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Title:
Perturbative approaches for monopole operators
Speaker:
Abstract:
Besides the familiar operators built from fundamental fields, three dimensional gauge theories contain an interesting set of local operators, monopoles that are defined by boundary conditions on the fields. Monopole operators play an important role in the dynamics of these theories and are essential entries in duality dictionaries. Even when the gauge theory is weakly coupled they cannot be studied using Feynman diagrams. When the theory flows to a CFT in the infrared, one can use the state operator correspondence to study the properties of monopole operators. In this talk, I describe how to compute the quantum numbers of monopoles using two perturbative methods: the expansion in the number of flavors and the epsilon-expansion. I compare the results to Quantum Monte Carlo simulations and bounds coming from the numerical conformal bootstrap.
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