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Les Houches lectures on two-dimensional gravity and holography, by Gustavo Joaquin Turiaci

SciPost Quantum
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Gustavo Joaquin Turiaci’s lecture notes present exact methods for computing gravitational path integrals in two-dimensional dilaton-gravity and supergravity across arbitrary spacetime topologies, advancing quantum gravity research. The work applies these techniques to black hole physics, offering new tools to study their quantum properties in lower-dimensional systems where calculations are more tractable. Published in January 2026, the notes stem from the 2024 Les Houches Summer School on quantum geometry, bridging mathematical methods with non-perturbative physics. Connections to random matrix models and hyperbolic surface moduli spaces are outlined, though briefly, as complementary topics were covered elsewhere in the school’s curriculum. Funded by the U.S. Department of Energy and the University of Washington, the research underscores interdisciplinary links between holography, quantum chaos, and AdS/CFT correspondence.
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SciPost Physics Lecture Notes Home Authoring Refereeing Submit a manuscript About Les Houches lectures on two-dimensional gravity and holography Gustavo Joaquin Turiaci SciPost Phys. Lect. Notes 113 (2026) · published 30 January 2026 Part of the 2024-08: Quantum Geometry - Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics Collection in the Les Houches Summer School Lecture Notes Series. doi: 10.21468/SciPostPhysLectNotes.113 pdf BiBTeX RIS Submissions/Reports Abstract Lecture notes prepared for the Les Houches school ‘‘Quantum Geometry: Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics’’ that took place during the summer 2024. We cover the techniques to perform the exact gravitational path integral of two-dimensional dilaton-gravity, and supergravity, over spacetimes with arbitrary topology, with an application to black holes. We discuss the connection with random matrix models and moduli spaces of hyperbolic surfaces briefly, since those concepts were covered in other lectures of the school. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhysLectNotes.113TI - Les Houches lectures on two-dimensional gravity and holographyPY - 2026/01/30UR - https://scipost.org/SciPostPhysLectNotes.113JF - SciPost Physics Lecture NotesJA - SciPost Phys. Lect. NotesSP - 113A1 - Turiaci, Gustavo JoaquinAB - Lecture notes prepared for the Les Houches school ‘‘Quantum Geometry: Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics’’ that took place during the summer 2024. We cover the techniques to perform the exact gravitational path integral of two-dimensional dilaton-gravity, and supergravity, over spacetimes with arbitrary topology, with an application to black holes. We discuss the connection with random matrix models and moduli spaces of hyperbolic surfaces briefly, since those concepts were covered in other lectures of the school.ER - × @Article{10.21468/SciPostPhysLectNotes.113, title={{Les Houches lectures on two-dimensional gravity and holography}}, author={Gustavo Joaquin Turiaci}, journal={SciPost Phys. Lect. Notes}, pages={113}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhysLectNotes.113}, url={https://scipost.org/10.21468/SciPostPhysLectNotes.113},} Ontology / Topics See full Ontology or Topics database. AdS/CFT correspondence Quantum chaos Author / Affiliation: mappings to Contributors and Organizations See all Organizations. 1 Gustavo Joaquin Turiaci 1 University of Washington [UW] Funders for the research work leading to this publication United States Department of Energy [DOE] University of Washington [UW]

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