Ebook: Quantum Non-linear Sigma-Models: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings

The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.

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The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.

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The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-4
Classical Structure and Renormalization....Pages 5-56
Supersymmetric NLSM....Pages 57-90
NLSM and Extended Superspace....Pages 91-164
NLSM and 2d Conformal Field Theory....Pages 165-201
NLSM and Strings....Pages 203-244
Chiral (1,0) NLSM and Heterotic Strings....Pages 245-293
LEEA in 4d, N = 2 Gauge Field Theories....Pages 295-345
Generalizations of NLSM....Pages 347-398
Back Matter....Pages 399-420

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The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-4
Classical Structure and Renormalization....Pages 5-56
Supersymmetric NLSM....Pages 57-90
NLSM and Extended Superspace....Pages 91-164
NLSM and 2d Conformal Field Theory....Pages 165-201
NLSM and Strings....Pages 203-244
Chiral (1,0) NLSM and Heterotic Strings....Pages 245-293
LEEA in 4d, N = 2 Gauge Field Theories....Pages 295-345
Generalizations of NLSM....Pages 347-398
Back Matter....Pages 399-420
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