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General bosonic \(\sigma\) models and string effective actions - MaRDI portal

General bosonic \(\sigma\) models and string effective actions (Q756229)

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scientific article; zbMATH DE number 4190788
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General bosonic \(\sigma\) models and string effective actions
scientific article; zbMATH DE number 4190788

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    General bosonic \(\sigma\) models and string effective actions (English)
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    1990
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    The author discusses the general renormalizable bosonic \(\sigma\) models with couplings (including the metric tensor, torsion and dilation field) and allowing for the definition of finite local dimension 2 composite operators and their products. A finite and well defined gauge invariant expression for the trace of the energy momentum tensor is derived. The Curci-Paffuti relation is obtained and a general formula for the action is constructed. Applications to gauged \(\sigma\)-models and to the \(\sigma\)-model on squashed \(S^ 3\) are discussed.
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    string theory
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    \(\sigma \) -model
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