On the String Actions for the Generalized Two-dimensional Yang-Mills Theories

Details On the String Actions for the Generalized Two-dimensional Yang-Mills Theories On the String Actions for the Generalized Two-dimensional Yang-Mills Theories

1996-01-19

arxiv.org/abs/hep-th/9601099v3

Mod.Phys.Lett. A11 (1996) 1675-1686

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures, version to be published in Mod.Phys.Lett. A

Scientific paper

10.1143/PTP.95.1183

We study the structures of partition functions of the large $N$ generalized two-dimensional Yang-Mills theories ($gYM_2$) by recasting the higher Casimirs. We clarify the appropriate interpretations of them and try to extend the Cordes-Moore-Ramgoolam's topological string model describing the ordinary $YM_2$ \cite{CMR} to those describing $gYM_2$. We present the expressions of the appropriate operators to reproduce the higher Casimir terms in $gYM_2$. The concept of ''deformed gravitational descendants'' will be introduced for this purpose.

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