# M5 branes and Theta Functions

- Institution: CERN
- Department: Conferences & Workshops
- Speaker: Rui Sun
- Year: 2019
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3016681)
- 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 propose quantum states for Little String Theories arising from M5 branes probing A- and D-type singularities. This extends Witten's picture of M5 brane partition functions as theta functions to this more general setup. Compactifying the world-volume of the five-branes on a two-torus, we find that the corresponding theta functions are sections of line bundles over complex 4-tori. This formalism allows us to derive Seiberg-Witten curves for the resulting four-dimensional theories..

0:00:00 Slide 1

0:00:55 Slide 2

0:01:21 Slide 3

0:02:41 Slide 4

0:03:48 Slide 5

0:05:52 Slide 6

0:07:24 Slide 7

0:08:32 Slide 8

0:10:35 Slide 9

0:10:42 Slide 10

0:10:47 Slide 11

0:11:03 Slide 12

0:12:07 Slide 13

0:13:23 Slide 14

0:13:54 Slide 15

0:14:36 Slide 16

0:15:03 Slide 17

0:15:21 Slide 18

## Lectures

1. [M5 branes and Theta Functions](https://invisiblenetwork.ai/learn/cern/3016681/a5c96e4747ac), 17 min (CERN's player)