Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions

Understand

We study Chern-Simons theories at large $N$ with either bosonic or fermionic matter in the fundamental representation.

• The most fundamental operators in these theories are mesonic line operators, the simplest example being Wilson lines ending on fundamentals.
• We classify the conformal line operators along an arbitrary smooth path as well as the spectrum of conformal dimensions and transverse spins of their boundary operators at finite 't Hooft coupling.
• These line operators are shown to satisfy first-order chiral evolution equations, in which a smooth variation of the path is given by a factorized product of two line operators.