Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories

Abstract

We study topological and integrable aspects of $\hat{c}=1$ strings. We consider the circle line theories 0A and 0B at particular radii, and the super affine theories at their self-dual radii. We construct their ground rings, identify them with certain quotients of the conifold, and suggest topological B-model descriptions. We consider the partition functions, correlators and Ward identities, and construct a Kontsevich-like matrix model. We then study all these aspects via the topological B-model description. Finally, we analyse the corresponding Dijkgraaf-Vafa type matrix models and quiver gauge theories.

61 pages, 3 figures; v2: typos fixed, reference added

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Cited by in corpus (14)

• Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings
• Comments on 2D Type IIA String and Matrix Model
• Quiver Gauge Theory and Conformality at the TeV Scale
• Type 0A matrix model of black hole, integrability and holography
• c < 1 String from Two Dimensional Black Holes
• Matrix Model and Time-like Linear Dilaton Matter
• On Type II Strings in Two Dimensions
• Topological B-model and $\hat{c}=1$ String Theory
• 4D black holes and holomorphic factorization of the 0A matrix model
• On Graviphoton F-terms of N=1 SU(N) SYM with Fundamental Matter
• Open/closed duality for FZZT branes in c=1
• Gravitational F-terms of N=1 Supersymmetric Gauge Theories
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes
• Topological B-Model and \hat{c}=1 Fermionic Strings