Learn · CERN

Talk1 h 15 min

String amplitudes: from field theories to number theory

Oliver Schlotterer · CERN

Watch At CERN

About

In a variety of recent developments, scattering amplitudes hint at new symmetries of and unexpected connections between physical theories which are otherwise invisible in their conventional description via Feynman diagrams or Lagrangians. Yet, many of these hidden structures are conveniently accessible to string theory where gauge interactions and gravity arise as the low-energy excitations of open and closed strings. In this talk, I will give an intuitive picture of gravity as a double copy of gauge interactions and extend the web of relations to scalar field theories including chiral Lagrangians for Goldstone bosons.

The string corrections to gauge and gravity amplitudes beyond their point-particle limit exhibit elegant mathematical structures and offer a convenient laboratory to explore modern number-theoretic concepts in a simple context. As a common theme with Feynman integrals, string amplitudes introduce a variety of periods and special functions including multiple zeta values and polylogarithms, organized by Riemann surfaces of different genera. I will exemplify the value of string amplitudes as a fruitful playground at the interface between theoretical high-energy physics and number theory. .

0:00:00 Slide 1

0:02:14 Slide 2

0:04:47 Slide 3

0:06:19 Slide 4

0:07:54 Slide 5

0:08:46 Slide 6

0:10:29 Slide 7

0:12:52 Slide 8

0:13:31 Slide 9

0:15:09 Slide 10

The talk

  1. String amplitudes: from field theories to number theory 2017-07-05 · 1 h 15 min · CERN's player

Credits and licence

Institution
CERN
Department
Theory Colloquium
Speaker
Oliver Schlotterer
Year
2017
Language
English
Subjects
Mathematics
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
Who can watch
CERN gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed