# Wavefunctions and their implications on S^2 with flux and branes

- Institution: CERN
- Department: Conferences & Workshops
- Speaker: Yoshiyuki Tatsuta
- Year: 2019
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3016067)
- 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 formulate a six dimensional U(1) gauge theory compactified on a (two dimensional) sphere S^2 with flux and localized brane sources. Profiles of the lowest Kaluza-Klein (KK) wavefunctions and their masses are derived analytically. In contrast to ordinary sphere compactifications, the above setup can lead to the degeneracy of and the sharp localizations of the linearly independent lowest KK modes, depending on the number of branes and their tensions. Moreover, it can naturally accommodate CP violation in Yukawa interactions..

0:00:00 Slide 1

0:00:42 Slide 2

0:01:12 Slide 3

0:01:28 Slide 4

0:01:45 Slide 5

0:01:52 Slide 6

0:02:25 Slide 7

0:02:32 Slide 8

0:03:42 Slide 9

0:04:15 Slide 10

0:04:25 Slide 11

0:05:04 Slide 12

0:05:27 Slide 13

0:05:40 Slide 14

0:05:59 Slide 15

0:06:19 Slide 16

0:07:16 Slide 17

0:07:46 Slide 18

0:08:15 Slide 19

0:08:35 Slide 20

0:09:16 Slide 21

0:09:54 Slide 22

0:10:44 Slide 23

0:10:56 Slide 24

## Lectures

1. [Wavefunctions and their implications on S^2 with flux and branes](https://invisiblenetwork.ai/learn/cern/3016067/a9b40e452a66), 13 min (CERN's player)