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arXiv 1004.2986hep-th
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精化双曲锥和Ω-变形锥

Refined Cigar and Omega-deformed Conifold

Yu Nakayama

摘要:

Antoniadis等人提出了拓扑弦论的Ω-变形和精细关联函数之间的关系。我们调查的建议,从非紧Gepner模型的方法变形锥几何。变形锥上的拓扑弦论在自对偶半径下具有c=1非临界弦论的对偶描述,Ω变形产生半径变形.我们证明了从扭曲SL(2,R)/U(1)Kazama-Suzuki陪集模型在k=1水平上计算的精细关联函数具有直接的c=1非临界弦论解释.在减去主导奇点以得到1 PI有效作用量后,我们得到了与建议一致的结果。

英文摘要:

Antoniadis et al proposed a relation between the Omega-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 Omega-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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