- Damian Mayorga Peña University of the Witwatersrand; Instituto Superior Técnico, Lisboa
- Dmitry Melnikov International Institute of Physics - UFRN
- Vyshnav Mohan University of Iceland
- Thomas Mohaupt University of Liverpool
- Sameer Murthy King's College London
- Suresh Nampuri Instituto Superior Técnico, Lisboa
- Caner Nazaroglu University of Cologne
- Thomas Oliver University of Westminster
- Ioannis Papadimitriou National and Capodistrian University of Athens
- Rahul Poddar University of Iceland
- Suvrat Raju International Centre for Theoretical Sciences
- Sanjaye Ramgoolam Queen Mary University of London
- Shlomo Razamat Technion - Israel Institute of Technology
- Larry Rolen Vanderbilt University
- Simon Ross University of Durham
- Marti Rosselló King's College London
- Pratik Roy University of the Witwatersrand
- Roberto Santos Silva Universidad de Guadalajara
- Joan Simon University of Edinburgh
- James Frank Sparks University of Oxford
- Antony Speranza University of Illinois at Urbana-Champaign
- Kaiwen Sun Max Planck Institute for Mathematics
- Andrew Svesko University College London
- Brian Swingle Brandeis University
- Zhao-He Watse Sybesma University of Cambridge; University of Iceland
- Larus Thorlacius University of Iceland
- Marija Tomašević Universiteit van Amsterdam
- Evita Verheijden Harvard University
- Manus Visser University of Cambridge
- Aron Wall University of Cambridge
- Katrin Wendland Trinity College Dublin
- Masahito Yamazaki University of Tokyo
- Takuya Yoda Kyoto University
- Junggi Yoon Asia Pacific Center for Theoretical Physics
- Ivonne Zavala Swansea University
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