A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.
The String Theory Approach to Generalized 2D Yang-Mills Theory
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We calculate the partition function of the $SU(N)$ ( and $U(N)$) generalized $YM_2$ theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM_2 theory. A diagrammatic expansion of the formula enables us to derive a Gross-Taylor like stringy description of the model. A sum of 2D string maps is shown to reproduce the gauge theory results. Maps with branch points of degree higher than one, as well as ``microscopic surfaces'' play an important role in the sum. We discuss the underlying string theory.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Lattice defect networks in 2d Yang-Mills
A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.