Classical solutions of \({\mathbb{C}}P^ n\) non linear \(\sigma\)-models; an algebraic geometrical description
type: Item
instance of: scholarly article
title: Classical solutions of \({\mathbb{C}}P^ n\) non linear \(\sigma\)-models; an algebraic geometrical description
zbMATH Open document ID: 0588.14007
DOI: 10.1016/0393-0440(84)90014-7
author: B. George
published in: Journal of Geometry and Physics
publication date: 1984-01-01T00:00:00Z
review text: Smooth maps \(\phi\) : \(S_ g\to {\mathbb{P}}^ n\) from a surface \(S_ g\) of genus g into complex projective r-space which minimize the energy functional \(E(\phi)=\int_{S_ g}\epsilon (\phi)\quad are\) studied in order, for instance, to see if they are holomorphic. The absolute minima of this energy function are the instantons and the moduli space of such instantons in terms of linear series on \(S_ g\) is determined. Thus the interplay between algebraic geometry and mathematical physics is exposed. Although the paper is somewhat rambling, it is generally easy to read with many interesting aspects.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 32J25
Mathematics Subject Classification ID: 14H15
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 3944008
zbMATH Keywords: SO(3)-invariant \(\sigma \) -model
zbMATH Keywords: minimum of energy function
zbMATH Keywords: moduli space of instantons
MaRDI profile type: Publication
full work available at URL: 0393-0440(84)90014-7
OpenAlex ID: W1965613101
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description: scientific article; zbMATH DE number 3944008