Matrix Models and D-branes in Twistor String Theory

Abstract

We construct two matrix models from twistor string theory: one by dimensional reduction onto a rational curve and another one by introducing noncommutative coordinates on the fibres of the supertwistor space P^(3|4)->CP^1. We comment on the interpretation of our matrix models in terms of topological D-branes and relate them to a recently proposed string field theory. By extending one of the models, we can carry over all the ingredients of the super ADHM construction to a D-brane configuration in the supertwistor space P^(3|4). Eventually, we present the analogue picture for the (super) Nahm construction.

1+37 pages, reference added, JHEP style, published version

References in corpus (72)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Bound States Of Strings And $p$-Branes
• A Large-N Reduced Model as Superstring
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Brane Dynamics From the Born-Infeld Action
• Gauge Fields and D-branes
• The Calculus of Many Instantons
• Quantum Foam and Topological Strings
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• N=4 Topological Strings
• Superbranes and Superembeddings
• D-branes, Monopoles and Nahm Equations
• Super-Poincare Invariant Superstring Field Theory
• The self-dual sector of QCD amplitudes
• Topological strings on noncommutative manifolds
• TASI Lectures on Solitons
• Noncommutative Instantons and Twistor Transform
• Noncommutative Multi-Solitons in 2+1 Dimensions
• S-duality and Topological Strings
• The N=2(4) string is self-dual N=4 Yang-Mills
• Cubic Twistorial String Field Theory
• N=2 strings and the twistorial Calabi-Yau
• Anti-self-dual Yang-Mills equations on noncommutative spacetime
• Scattering of Noncommutative Solitons in 2+1 Dimensions
• Noncommutative Solitons in Open N=2 String Theory
• All Loop N=2 String Amplitudes
• Untwisting the twistor superstring
• Brane/anti-Brane Systems and U(N|M) Supergroup
• Integrable Noncommutative Sine-Gordon Model
• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Noncommutative 't Hooft Instantons
• The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations
• 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
• On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory
• Open N=2 strings in a B-field background and noncommutative self-dual Yang-Mills
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• A tour through N=2 strings
• Exact Solutions of Berkovits' String Field Theory
• Noncommutative Instantons via Dressing and Splitting Approaches
• Some properties of the integrable noncommutative sine-Gordon system
• Orbifolding the Twistor String
• The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory
• Noncommutative Monopoles and Riemann-Hilbert Problems
• On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory
• Supertwistors and Cubic String Field Theory for Open N=2 Strings
• Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
• Stringy Derivation of Nahm Construction of Monopoles
• Interacting Fields of Arbitrary Spin and N>4 Supersymmetric Self-dual Yang-Mills Equations
• Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings
• On the Integrability of Covariant Field Theory for Open N=2 Strings
• Dressing Symmetries of Holomorphic BF Theories
• Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds
• Conifold geometries, topological strings and multi-matrix models
• Holomorphic Analogs of Topological Gauge Theories
• Covariant field theory for self-dual strings
• Solving String Field Equations: New Uses for Old Tools
• On Nonperturbative Solutions of Superstring Field Theory
• Mirror Symmetry of Calabi-Yau Supermanifolds
• Ricci-flat supertwistor spaces
• String Field Theory Projectors for Fermions of Integral Weight
• Mathematics and Physics of N=2 Strings
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• String Field Theory Vertices for Fermions of Integral Weight
• D-branes in N=2 Strings
• On the Mini-Superambitwistor Space and N=8 Super Yang-Mills Theory
• D-Brane Scattering of N=2 Strings
• The Mini-Superambitwistor Space
• On A Superfield Extension of The ADHM Construction and N=1 Super Instantons

Cited by in corpus (17)

• Twistor Actions for Self-Dual Supergravities
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Self-Dual Supergravity and Twistor Theory
• Hidden Symmetries and Integrable Hierarchy of the N=4 Supersymmetric Yang-Mills Equations
• Instantons, Twistors, and Emergent Gravity
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• Conifold geometries, matrix models and quantum solutions
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• Construction of Fuzzy Spaces and Their Applications to Matrix Models
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Twistor Strings with Flavour
• Flavour from partially resolved singularities
• Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• On perturbative field theory and twistor string theory
• Ambitwistor Yang-Mills Theory Revisited
• Gravity Amplitudes from a Gaussian Matrix Model