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## 126 Citations

### Calorons and constituent monopoles

- Mathematics
- 2022

. We study anti-self-dual Yang–Mills instantons on R 3 × S 1 , also known as calorons, and their behaviour under collapse of the circle factor. In this limit, we make explicit the decomposition of…

### Instantons Versus Monopoles

- Physics
- 1999

We review results of the last two years concerning caloron solutions of unit charge with non-trivial holonomy, revealing the constituent monopole nature of these instantons. For SU(n) there are n…

### Gluino zero-modes for non-trivial holonomy calorons

- Physics
- 2006

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R 3 × S1. We compute corresponding zero- modes of the Dirac equation.…

### Multi-Calorons Revisited

- Physics
- 2009

Analytic Nahm data is re-examined for SU(2) calorons, or periodic instantons, of instanton charge 2. The Nahm equations are solved analytically in terms of Jacobi elliptic functions and the possible…

### Adjoint fermion zero-modes for SU(N) calorons

- Physics
- 2009

We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q = 1 SU(N) calorons. Solutions with various boundary conditions are…

### Determinant of the SU(N) caloron with nontrivial holonomy

- Physics
- 2007

The 1-loop quantum weight of the SU(N) Kraan-van Baal-Lee-Lu caloron with nontrivial holonomy is calculated. The caloron is the most general self-dual solution with unit topological charge in the 4d…

### SU(N) caloron measure and its relation to instantons

- Physics
- 2005

Calorons of the SU(N) gauge group with nontrivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N…

### 1/4 BPS dyonic calorons

- Physics
- 2003

We explore the 1/4 BPS configurations of the supersymmetric gauge theories on $R^{1+3} \times S^1$. The BPS bound for energy and the BPS equations are obtained and the characteristics of the BPS…

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