Noncommutative Instantons in Diverse Dimensions
arXiv:2207.12862 · doi:10.1140/epjs/s11734-023-00840-6
Abstract
This is a mini-review about generalized instantons of noncommutative gauge theories in dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their geometric interpretations, and their applications to the enumerative geometry of non-compact toric varieties.
arXiv comment27 pages, 4 figures; v2: typos fixed, minor improvements; v3: references updated; Contribution to the special issue of the European Physical Journal on "Noncommutativity and Physics"
References in corpus (77)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- A Strong Coupling Test of S-Duality
- Tachyon Condensation on the Brane Antibrane System
- D-Branes and Topological Field Theories
- Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
- The intrinsic normal cone
- Integrating Over Higgs Branches
- D-particle bound states and generalized instantons
- Quantum Foam and Topological Strings
- Instanton counting on blowup. I. 4-dimensional pure gauge theory
- The spectrum of BPS branes on a noncompact Calabi-Yau
- Solitons in Noncommutative Gauge Theory
- BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
- Affine SL(2) conformal blocks from 4d gauge theories
- Noncommutative Instantons and Twistor Transform
- Coulomb and Higgs Branches from Canonical Singularities: Part 0
- Special Quantum Field Theories In Eight And Other Dimensions
- Instantons on Noncommutative R^4 and Projection Operators
- BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
- Exact Noncommutative Solitons
- Instanton counting with a surface operator and the chain-saw quiver
- Enumerative geometry of Calabi-Yau 4-folds
- Multi instanton calculus on ALE spaces
- Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
- BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
- Noncommutative Tachyons and K-Theory
- Higher Dimensional Analogues of Donaldson-Witten Theory
- Gauge Theories on ALE Space and Super Liouville Correlation Functions
- BPS/CFT Correspondence III: Gauge Origami partition function and qq-characters
- Instantons on ALE spaces and Super Liouville Conformal Field Theories
- Twistor Approach to String Compactifications: a Review
- Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
- Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
- Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds
- Spiked Instantons from Intersecting D-branes
- Magnificent Four with Colors
- Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds
- Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
- The Nekrasov Conjecture for Toric Surfaces
- Noncommutative Instantons on the 4-Sphere from Quantum Groups
- Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
- Instantons on ALE spaces and orbifold partitions
- Non-Commutative Instantons and the Seiberg-Witten Map
- Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
- Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
- Quiver Gauge Theory and Noncommutative Vortices
- Quiver Matrix Model and Topological Partition Function in Six Dimensions
- Orientability for gauge theories on Calabi-Yau manifolds
- Double quiver gauge theory and nearly Kahler flux compactifications
- SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
- Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
- Instantons on the Quantum 4-Spheres S^4_q
- Cohomological Yang-Mills Theory in Eight Dimensions
- Poincare polynomial of moduli spaces of framed sheaves on (stacky) Hirzebruch surfaces
- Higher rank K-theoretic Donaldson-Thomas theory of points
- Instanton on toric singularities and black hole countings
- Supersymmetric D-brane Bound States with B-field and Higher Dimensional Instantons on Noncommutative Geometry
- N=2 quiver gauge theories on A-type ALE spaces
- Crystal melting on toric surfaces
- Fuzzy Instantons
- Moduli spaces of noncommutative instantons: gauging away noncommutative parameters
- Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds
- Cohomological Yang-Mills Theories on Kahler 3-Folds
- Tetrahedron instantons
- N=2 gauge theories, instanton moduli spaces and geometric representation theory
- Playing with the index of M-theory
- Crystals, instantons and quantum toric geometry
- Orbifold instantons, moment maps and Yang-Mills theory with sources
- Quantum instantons with classical moduli spaces
- Noncommutative Instantons on CP^n
- Eight Dimensional Noncommutative Instantons and D0-D8 Bound States with B-field
- Anti-selfdual Connections On The Quantum Projective Plane: Instantons
- On Framed Quivers, BPS Invariants and Defects
- Non-abelian instantons on a fuzzy four-sphere