[math-ias] Announcement: IAS HET Seminar - Friday, March 24 - 1:45 PM - Bloomberg Lecture Hall & Zoom - "Close Encounters of the Wormhole Kind" - Phil Saad, IAS

[Lisa Fleischer]

The Institute for Advanced Study requires that all adult visitors, 
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Individuals must be prepared to present proof of vaccination if asked 
and are expected to follow the Institute's Covid-19 Procedures. Masks 
are optional while indoors.

Additional information can be found at:
_https://www.ias.edu/covid-19-procedures
__

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__*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

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
lisa at ias.edu




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