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Comments on Quiver Gauge Theories and Matrix Models

Seki, S

Open publisher page 14 citations

Abstract

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, ${\\cal N}=1$ gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for the deformed geometries. We find the Veneziano-Yankielowicz terms in the effective superpotentials.

About this research paper

What this paper is about

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, ${\\cal N}=1$ gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for the deformed geometries. We find the Veneziano-Yankielowicz terms in the effective superpotentials.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, ${\\cal N}=1$ gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for the deformed geometries. We find the Veneziano-Yankielowicz terms in the effective superpotentials.

Key concepts: Quiver, Gauge theory, Gravitational singularity, String (physics), Conjecture, Topological string theory, Matrix (chemical analysis), Gauge (firearms)

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