Loop and surface operators in N=2 gauge theory and Liouville modular geometry

Davide Gaiotto; Herman Verlinde; Luis F. Alday; Sergei Gukov; Yuji Tachikawa

arxiv: 0909.0945 · v3 · submitted 2009-09-06 · ✦ hep-th

Loop and surface operators in N=2 gauge theory and Liouville modular geometry

Luis F. Alday , Davide Gaiotto , Sergei Gukov , Yuji Tachikawa , Herman Verlinde This is my paper

classification ✦ hep-th

keywords operatorstheorygaugeliouvillelineobjectssurfaceauthors

0 comments

read the original abstract

Recently, a duality between Liouville theory and four dimensional N=2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation value of general supersymmetric 't Hooft-Wilson line operators in a variety of N=2 gauge theories.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Violation of Universal Operator Growth Hypothesis in $\mathcal{W}_3$Conformal Field Theories
hep-th 2025-06 unverdicted novelty 7.0

In W3 CFTs, Lanczos coefficients b_N grow as N^2 for generalized Liouvillian with W generators, violating the universal linear growth bound and causing divergent Krylov complexity, with the same quadratic growth in th...