English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study Chern-Simons theories at large $N$ with either bosonic or fermionicmatter in the fundamental representation. The most fundamental operators inthese theories are mesonic line operators, the simplest example being Wilsonlines ending on fundamentals. We classify the conformal line operators along anarbitrary smooth path as well as the spectrum of conformal dimensions andtransverse spins of their boundary operators at finite 't Hooft coupling. Theseline operators are shown to satisfy first-order chiral evolution equations, inwhich a smooth variation of the path is given by a factorized product of twoline operators. We argue that this equation together with the spectrum ofboundary operators are sufficient to uniquely determine the expectation valuesof these operators. We demonstrate this by bootstrapping the two-point functionof the displacement operator on a straight line. We show that the lineoperators in the theory of bosons and the theory of fermions satisfy the sameevolution equation and have the same spectrum of boundary operators.

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