GP2 - Birmingham Workshop Program: Conformal scalar field theory from Ising tricriticality on the fuzzy sphere

Session Information

Location: Physics West 103 | School of Physics and Astronomy, University of Birmingham
Day: 1. Tuesday 21st April
Time: 17:00-18:00
Chairperson: N/A

Presentation Details

Presentation Type: Poster | 
Title: Conformal scalar field theory from Ising tricriticality on the fuzzy sphere
Abstract: Free theories are landmarks in the landscape of quantum field theories: their exact solvability serves as a pillar for perturbative constructions of interacting theories. Fuzzy sphere regularization, which combines quantum Hall physics with state-operator correspondence, has recently been proposed as a promising framework for simulating three-dimensional conformal field theories (CFTs), but so far it has not provided access to free theories. We overcome this limitation by designing a bilayer quantum Hall system that hosts an Ising tricritical point -- a nontrivial fixed point where first-order and second-order transitions meet -- which flows to the conformally coupled scalar theory in the infrared. The critical energy spectrum and operator structure match those at the Gaussian fixed point, providing nonperturbative evidence for the emergence of a free scalar CFT. Our results expand the landscape of CFTs realizable on the fuzzy sphere and demonstrate that even free bosonic theories -- previously inaccessible -- can emerge from interacting electrons in this framework.

Presenter

Mr Joseph Taylor
University of Leeds | United Kingdom

Authors

1. Taylor, Joseph | School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom
2. Voinea, Cristian | School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom
3. Fan, Ruihua | Department of Physics, University of California, Berkeley, CA 94720, USA
4. Papic, Zlatko | School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom