Symplectic structure for elastic and chiral conducting cosmic string models

Abstract

This article is based on the covariant canonical formalism and corresponding symplectic structure on phase space developed by Witten, Zuckerman and others in the context of field theory. After recalling the basic principles of this procedure, we construct the conserved bilinear symplectic current for generic elastic string models. These models describe current carrying cosmic strings evolving in an arbitrary curved background spacetime. Particular attention is paid to the special case of the chiral string for which the worldsheet current is null. Different formulations of the chiral string action are discussed in detail, and as a result the integrability property of the chiral string is clarified.

18 pages

References in corpus (3)

• Dynamical instability criterion for circular (vorton) string loops
• Identically closed two-form for covariant phase space quantization of Dirac-Nambu-Goto p-branes in a curved spacetime
• Global symplectic potentials on the Witten covariant phase space for bosonic extendons

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• Revisit of Y-junctions for strings with currents: transonic elastic case
• Are fast radio bursts generated by cosmic string cusps?
• Poly-essential and general Hyperelastic World (brane) models