Speaker: Kristiansen Lara (CECS, Valdivia)
Time: 2026-03-13 16:30-18:00
Location: 710, SIMIS
Abstract:
The seminal work of Brown and Henneaux [1] initiated the exploration of the various asymptotic faces of three-dimensional General Relativity (GR). One of these, discovered by Pérez, Tempo, and Troncoso, is the duality between integrable systems and AdS$_3$ GR [2]. Specifically, they show that under a particular fall-off, along with a specific boundary condition of the Lagrange multipliers at infinity, Einstein’s equations reduce to (two independent copies of) the Korteweg-de Vries (KdV) equation. In this talk, we show that under the same fall-off but with a different boundary condition, a different integrable hierarchy emerges, known as the Dym hierarchy, whose gravitational configuration corresponds to a black hole whose properties notoriously differs from its KdV counterpart: It exhibit constant Hawking temperature (Hagedorn behavior), and therefore, a vanishing angular momentum chemical potential and inverse heat capacity, seemingly leaving no room for thermal fluctuations—i.e., no log corrections to the Bekenstein-Hawking entropy. Following the change of ensemble approach of [3], we address this problem and compute its log corrections. Conclusions and further prospects are discussed.
About Speaker:
Kristiansen Lara is currently a postdoc at CECS, Valdivia. He obtained his Ph.D. from Universidad de Santiago de Chile. His research interests include integrable system and AdS/CFT correspondence.
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