2017/12/20 by Carl Turner, Turner, Carl · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1712.07662
We demonstrate explicitly the correspondence between all protected operators in a 2+1 dimensional non-supersymmetric bosonization duality in the non-relativistic limit. Roughly speaking we consider SU(N) Chern-Simons field theory at level k with Nf flavours of fundamental boson, and match its chiral sector to that of a SU(k) theory at level N with Nf fundamental fermions. We present the matching at the level of indices and individual operators, seeing the mechanism of failure for Nf > N, and point out that the non-relativistic setting is a particularly friendly setting for studying interesting questions about such dualities.