# Non-perturbative Amplituhedron Geometries

- Institution: CERN
- Department: Theory Colloquia
- Speaker: Jaroslav Trnka
- Year: 2023
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3003814)
- 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)

I will discuss some new developments in the context of the Amplituhedron construction for planar N=4 SYM scattering amplitudes. I will define a negative Amplituhedron geometry which provides an all-loop order definition for a certain IR finite quantity, related to the ratio of null polygonal Wilson loops. Then I will show that the Amplituhedron picture suggests an interesting expansion of this quantity in terms of "loops of loops", unrelated to the usual small coupling expansion. In the leading order, I will provide an exact result to all orders in the coupling, and show the relation to the cusp anomalous dimension. Finally, I will discuss a certain interesting deformation of the geometric construction, and then conclude with future directions. .

0:00:00 Slide 1

0:01:21 Slide 2

0:04:53 Slide 3

0:06:24 Slide 4

0:17:18 Slide 5

0:19:29 Slide 6

0:21:57 Slide 7

0:23:51 Slide 8

0:26:11 Slide 9

0:28:13 Slide 10

0:30:06 Slide 11

0:32:03 Slide 12

0:33:29 Slide 13

0:36:09 Slide 14

0:38:14 Slide 15

0:40:48 Slide 16

0:42:51 Slide 17

0:44:35 Slide 18

0:46:04 Slide 19

0:47:32 Slide 20

0:49:25 Slide 21

0:51:01 Slide 22

0:53:39 Slide 23

0:55:08 Slide 24

1:01:29 Slide 25

1:02:45 Slide 26

1:05:35 Slide 27

1:06:54 Slide 28

1:10:41 Slide 29

1:12:15 Slide 30

1:15:01 Slide 31

## Lectures

1. [Non-perturbative Amplituhedron Geometries](https://invisiblenetwork.ai/learn/cern/3003814/928e5625c772), 1 h 17 min (CERN's player)