Work

Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R × S 2 and their pohlmeyer reduction

Year: 2018

Type: article

Abstract: We study classical string solutions on $$\mathbb {R}\times \hbox {S}^2$$ that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived by inverting the Pohlmeyer reduction. A mapping of the physical properties of the string solutions to those of their Pohlmeyer counterparts is established. An interesting element of this mapping is the association of the number of spikes of the string to the topological charge in the sine-Gordon theory. Finally, the adopted parametrization of the solutions facilitates the identification of a dense subset of the moduli space of solutions, where the dispersion relation can be expressed in a closed form, arbitrarily far from the infinite size limit.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-018-6429-1

Authors: Dimitrios Katsinis, Ioannis Mitsoulas, Georgios Pastras

Institutions: National and Kapodistrian University of Athens, National Centre of Scientific Research "Demokritos", Institute of Nuclear and Particle Physics, National Technical University of Athens

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: European Social Fund

Award: G2426432956