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From Chern-Tenenblat to Jackiw-Teitelboim via Sine-Gordon

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • Jeff Murugan

    (University of Cape Town, The Laboratory for Quantum Gravity and Strings, Department of Mathematics and Applied Mathematics)

Abstract

The study of 2-dimensional surfaces of constant curvature constitutes a beautiful branch of geometry with well-documented ties to the mathematical physics of integrable systems. A lesser known, but equally fascinating, fact is its connection to 2-dimensional gravity; specifically Jackiw-Teitelboim (JT) gravity, where the connection manifests through a coordinate choice that roughly speaking re-casts the gravitational field equations as the sine-Gordon equation. In this language many well-known results, such as the JT-gravity black hole and its properties, were understood in terms of sine-Gordon solitons and their properties. In this talk, I will revisit some of these old ideas in the context of some of the recent exciting developments in JT-gravity and, more generally, low-dimensional quantum gravity and speculate on how some of these new ideas may be similarly understood.

Suggested Citation

  • Jeff Murugan, 2026. "From Chern-Tenenblat to Jackiw-Teitelboim via Sine-Gordon," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 279-287, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-2328-9_32
    DOI: 10.1007/978-981-19-2328-9_32
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