Refined Cigar and Omega-deformed Conifold

Abstract

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.

15 pages, v2: reference added, v3: published version

References in corpus (4)

• The Refined Topological Vertex
• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• Seiberg-Witten prepotential from instanton counting
• The Topological Cigar Observables

Cited by in corpus (2)

• Note on refined topological vertex, Jack polynomials and instanton counting
• Refined topological amplitudes in N=1 flux compactification