PIRSA:17060058

Spectrum of conformal gauge theories on a torus

Thomson, A. (2017). Spectrum of conformal gauge theories on a torus. Perimeter Institute. https://pirsa.org/17060058

Thomson, Alex. Spectrum of conformal gauge theories on a torus. Perimeter Institute, Jun. 16, 2017, https://pirsa.org/17060058 

          @misc{ pirsa_PIRSA:17060058,
            doi = {10.48660/17060058},
            url = {https://pirsa.org/17060058},
            author = {Thomson, Alex},
            keywords = {Condensed Matter},
            language = {en},
            title = {Spectrum of conformal gauge theories on a torus},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jun},
            note = {PIRSA:17060058 see, \url{https://pirsa.org}}
          }

Alex Thomson

California Institute of Technology

Talk number
PIRSA:17060058
Collection
Talk Type
Subject
Abstract

Many model quantum spin systems have been proposed to realize critical points or phases described by 2+1 dimensional conformal gauge theories. On a torus of size L and modular parameter τ, the energy levels of such gauge theories equal (1/L) times universal functions of τ. We compute the universal spectrum of QED3, a U(1) gauge theory with Nf two-component massless Dirac fermions, in the large-Nf limit. We also allow for a Chern-Simons term at level k, and show how the topological k-fold ground state degeneracy in the absence of fermions transforms into the universal spectrum in the presence of fermions; these computations are performed at fixed Nf/k in the large-Nf limit.