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| Jackiw–Teitelboim gravity | |
|---|---|
| Name | Jackiw–Teitelboim gravity |
| Other names | JT gravity |
| Field | Theoretical physics |
| Introduced | 1984 |
| Creators | Roman Jackiw, Claudio Teitelboim |
| Related | Sachdev–Ye–Kitaev model, Anti-de Sitter space, Schwarzian action |
Jackiw–Teitelboim gravity is a two-dimensional model of dilaton gravity introduced by Roman Jackiw and Claudio Teitelboim. The model captures aspects of black hole thermodynamics, quantum gravity, and holography within a simplified setting that connects to emergent quantum chaotic systems and low-dimensional quantum field theories. It has become central to recent work relating gravity, quantum many-body physics, and the AdS/CFT correspondence.
Jackiw–Teitelboim gravity was independently proposed by Roman Jackiw and Claudio Teitelboim in the 1980s, contemporaneous with developments by Stephen Hawking, Gerard 't Hooft, Jacob Bekenstein, John Preskill, and Don Page on black hole entropy and information. The model is formulated on two-dimensional manifolds such as Anti-de Sitter space and shares conceptual links with research by Edward Witten, Juan Maldacena, Leonard Susskind, Andrew Strominger, and Gary Horowitz on holographic duality. Its study has been furthered in the context of quantum chaos and condensed matter inspired work by Subir Sachdev, Jorge Teitelbaum (note: Teitelboim collaborator), Alexei Kitaev, Andrey Losev, and groups at institutions like MIT, Harvard University, Princeton University, Stanford University, and Institute for Advanced Study.
The JT action couples a scalar dilaton field to the two-dimensional metric and was derived in the tradition of lower-dimensional gravity models studied by Stephen Hawking, Graham Ross, Paul Townsend, and Michael Duff. Its action involves the Ricci scalar on manifolds considered by Simón Donaldson and uses variational principles familiar from work by Noether and Emmy Noether-inspired formalisms developed at Caltech and University of Cambridge. Field equations reduce to constant curvature conditions analogous to solutions classified by Élie Cartan and studied by Hermann Weyl, with boundary terms treated in the spirit of analyses by James York and Gary Gibbons.
Classical solutions include two-dimensional analogues of black holes related to the Schwarzschild solution investigated by Karl Schwarzschild and the BTZ black hole studied by Bañados Teitelboim Zanelli. The model admits spacetimes equivalent to patches of Anti-de Sitter space studied by Maldacena and asymptotically AdS geometries analyzed by Vladimir Belinski and Anatoly Starobinsky. Thermodynamic properties are compared to the laws of black hole mechanics formulated by Bekenstein and Hawking, with entropy derivations paralleling techniques of Jacobson, Padmanabhan, and Ted Jacobson.
Quantization of JT gravity proceeds via path integral and canonical routes drawing on methods from Richard Feynman, Paul Dirac, Bryce DeWitt, and Leonard Susskind. Path integral over metrics and dilatons connects to matrix integral techniques from Freeman Dyson and nonperturbative methods used by Edward Witten and Max Tegmark in related contexts. Semiclassical expansions invoke saddle point analyses akin to those in work by Sidney Coleman, Gerard 't Hooft, Alexander Polyakov, and Igor Klebanov, while exact evaluations use tools developed by Miguel Virasoro-inspired conformal field theory communities at ETH Zurich and Perimeter Institute.
JT gravity is linked to the Sachdev–Ye–Kitaev family of models where Subir Sachdev, Jing Ye, and Alexei Kitaev highlighted connections among quantum chaos, random interactions, and gravity. The low-energy effective action reduces to a Schwarzian theory studied by Adrian Alekseev, Alexander Schwarz, Matilde Marcolli, and researchers at Harvard and MIT. Holographic interpretations build on the AdS/CFT correspondence developed by Juan Maldacena, Edward Witten, Steven Gubser, Igor Klebanov, and Per Kraus, relating boundary reparametrizations to bulk dynamics investigated by Steve Shenker, Douglas Stanford, Don Marolf, and Henry Maxfield.
Applications span studies of quantum information in gravitational settings addressed by Patrick Hayden, John Preskill, Almheiri (Ahmed Almheiri), Don Marolf, Geoffrey Penington, and Ahmed Almheiri's collaborators. JT gravity informs computations of entropy islands explored by Raphael Bousso, Netta Engelhardt, Almheiri, and Don Marolf, with implications for the black hole information paradox pursued by Stephen Hawking and Samir Mathur. Connections to condensed matter include parallels drawn with disordered fermion systems studied by Phil Anderson, Sidney Coleman, and groups at Bell Labs and Los Alamos National Laboratory.
The mathematical backbone invokes two-dimensional geometry and group theoretic structures with input from Élie Cartan, Hermann Weyl, Sophus Lie, and modern developments by Maxwell Rosenlicht and Michael Atiyah. Extensions include supersymmetric and higher-spin generalizations pursued by Nathan Seiberg, Edward Witten, Cumrun Vafa, Erik Verlinde, and Herman Verlinde, and relations to random matrix theory explored by Tracy Widom, Craig Tracy, Kurt Johansson, and Paul Zuber. Ongoing research programs are active at Perimeter Institute, Institute for Advanced Study, Simons Center for Geometry and Physics, Kavli Institute for Theoretical Physics, and groups collaborating across CERN and national laboratories.