Five-dimensional Chern-Simons terms and Nekrasov's instanton counting

Abstract

We extend the graviphoton-corrected prepotential of five-dimensional pure U(N) super Yang-Mills, which was originally proposed by Nekrasov, by incorporating the effect of the five-dimensional Chern-Simons term. This extension allows us to reproduce by a gauge theory calculation the partition functions of corresponding topological A-model on local toric Calabi-Yau manifolds X^m_N for all m=0,1,...,N. The original proposal corresponds to the case m=0.

12 pages

References in corpus (11)

• Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
• Integrating Over Higgs Branches
• D-particle bound states and generalized instantons
• Issues in Topological Gauge Theory
• Chiral Gauge Anomalies on Noncommutative R^4
• Topological Strings and Nekrasov's formulas
• A note on consistent anomalies in noncommutative YM theories
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
• Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion
• The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons

Cited by in corpus (37)

• The Refined Topological Vertex
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• A note on instanton counting for N=2 gauge theories with classical gauge groups
• Matrix models for $\beta$-ensembles from Nekrasov partition functions
• Topologically twisted indices in five dimensions and holography
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• Seiberg-Witten theory and matrix models
• Non-supersymmetric Black Holes and Topological Strings
• A slow review of the AGT correspondence
• Triality in Little String Theories
• Blowup Equations for Refined Topological Strings
• Parabolic refined invariants and Macdonald polynomials
• Exact results for topological strings on resolved Y(p,q) singularities
• A 5d/3d duality from relativistic integrable system
• Perverse coherent sheaves on blow-up. III. Blow-up formula from wall-crossing
• Cluster Toda chains and Nekrasov functions
• Painleve equations from Nakajima-Yoshioka blowup relations
• Supersymmetric Rényi Entropy and Defect Operators
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
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• ADHM and the 4d Quantum Hall Effect
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Five-dimensional gauge theories and the local B-model
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• Towards a gauge theory interpretation of the real topological string
• Intersecting Surface defects and 3d Superconformal indices
• Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops
• Chiral rings for surface operators in 4d and 5d SQCD
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations