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Federico Zerbini: KZB equations, polylogarithms and string amplitudes

26 janvier 2022 @ 16:15 -17:15

Amplitudes predict the outcome of scattering experiments with particle colliders. Feynman’s perturbative approach leads to considering a power series whose coefficients are computed by so-called Feynman integrals. The perturbative expansion of string theory amplitudes is an important testing ground for relations between gravity and gauge theories (double-copy relations, AdS/CFT). It is indexed by an integer which can be interpreted as the genus of a surface. In the last decade, the combined effort of mathematicians and physicists led to great progress in our understanding of the genus-zero and genus-one coefficients. I will report on this progress, with special focus on the role of Knizhnik-Zamolodchikov-Bernard (KZB) equations, which arise from Wess-Zumino-Witten models, and of polylogarithm functions. At the end I will report on higher-genus perspectives, based on a joint work with Benjamin Enriquez.
https://indico.math.cnrs.fr/event/7321/

Détails

Date :
26 janvier 2022
Heure :
16:15 -17:15
Catégorie d’Évènement:
Site :
https://indico.math.cnrs.fr/event/7321/

Lieu

Salle 318
Salle 318 + Google Map
wpea_event_id:
indico-event-7321@indico.math.cnrs.fr
wpea_event_origin:
ical
wpea_event_link:
https://indico.math.cnrs.fr/event/7321/

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