Instanton calculus in R-R background and the topological string

Abstract

We study a system of fractional D3 and D(-1) branes in a Ramond-Ramond closed string background and show that it describes the gauge instantons of N=2 super Yang-Mills theory and their interactions with the graviphoton of N=2 supergravity. In particular, we analyze the instanton moduli space using string theory methods and compute the prepotential of the effective gauge theory exploiting the localization methods of the instanton calculus showing that this leads to the same information given by the topological string. We also comment on the relation between our approach and the so-called Omega-background.

38 pages, 2 figures, JHEP class (included); final version to be pubished in JHEP

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Cited by in corpus (73)

• Stringy Instantons at Orbifold Singularities
• D-brane Instantons on the T^6/Z_3 orientifold
• Magnetized E3-brane instantons in F-theory
• Non-perturbative and Flux superpotentials for Type I strings on the Z_3 orbifold
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• String theory of the Omega deformation
• The Omega Deformation From String and M-Theory
• Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
• Instanton effects in N=1 brane models and the Kahler metric of twisted matter
• Non-supersymmetric Black Holes and Topological Strings
• Deformed N=2 theories, generalized recursion relations and S-duality
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Instantons in N=2 magnetized D-brane worlds
• Exotic instanton counting and heterotic/type I' duality
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Worldsheet Realization of the Refined Topological String
• String instantons, fluxes and moduli stabilization
• Non-perturbative gauge/gravity correspondence in N=2 theories
• Instanton-Monopole Correspondence from M-Branes on ${\mathbb{S}}^1$ and Little String Theory
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• On mass hierarchies in orientifold vacua
• Exotic prepotentials from D(-1)D7 dynamics
• More on closed string induced higher derivative interactions on D-branes
• Non-Perturbative Nekrasov Partition Function from String Theory
• Wilson Loops and Chiral Correlators on Squashed Sphere
• Adding flavour to the Polchinski-Strassler background
• Modular anomaly equations in N=2* theories and their large-N limit
• Non-perturbative effective interactions from fluxes
• Self-Duality and Self-Similarity of Little String Orbifolds
• Stringy instanton corrections to N=2 gauge couplings
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• Classical solutions for exotic instantons?
• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
• Alpha- and Omega-Deformations from fluxes in M-Theory
• Unoriented D-brane Instantons vs Heterotic worldsheet Instantons
• Modular and duality properties of surface operators in N=2* gauge theories
• SuperYang-Mills, Chern-Simons couplings and their all order ${\alpha }^{\prime }$ corrections in IIB superstring theory
• Deformation of N=4 Super Yang-Mills Theory in Graviphoton Background
• Branes and instantons intersecting at angles
• Unoriented D-brane instantons
• Confinement and Mayer cluster expansions
• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
• N=2 higher-derivative couplings from strings
• Non-perturbative studies of N=2 conformal quiver gauge theories
• Deformation of Super Yang-Mills Theories in R-R 3-form Background
• On the D(-1)/D7-brane systems
• Wilson Loops and Chiral Correlators on Squashed Spheres
• Mass Deformations of Unoriented Quiver Theories
• Exact results in N=2 gauge theories
• Holographic non-perturbative corrections to gauge couplings
• More on Ramond-Ramond, SYM, WZ couplings and their corrections in IIA
• Deformed BPS Monopole in Omega-background
• Probing the Moduli Dependence of Refined Topological Amplitudes
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• N=2 superconformal blocks and instanton partition functions
• Torsion and Supersymmetry in Omega-background
• BPS States in the Duality Web of the Omega deformation
• Stringy instanton effects in N=2 gauge theories
• The Torus One-Point Diagram in Two-Dimensional String Cosmology
• Field Theory Interpretation of N=2 Stringy Instantons
• BPS Monopole Equation in Omega-background
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• Instanton Calculus and Loop Operator in Supersymmetric Gauge Theory
• Phenomenological analysis of D-brane Pati-Salam vacua
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• A string realisation of $\Omega$-deformed Abelian $\mathcal{N}=2^{\ast }$ theory
• Non-perturbative gauge couplings from holography
• Instanton Calculus With R-R Background And Topological Strings
• Fermionic T-duality and Morita Equivalence
• The String Geometry Behind Topological Amplitudes
• (D)-instanton effects in magnetized brane worlds
• Stringy instantons and dualities