Abstract
We develop the Ercolani—Sinha construction of SU(2) monopoles, which provides a gauge transform of the Nahm data.
Similar content being viewed by others
References
N. Manton and P. Sutcliffe, Topological Solitons, Cambridge Univ. Press, Cambridge (2004).
N. J. Hitchin, Comm. Math. Phys., 83, 579–602 (1982).
N. J. Hitchin, Comm. Math. Phys., 89, 145–190 (1983).
W. Nahm, “The construction of all self-dual multimonopoles by the ADHMmethod,” in: Monopoles in Quantum Field Theory (N. S. Craigie, P. Goddard, and W. Nahm, eds.), World Scientific, Singapore (1982), pp. 87–94.
N. Ercolani and A. Sinha, Comm. Math. Phys., 125, 385–416 (1989).
B. A. Dubrovin, Funct. Anal. Appl., 11, No. 4, 265–277 (1977).
H. W. Braden and V. Z. Enolski, “Remarks on the complex geometry of the 3-monopole,” arXiv:mathph/0601040v1 (2006).
H. W. Braden and V. Z. Énol’skii, Sb. Math., 201, 801–853 (2010).
H. W. Braden and V. Z. Enolski, Comm. Math. Phys., 299, 255–282 (2010); arXiv:0908.3449v1 [math-ph] (2009).
H. W. Braden and V. Z. Enolski, Glasgow Math. J., 51, No. A, 25–41 (2009); arXiv:0806.1807v1 [math-ph] (2008).
J. Hurtubise, Comm. Math. Phys., 92, 195–202 (1983).
E. Corrigan and P. Goddard, Comm. Math. Phys., 80, 575–587 (1981).
J. D. Fay, Theta Functions on Riemann Surfaces (Lect. Notes Math., Vol. 352), Springer, Berlin (1973).
A. Clebsch and P. Gordan, Theorie der Abelschen Funktionen, Teubner, Leipzig (1866).
Yu. Fedorov, Acta Appl. Math., 55, 251–301 (1999).
H. W. Braden and Yu. N. Fedorov, J. Geom. Phys., 58, 1346–1354 (2008); arXiv:math-ph/0701045v1 (2007).
H. F. Baker, Abel’s Theorem and the Allied Theory of Theta Functions, Cambridge Univ. Press, Cambridge (1897, reprinted 1995).
J.-Ichi Igusa, Theta Functions (Grund. Math. Wiss., Vol. 194), Springer, Berlin (1972).
H. M. Farkas and I. Kra, Riemann Surfaces (Grad. Texts in Math., Vol. 71), Springer, New York (1980).
Author information
Authors and Affiliations
Additional information
Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 3, pp. 389–425, December, 2010.
Rights and permissions
About this article
Cite this article
Braden, H.W., Enolski, V.Z. Some remarks on the Ercolani—Sinha construction of monopoles. Theor Math Phys 165, 1567–1597 (2010). https://doi.org/10.1007/s11232-010-0131-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-010-0131-2