# Catching Dense Spectra at Large Spin

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Sridip Pal
- Year: 2025
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3022473)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

We prove that in any unitary, modular-invariant 2d CFT with central charge $c>1$, a normalizable vacuum, and a twist gap in the spectrum of Virasoro primaries, there exists a continuous family of twist accumulation points above $(c-1)/12$ \[the BTZ threshold\]. We derive an asymptotic formula for the number of spin-J Virasoro primaries within a fixed twist window, as $J\to\infty$. This formula implies that the spectrum at large spin is Dense!! (Based on a joint work with Jiaxin Qiao and Balt van Rees)

(online talk, note the unusual time)

## Lectures

1. [Catching Dense Spectra at Large Spin](https://invisiblenetwork.ai/learn/cern/3022473/19a2a1987671), 1 h 8 min (CERN's player)