Abstract
We desribe the minimal configurations of the bosonic membrane potential, when the membrane wraps up in an irreducible way over S 1×S 1. The membrane 2-dimensional spatial world volume is taken as a Riemann Surface of genus g with an arbitrary metric over it. All the minimal solutions are obtained and described in terms of 1-forms over an associated U(1) fiber bundle. It is shown that there are no infinite dimensional valleys at the minima.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
B. de Wit, M. Lüscher and H. Nicolai (1989), Nucl. Phys. B320 135
M.J. Duff, T. Inami, C.N. Pope, E. Sezgin and K.S. Stelle (1988), Nucl. Phys. B297 515.
J.G. Russo (1997), Nucl. Phys. B492205.
B. de Wit, K. Peeters and J. Plefka (1997), hep-th/9705225.
I. Martin, A. Restuccia ant R. Torrealba (1998), Nucl. Phys. B521 117.
M. Caicedo, I. Martin and A. Restuccia (1997), hep-th/9701010; Proceedings of I SILAFAE, Yucatan, Mexico November 1996.
A. Weil (1957), Varits Kaehlriennes, Hermann.
I. Martin and A. Restuccia (1997), Lett. Math. Phys. 39 (4).
F. Ferrari (1993), hep-th/9310024.
A. Trautman (1977), Internat. J. Theoret. Phys. 16, 561
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag
About this paper
Cite this paper
Martin, I., Restuccia, A. (1999). On some stability properties of compactified D=11 supermembranes. In: Wess, J., Ivanov, E.A. (eds) Supersymmetries and Quantum Symmetries. Lecture Notes in Physics, vol 524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104600
Download citation
DOI: https://doi.org/10.1007/BFb0104600
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66004-0
Online ISBN: 978-3-540-48795-1
eBook Packages: Springer Book Archive