[math-ias] Reminder: TODAY IAS HET Seminar - 1:45 PM - Bloomberg Lecture Hall & Zoom - "Close Encounters of the Wormhole Kind" - Phil Saad, IAS

[Lisa Fleischer]

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Additional information can be found at: 
[ https://www.ias.edu/covid-19-procedures | https://www.ias.edu/covid-19-procedures ] 





Friday, March 24, 2023 - IAS High Energy Theory Seminar 

"Close Encounters of the Wormhole Kind" 

Location: Bloomberg Lecture Hall (IAS) & Zoom 

Zoom Link: [ https://theias.zoom.us/j/84232389159?pwd=UAWukoEv3RMKL8ssHZ2nUfIwggISU7.1 | https://theias.zoom.us/j/84232389159?pwd=UAWukoEv3RMKL8ssHZ2nUfIwggISU7.1 ] 

Time: 1:45 PM Speaker: Phil Saad, Member, School of Natural Sciences, IAS 







Abstract: Black holes are expected to exhibit universal 'random matrix' behavior at late times, indicative of quantum chaos. The approach to a late-time plateau in the spectral form factor (SFF) is a probe of this behavior. In this talk we study the SFF in double-scaled matrix integrals, dual to two-dimensional black holes, and conjecture a formula for the SFF in the limit of large time, large density of states, and fixed temperature. This formula provides a convergent expansion for the plateau as a sum over spacetime topologies (spacetime wormholes). To understand the origin of this series, we compare to the semiclassical theory of “encounters” in periodic orbits. In Jackiw-Teitelboim (JT) gravity, encounters correspond to portions of the moduli space integral that mutually cancel (in the orientable case) but individually grow at low energies. At genus one we show how the full moduli space integral resolves the low energy region and gives a finite nonzero answer. 

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Lisa Fleischer 
Academic Assistant 
School of Natural Sciences 
Institute for Advanced Study 
1 Einstein Drive Princeton, NJ 08540 
[ mailto:lisa at ias.edu | lisa at ias.edu ] 







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