Monopoles, duality, and deconfined quantum criticality
Shai Chester
Mercredi 25/10/2023, 14:15-15:28
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We consider quantum electrodynamics in 3d (QED3) with N scalars and Chern-Simons level k. When k=0 and N=1, the theory is believed to be dual to the critical O(2) model, while when k=N=1 the theory is believed to be dual to a single free fermion, which is the seed to a web of non-supersymmetric dualities. We provide evidence for both dualities by computing monopole operator scaling dimensions to subleading order in the large N,k expansion. Surprisingly, extrapolating to N=k=1 or N=1 and k=0 yields scaling dimensions that match the conjectured duals to incredible accuracy, while k=0 and N>2 also matches lattice results to high accuracy. We then combine these results with the conformal bootstrap to argue that the notorious N=2 and k=0 theory (the Neel-VBS transition), which is the simplest example of deconfined quantum criticality, is tricritical.
Contact : Ioannis TSIARES


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