On Integrable Structure and Geometric Transition in Supersymmetric Gauge Theories

Abstract

We generalize the exact field theoretic correspondence proposed in arXiv:1103.5726 and embed it into the context of refined topological string. The correspondence originally proposed from the common integrable structures in different field theories can be recast as a special limit of the refined geometric transition relating open and closed topological string partition functions. We realize the simplest examples of the correspondence explicitly in terms of open-closed geometric transition.

32 pages, 8 figures

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• Exact Kahler Potential from Gauge Theory and Mirror Symmetry
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Cited by in corpus (10)

• 5D partition functions, q-Virasoro systems and integrable spin-chains
• Gauge/Liouville Triality
• Spectral dualities in XXZ spin chains and five dimensional gauge theories
• A slow review of the AGT correspondence
• Holomorphic Blocks for 3d Non-abelian Partition Functions
• Refined geometric transition and $qq$-characters
• Quantum integrability from non-simply laced quiver gauge theory
• Refined toric branes, surface operators and factorization of generalized Macdonald polynomials
• Quantum spectral curve for (q,t)-matrix model
• Chiral expansion and Macdonald deformation of two-dimensional Yang-Mills theory