The Refined Topological Vertex

Abstract

We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the self-dual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a two-parameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants.

70 Pages, 23 Figures

References in corpus (15)

• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Geometric Engineering of Quantum Field Theories
• The Topological Vertex
• Superstrings and Topological Strings at Large N
• Topological Strings and Integrable Hierarchies
• Topological Amplitudes in String Theory
• Khovanov-Rozansky Homology and Topological Strings
• Matrix Models, Geometric Engineering and Elliptic Genera
• Quantum Calabi-Yau and Classical Crystals
• Instanton counting, Macdonald function and the moduli space of D-branes
• Link Homologies and the Refined Topological Vertex
• M-Theory and Topological Strings--I
• Five-dimensional Chern-Simons terms and Nekrasov's instanton counting
• Instanton counting on blowup. II. $K$-theoretic partition function
• Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory

Cited by in corpus (311)

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