A DK Phase Transition in q-Deformed Yang-Mills on S^2 and Topological Strings

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dc.creatorJafferis, Daniel
dc.creatorMarsano, Joseph
dc.date2005-09-01
dc.date2005-09-07
dc.date.accessioned2026-07-07T04:18:33Z
dc.date.available2026-07-07T04:18:33Z
dc.descriptionWe demonstate the existence of a large $N$ phase transition with respect to the 't Hooft coupling in q-deformed Yang-Mills theory on $S^2$. The strong coupling phase is characterized by the formation of a clump of eigenvalues in the associated matrix model of Douglas-Kazakov (DK) type (hep-th/9305047). By understanding this in terms of instanton contributions to the q-deformed Yang-Mills theory, we gain some insight into the strong coupling phase as well as probe the phase diagram at nonzero values of the $θ$ angle. The Ooguri-Strominger-Vafa relation (hep-th/0405146) of this theory to topological strings on the local Calabi-Yau $\mathcal{O}(-p) \oplus \mathcal{O}(p-2) \to \mathbb{P}^1$ via a chiral decompostion at large $N$ hep-th/0411280, motivates us to investigate the phase structure of the trivial chiral block, which corresponds to the topological string partition function, for $p>2$. We find a phase transition at a different value of the coupling than in the full theory, indicating the likely presence of a rich phase structure in the sum over chiral blocks.
dc.description24 pages + 2 Appendices, 5 figures, LaTeX; v2: typos and minor errors corrected, references added, parts of sections 2.3 and 3.3 rewritten for clarity, figure 4 corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0509004
dc.identifierhttp://arxiv.org/abs/hep-th/0509004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53223
dc.subjectHigh Energy Physics - Theory
dc.titleA DK Phase Transition in q-Deformed Yang-Mills on S^2 and Topological Strings
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