Fuzzy Sphere Meets Conformal Bootstrap 2025

Collection Fuzzy Sphere Meets Conformal Bootstrap 2025

Organizer(s) Emilie Huffman, Slava Rychkov, Yin-Chen He, Liam Fitzpatrick
Date(s) 02/06/2025 - 06/06/2025
linked URL https://indico.math.cnrs.fr/event/13856
00:00:00 / 00:00:00
8 19

Magnetised Bounds for Conformal Field Theories

By Andreas Stergiou

External probes of conformal field theories (CFTs) introduce novel observables and provide new insights into their structure. Well-known examples include CFTs in curved space, at finite temperature, or with a non-zero chemical potential. A key tool in this exploration is the low-energy effective action, which can be systematically constructed using symmetry principles. In this talk, we will focus on three-dimensional CFTs with a global U(1) symmetry coupled to a background magnetic field. Assuming that the magnetic field drives the CFT to a gapped phase, we will examine the associated effective action and use it to define two-point functions of the conserved current and stress-energy tensor. Leveraging dispersive arguments, we will derive constraints on the effective action coefficients and explore their implications for physically relevant observables.

Information about the video

  • Date of recording 03/06/2025
  • Date of publication 20/06/2025
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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