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.
Author(s): Sergei V. Ketov
Series: Texts and Monographs in Physics
Edition: 1
Publisher: Springer
Year: 2000
Language: English
Pages: 434
Preface......Page Ch1_page0004_2R.djvu
Contents......Page Ch1_page0005_2R.djvu
1. Introduction......Page Ch1_page0007_2R.djvu
2. Classical Structure and Renormalization ......Page Ch2_page0001_2R.djvu
3. Supersymmetric NLSM......Page Ch2_page0027_2R.djvu
4. NLSM and Extended Superspace......Page Ch3_page0017_2R.djvu
5. NLSM and 2d Conformal Field Theory ......Page Ch4_page0038_2R.djvu
6. NLSM and Strings......Page Ch5_page0019_2R.djvu
7. Chiral (1,0) NLSM and Heterotic Strings ......Page Ch6_page0021_2R.djvu
8. LEEA in 4d, N=2 Gauge Field Theories......Page Ch7_page0025_2R.djvu
9. Generalizations of NLSM......Page Ch9_page0001_2R.djvu
References ......Page Ch9_page0027_2R.djvu
Text Abbreviations......Page Ch9_page0035_2R.djvu
Index......Page Ch9_page0036_2R.djvu
