The string theory approach to generalized 2D Yang-Mills theory

O. Ganor*, J. Sonnenschein, S. Yankielowicz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

Abstract

We calculate the partition function of the SU(N) (and U(N)) generalized YM2 theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM2 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.

Original languageEnglish
Pages (from-to)139-178
Number of pages40
JournalNuclear Physics, Section B
Volume434
Issue number1-2
DOIs
StatePublished - 23 Jan 1995

Funding

FundersFunder number
US-Israel Binational Science Foundation
German-Israeli Foundation for Scientific Research and Development
Israel Academy of Sciences and Humanities

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