Sigma models in the presence of dynamical point-like defects

Anastasia Doikou; Nikos Karaiskos

doi:10.1016/j.nuclphysb.2012.10.016

Sigma models in the presence of dynamical point-like defects

Anastasia Doikou, Nikos Karaiskos

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Point-like Liouville integrable dynamical defects are introduced in the context of the Landau-Lifshitz and Principal Chiral (Faddeev-Reshetikhin) models. Based primarily on the underlying quadratic algebra we identify the first local integrals of motion, the associated Lax pairs as well as the relevant sewing conditions around the defect point. The involution of the integrals of motion is shown taking into account the sewing conditions.

Original language	English
Pages (from-to)	872–886
Number of pages	15
Journal	Nuclear Physics B
Volume	867
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2012.10.016
Publication status	Published - 21 Feb 2013

Keywords

hep-th
math-ph
math.MP
nlin.SI

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10.1016/j.nuclphysb.2012.10.016

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title = "Sigma models in the presence of dynamical point-like defects",

abstract = "Point-like Liouville integrable dynamical defects are introduced in the context of the Landau-Lifshitz and Principal Chiral (Faddeev-Reshetikhin) models. Based primarily on the underlying quadratic algebra we identify the first local integrals of motion, the associated Lax pairs as well as the relevant sewing conditions around the defect point. The involution of the integrals of motion is shown taking into account the sewing conditions.",

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AU - Karaiskos, Nikos

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PY - 2013/2/21

Y1 - 2013/2/21

N2 - Point-like Liouville integrable dynamical defects are introduced in the context of the Landau-Lifshitz and Principal Chiral (Faddeev-Reshetikhin) models. Based primarily on the underlying quadratic algebra we identify the first local integrals of motion, the associated Lax pairs as well as the relevant sewing conditions around the defect point. The involution of the integrals of motion is shown taking into account the sewing conditions.

AB - Point-like Liouville integrable dynamical defects are introduced in the context of the Landau-Lifshitz and Principal Chiral (Faddeev-Reshetikhin) models. Based primarily on the underlying quadratic algebra we identify the first local integrals of motion, the associated Lax pairs as well as the relevant sewing conditions around the defect point. The involution of the integrals of motion is shown taking into account the sewing conditions.

KW - hep-th

KW - math-ph

KW - math.MP

KW - nlin.SI

U2 - 10.1016/j.nuclphysb.2012.10.016

DO - 10.1016/j.nuclphysb.2012.10.016

M3 - Article

SN - 0550-3213

VL - 867

SP - 872

EP - 886

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Sigma models in the presence of dynamical point-like defects

Abstract

Keywords

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