Publication: From Ramond fermions to Lamé equations for orthogonal curvilinear coordinates
Loading...
Official URL
Full text at PDC
Publication Date
1998-09-24
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science BV
Abstract
We show how Ramond free neutral Fermi fields lead to a Ƭ-function theory of BKP type which describes iso-orthogonal deformations of systems of orthogonal curvilinear coordinates. We also provide a vertex operator representation for the classical Ribaucour transformation.
Description
©1998 Elsevier Science B.V.
UCM subjects
Unesco subjects
Keywords
Citation
[1] L. Bianchi, Lezione di Geometria Differenziale, 3- a ed., Zanichelli, Bologna, 1924.
[2] G. Darboux, Lec¸ons sur la theorie generale des surfaces IV, Gauthier-Villars, Paris, 1896. Peprinted by Chelsea Publishing Company, New York, 1972.
[3] G. Darboux, Lec¸ons sur les systemes orthogonaux et les coordenées curvilignes (deuxieme edition), Gauthier-Villars, Paris, 1910 (the first edition was in 1897) . Reprinted by Éditions Jacques Gabay, Sceaux, 1993.
[4] G. Darboux, Ann. L’Ecole Normale 3 (1866) 97.
[5] E. Date, M. Jimbo, M. Kashiwara, T. Miwa, Physica D 4 (1982) 343.
[6] A. Doliwa, M. Mañas, L. Martínez Alonso, E. Medina, P.M. Santini, Charged Free Fermions, Vertex Operators and Classical Theory of Conjugate Nets, 1998, solv-intr9803015.
[7] R. Dijkgraff, E. Verlinde, H. Verlinde, Nucl. Phys. B 352 (1991) 59.
[8] B. Dubrovin, Nucl. Phys. B 379 1992 627.
[9] L.P. Eisenhart, A Treatise on the Differential Geometry of Curves and Surfaces, Ginn, Co., Boston, 1909.
[10] L.P. Eisenhart, Transformations of Surfaces, Princeton University Press, Princeton, 1923. Reprinted by Chelsea Publishing Company, New York, 1962.
[11] D.-Th. Egorov, Comp. Rend. Acad. Sci. Paris 131 (1900) 668; 132 (1901) 174.
[12] P. Goddard, D. Olive, Int. J. Mod. Phys. 1 (1986) 303.
[13] I.M. Krichever, Func. Anal. Appl. 31 (1997) 25.
[14] G. Lamé, Lec çons sur la théorie des coordenées curvilignes et leurs diverses applications, Mallet-Bachalier, Paris, 1859.
[15] A. Ribaucour, Comp. Rend. Acad. Sci. Paris 74 (1872) 1489.
[16] G. Segal, G. Wilson, Publ. Math. IHES 61 (1985) 5.
[17] E. Witten, Nucl. Phys. B 340 (1990) 281.
[18] V.E. Zakharov, On Integrability of the Equations Describing N-Orthogonal Curvilinear Coordinate Systems and Hamiltonian Integrable Systems of Hydrodynamic Type I: Integration of the Lame Equations, Preprint, 1996.