Την Τετάρτη 25 Σεπτεμβρίου στις 12:00 ο Sven F. Stawinski (Universität Bonn) θα δώσει ένα διαδικτυακό σεμινάριο.
Η μετάδοση θα γίνει μέσω Zoom:
https://authgr.zoom.us/j/94064640677?pwd=og4iT2jaPQg42m3hBgF5ZFRJsZ6Zno.1
Meeting ID: 940 6464 0677
Passcode: 170724
Ακολουθούν ο τίτλος και η περίληψη της ομιλίας.
Title: Recursive Structure of Conformal Four-Point Integrals
Abstract: We consider conformal four-point integrals to investigate how much of their mathematical structure in two spacetime dimensions carries over to higher dimensions. In particular, we discuss recursions in the loop order and spacetime dimension. This results e.g. in new expressions for conformal ladder integrals with generic propagator powers in all even dimensions and allows us to lift results on 2d fishnet integrals with underlying Calabi-Yau geometry to higher dimensions. Moreover, we demonstrate that the Basso-Dixon generalizations of these integrals obey different variants of the Toda equations of motion, thus establishing a connection to classical integrability and the family of so-called tau-functions. We then show that all of these integrals can be written in a double copy form that combines holomorphic and anti-holomorphic building blocks. Here integrals in higher dimensions are constructed from an intersection pairing of two-dimensional “periods” together with their derivatives.
Υπενθυμίζουμε ότι τα παρελθοντικά σεμινάρια καθώς και τα αρχεία αυτών μπορούν να βρεθούν στην ακόλουθη ιστοσελίδα: http://quantum-theory.physics.auth.gr/parelthontika-seminaria/