## 45 Citations

### Superpartner solutions of a BPS monopole in noncommutative space

- Mathematics
- 2001

We construct $U(2)$ BPS monopole superpartner solutions in $N=2$ noncommutative super-Yang-Mills theory. The calculation to second order in the noncommutative parameter \ensuremath{\theta} shows that…

### A monopole solution from noncommutative multi-instantons

- Mathematics
- 2004

We extend the relation between instanton and monopole solutions of the selfduality equations in SU(2) gauge theory to noncommutative space-times. Using this approach and starting from a…

### Weyl equation and (non)-commutative SU(n + 1) BPS monopoles

- Mathematics
- 2010

We apply the ADHMN construction to obtain the SU(n + 1) (for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving…

### Fluxons and exact BPS solitons in non-commutative gauge theory

- Mathematics
- 2000

We show that the fluxon solution of the non-commutative gauge theory and its variations are obtained by the soliton generation method recently given by J. A. Harvey, P. Kraus and F. Larsen…

### Nonlinear/noncommutative non-Abelian monopoles

- Mathematics
- 2002

Using recently proposed non-linearly realized supersymmetry in non-Abelian gauge theory corrected to the order (alpha')^2, we derive the non-linear BPS equations in the background B-field for the…

### Noncommutative Monopole at the Second Order in θ

- Mathematics
- 2000

We study the noncommutative U(2) monopole solution at the second order in the noncommutativity parameter \theta^{ij}. We solve the BPS equation in noncommutative super Yang-Mills theory to…

### Noncommutative monopoles and Riemann-Hilbert problems

- Mathematics
- 2004

The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to…

## References

SHOWING 1-10 OF 27 REFERENCES

### Brane Configuration from Monopole Solution in Non-Commutative Super Yang-Mills Theory

- Mathematics
- 1999

We study the structure of the monopole configuration in U(2) non-commutative super Yang-Mills theory. Our analysis consists of two steps: solving the BPS equation and then the eigenvalue equation in…

### Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory

- Physics, Mathematics
- 1998

Abstract:We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of…

### Monopoles and dyons in non-commutative geometry

- Physics
- 1999

Taking advantage of the equivalence between supersymmetric Yang-Mills theory on non-commutative spaces and the field theory limit of D3-branes in the background of NSNS 2-form field, we investigate…

### D-branes and the noncommutative torus

- Mathematics
- 1998

We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as D-brane world-volume theories. This gives strong evidence that they are…

### Magnetic fields, branes, and noncommutative geometry

- Physics
- 2000

We construct a simple physical model of a particle moving on the infinite noncommutative 2-plane. The model consists of a pair of opposite charges moving in a strong magnetic field. In addition, the…

### String theory and noncommutative geometry

- Mathematics, Physics
- 1999

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally…

### Construction of spherically symmetric monopoles using the Atiyah-Drinfeld-Hitchin-Manin-Nahm formalism

- Mathematics
- 1983

Nahm's equations are solved for the cases corresponding to the spherically symmetric $\mathrm{SU}(N)$ monopoles of Wilkinson and Bais and their solutions reconstructed using his adaptation of the…