Giant magnons of string theory in the lambda background

Autor(es)

Appadu, Calan ; Hollowood, Timothy J. ; Miramontes, J. Luis ; Price, Dafydd ; Schmidtt, David M.

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 7, p. 47-pg., 2017-07-20.

Resumo

The analogues of giant magnon configurations are studied on the string world sheet in the lambda background. This is a discrete deformation of the AdS(5) x S-5 background that preserves the integrability of the world sheet theory. Giant magnon solutions are generated using the dressing method and their dispersion relation is found. This reduces to the usual dyonic giant magnon dispersion relation in the appropriate limit and becomes relativistic in another limit where the lambda model becomes the generalized sine-Gordon theory of the Pohlmeyer reduction. The scattering of giant magnons is then shown in the semi-classical limit to be described by the quantum S-matrix that is a quantum group deformation of the conventional giant magnon S-matrix. It is further shown that in the small g limit, a sector of the S-matrix is related to the XXZ spin chain whose spectrum matches the spectrum of magnon bound states. (AU)

• Processo FAPESP: 12/09180-9 - D-branas e Supersimetria 2-dimensional q-deformada na Redução de Pohlmeyer de Modelos Sigma da Supercorda
• Beneficiário: Fernando David Marmolejo Schmidtt
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado