World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
No Access

NONLINEAR σ-MODEL ON MULTIDIMENSIONAL CURVED SPACE WITH CERTAIN CYLINDRICAL SYMMETRY

    https://doi.org/10.1142/9789814280389_0056Cited by:0 (Source: Crossref)
    Previous
    Next
    Abstract:

    A dual transformation is found for a class of nonlinear σ-model defined on a multidimensional curved space with cylindrical symmetry. The system is invariant under proper combination of the dual transformation and the general coordinate transformation. An infinite number of nonlocal conservation laws as well as the Kac-Moody algebra follow directly from the dual transformation. A Bäcklund transformation that generates new solutions from a given one can also be constructed.