Orbifolding the Twistor String

Abstract

The D-instanton expansion of the topological B-model on the supermanifold CP(3|4) reproduces the perturbative expansion of N=4 Super Yang-Mills theory. In this paper we consider orbifolds in the fermionic directions of CP(3|4). This operation breaks the SU(4) R-symmetry group, reducing the amount of supersymmetry of the gauge theory. As specific examples we take N=1 and N=2 orbifolds and obtain the corresponding superconformal quiver theories. We discuss the D1 instanton expansion in this context and explicitly compute some amplitudes.

24 pages, 8 figures; v2: minor corrections

References in corpus (53)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• D-branes, Quivers, and ALE Instantons
• Multi-Parton Amplitudes in Gauge Theories
• 4d Conformal Field Theories and Strings on Orbifolds
• MHV Vertices And Tree Amplitudes In Gauge Theory
• On Conformal Theories in Four Dimensions
• Mirror Manifolds And Topological Field Theory
• Orbifold Resolution by D-Branes
• On the Tree-Level S-Matrix of Yang-Mills Theory
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• A Geometric Unification of Dualities
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Conformal Supergravity in Twistor-String Theory
• Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• A Googly Amplitude from the B-model in Twistor Space
• Non-MHV Tree Amplitudes in Gauge Theory
• Geometric Transitions and N=1 Quiver Theories
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• A Twistor Approach to One-Loop Amplitudes in N=1 Supersymmetric Yang-Mills Theory
• S-duality and Topological Strings
• The Googly Amplitudes in Gauge Theory
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• The N=2(4) string is self-dual N=4 Yang-Mills
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• Cubic Twistorial String Field Theory
• Self-Dual N=8 Supergravity as Closed N=2(4) Strings
• N=2 strings and the twistorial Calabi-Yau
• Loops in Twistor Space
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Mirror Symmetry and Supermanifolds
• A Note on Twistor Gravity Amplitudes
• All Googly Amplitudes from the B-model in Twistor Space
• Untwisting the twistor superstring
• MHV Vertices and Scattering Amplitudes in Gauge Theory
• Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• Coplanarity In Twistor Space Of N=4 Next-To-MHV One-Loop Amplitude Coefficients
• The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory
• Supertwistors and Cubic String Field Theory for Open N=2 Strings
• On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory
• Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills Theories
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space
• A Six Dimensional View on Twistors
• N=1 Conformal Supergravity and Twistor-String Theory

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• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• Self-Dual Supergravity and Twistor Theory
• Matrix Models and D-branes in Twistor String Theory
• Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• Ricci-flat supertwistor spaces
• Super Calabi-Yau's and Special Lagrangians
• Gauged Linear Sigma Model on Supermanifold
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• On the Mini-Superambitwistor Space and N=8 Super Yang-Mills Theory
• Marginal Deformations of Tree-Level N=4 SYM from Twistor String Theory
• Twistor Strings with Flavour
• Gauge symmetries of strings in supertwistor space
• Canonical description of D=10 superstring formulated in supertwistor space
• Twistors, strings and supersymmetric gauge theories
• On perturbative field theory and twistor string theory
• One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices
• Adding flavour to twistor strings