We study the topological B-model on a deformed Z2 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 ĉ = 1 type 0A string theory compactified at the radius R = √α′/2.
Bibliographical noteFunding Information:
We would like to thank Jae-Suk Park for valuable discussions. S.H., K.O. and J.-D.P. would like to thank the Korea Institute for Advanced Study (KIAS) for its hospitality, where this work has been completed. This work was supported by the Korea Research Foundation Grant KRF-2004-042-C00023.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics