Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 1, 1984 | public
Journal Article

Curling up two spatial dimensions with SU(1,1)/U(1)

Abstract

It is seen that a nonlinear sigma model based on the noncompact coset space SU(1,1)/U(1) can curl up two spatial dimensions into a topologically noncompact surface of finite area with a compact U(1) isometry group. This mechanism can be used for several higher-dimensional supergravity theories. In particular, chiral N = 2, D = 10 supergravity would reduce to an N = 1, D = 8 theory in which the masslessness of fermions does not depend only on supersymmetry. Further reduction to four dimensions is possible.

Additional Information

© 1984 Elsevier. Received 19 July 1984. Work supported in part by the US Department of Energy under contract No. DE-AC03-81-ER40050 and by the Fleischmann Foundation. Work supported by the National Science Foundation under Research Grant No. PHY-82-03424.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023