## 96 Citations

### Vortices, instantons and branes

- Mathematics, Physics
- 2003

The purpose of this paper is to describe a relationship between the moduli space of vortices and the moduli space of instantons. We study charge vortices in Yang-Mills-Higgs theories and show that…

### The low energy dynamics of charge two dyonic instantons

- Physics, MathematicsJournal of High Energy Physics
- 2013

We explore the low energy dynamics of charge two instantons and dyonic instantons in SU(2) 5-dimensional Yang-Mills. We make use of the moduli space approximation and first calculate the moduli space…

### Calculating the prepotential by localization on the moduli space of instantons

- Physics
- 2002

We describe a new technique for calculating instanton effects in supersymmetric gauge theories applicable on the Higgs or Coulomb branches. In these situations the instantons are constrained and a…

### Monopoles, affine algebras and the gluino condensate

- Physics, Mathematics
- 2003

We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups. By initially compactifying the…

### D-branes and Non-Perturbative Quantum Field Theory: Stringy Instantons and Strongly Coupled Spintronics

- Physics
- 2012

The non-perturbative dynamics of quantum field theories is studied using theoretical tools inspired by string formalism. Two main lines are developed: the analysis of stringy instantons in a class of…

### Instanton Counting, Quantum Geometry and Algebra

- Mathematics
- 2021

The aim of this memoir for “Habilitation à Diriger des Recherches” is to present quantum geometric and algebraic aspects of supersymmetric gauge theory, which emerge from non-perturbative nature of…

### The Geometry of Dyonic Instantons in 5-dimensional Supergravity

- Physics
- 2007

We systematically construct and study smooth supersymmetric solutions in 5 dimensional N=1 Yang-Mills-Einstein supergravity. Our solution is based on the ADHM construction of (dyonic)…

### Instanton counting, Macdonald function and the moduli space of D-branes

- Mathematics
- 2005

We argue the connection of Nekrasov's partition function in the Ω background and the moduli space of D-branes, suggested by the idea of geometric engineering and Gopakumar-Vafa invariants. In the…

### Classical solutions for exotic instantons

- Mathematics
- 2009

We consider the D7/D(–1) system in Type I' as a prototypical ``exotic'' brane instanton. With respect to systems such as the D3/D(–1) ones, which correspond to gauge instantons in four dimensions,…

## References

SHOWING 1-10 OF 157 REFERENCES

### Instanton corrections in supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets

- Mathematics
- 1999

### Noncommutative Instantons: A New Approach

- Mathematics
- 2001

Abstract: We discuss instantons on noncommutative four-dimensional Euclidean space. In the commutative case one can consider instantons directly on Euclidean space, then we should restrict ourselves…

### Multi-instanton calculus in N=2 supersymmetric gauge theory.

- PhysicsPhysical review. D, Particles and fields
- 1996

This work examines the instanton physics directly, in particular the contribution of the general self-dual solution of topological charge constructed by Atiyah, Drinfeld, Hitchin, and Manin (ADHM), and calculates the one- and two-instanton contributions to the low-energy Seiberg-Witten effective action.

### General self-dual Yang-Mills solutions

- Physics
- 1978

The recent work of Atiyah, Hitchin, Drinfeld, and Manin is used to discuss self-dual Yang-Mills solutions for the compact gauge groups O(n), SU(n), and SP(n). It is shown that the resulting solutions…

### Localization and Diagonalization: A Review of Functional Integral Techniques for Low-Dimensional Gauge Theories and Topological Field Theories

- Mathematics
- 1995

Localization techniques for functional integrals which have recently been used to perform calculations in and gain insight into the structure of certain topological field theories and low‐dimensional…