Topological B-model and $\hat{c}=1$ String Theory

Abstract

We study the topological B-model on a deformed ${\mathbb{Z}}_2$ orbifolded conifold by investigating variation of complex structures via quantum Kodaira-Spencer theories. The fermionic/brane formulation together with systematic utilization of symmetries of the geometry gives rise to a free fermion realization of the amplitudes. We derive Ward identities which solve the perturbed free energy exactly. We also obtain the corresponding Kontsevich-like matrix model. All these confirm the recent conjecture on the connection of the theory with $\hat{c}=1$ type 0A string theory compactified at the radius $R=\sqrt{{\alpha }^{\prime }/2}$.

35 pages, 3 figures, JHEP style. v2: references added. v3: published version

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Cited by in corpus (8)

• Chern-Simons Theory in SIM(1) Superspace
• c < 1 String from Two Dimensional Black Holes
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• On Type II Strings in Two Dimensions
• 4D black holes and holomorphic factorization of the 0A matrix model
• Open/closed duality for FZZT branes in c=1
• Riemann Hypothesis and Short Distance Fermionic Green's Functions
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes