Abstract
Antoniadis et al proposed a relation between the Ω-deformation and refined correlation functions of the topological string theory. We investigate the proposal for the deformed conifold geometry from a non-compact Gepner model approach. The topological string theory on the deformed conifold has a dual description in terms of the c = 1 non-critical string theory at the self-dual radius, and the Ω-deformation yields the radius deformation. We show that the refined correlation functions computed from the twisted SL(2, R)/U(1) Kazama-Suzuki coset model at level k = 1 have direct c = 1 non-critical string theory interpretations. After subtracting the leading singularity to procure the 1PI effective action, we obtain the agreement with the proposal.
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ArXiv ePrint: 1004.2986
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Nakayama, Y. Refined cigar and Ω-deformed conifold. J. High Energ. Phys. 2010, 54 (2010). https://doi.org/10.1007/JHEP07(2010)054
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DOI: https://doi.org/10.1007/JHEP07(2010)054