Academics

Caltech-Tsinghua Joint Colloquium | Irregular conformal blocks and braiding properties

Time:Wednesday, December 6 9:00 am (Beijing Time)

Venue:Zoom Link: https://caltech.zoom.us/j/83185685455

Speaker:Xia Gu Tsinghua University

Abstract

In this talk, I would like to report our recent work arXiv: 2301.07957 & 2311.07960. We constructed the rank-1 irregular field in the free boson theory and computed the conformal blocks with one irregular field insertion using the integral representations.

We obtained the monodromy and the braiding representations of these blocks by deforming the integral contours. Time permits, I will also talk about the relations of our results with the Stokes phenomena and the flat connection on conformal bundles.

DATEDecember 6, 2023
SHARE
Related News
    • 0

      Vertex operator algebras and conformal blocks

      AbstractConformal blocks are central objects in the study of 2d conformal field theory and vertex operator algebras (VOAs). Indeed, many important problems in VOAs are related to conformal blocks, including modular invariance of VOA characters (the earliest such type of problem is the famous monstrous moonshine conjecture), the construction of tensor categories for VOA representations, the stud...

    • 1

      One- and two-dimensional higher-point conformal blocks as free-particle wavefunctions in AdS$_3^{\otimes m}$

      AbstractWe establish that all of the one- and two-dimensional global conformal blocks are, up to some choice of prefactor, free-particle wavefunctions in tensor products of AdS$_3$ or limits thereof. Our first core observation is that the six-point comb-channel conformal blocks correspond to free-particle wavefunctions on an AdS$_3$ constructed directly in cross-ratio space. This construction g...