The first edition of this book was completed in 1986， however， much of the material was written long before. It focused on the development of fourdimensional supersymmetric models including supergravity with emphasis on their ultraviolet properties. Already in 1983， our understanding of the finiteness of rigid supersymmetric theories had led to the realization that supersymmetry was most unlikely to solve the celebrated inconsistency of quantum mechanics and gravity. This， and the fact that many aspects Of supersymmetric theories had been worked out， lead to a search for new ideas. It was inevitable that string theory， which had been extensively developed in the late 1960's and early 1970's would be revived from its dormant state. We recall that supersymmetry was discovered independently in two ways， one of which was within the superstring which contained it as a symmetry. Also during the dormant stage， theoreticians had developed BRST symmetry， conformal models， the vertex operator representation of Liealgebras， the use of the gauge group Es for grand unified models， even within the context of ten-dimensional supersymmetric theories and gained further understanding of anomalies. All these enabled the solution of some of the problems which the original pioneers of string theory had encountered.
作者簡介
作者：（英國）韋斯特（Peter West）
圖書目錄
preface to the second edition preface 1. introduction 2. the supersymmetry algebra 3. alternative approaches to the supersymmetry algebra 4. immediate consequences of the supersymmetry algebra 5. the wess-zumino model 6. n = 1 supersymmetric gauge theory: super qed 7. n = 1 yang-mills theory and the noether technique 8. the irreducible representations of supersymmetry 9. simple supergravity: linearized n = 1 supergravity 10. invariance of simple supergravity 11. tensor calculus of rigid supersymmetry 11.1 supermultiplets 11.2 combination of supermultiplets 11.3 action formulas 12. theories of extended rigid supersymmetry 12.1 n = 2 yang-mills 12.2 n = 2 matter 12.3 the general n = 2 rigid theory 12.4 the n = 4 yang-mills theory 13. the local tensor calculus and the coupling of supergravity to matter 14. superspace 14.1 an elementary account of n = 1 superspace 14.2 n = 1 superspace 14.3. n = 2 superspace 15. superspace formulations of rigid supersymmetric theories 15.1 n = 1 superspace theories: the wess-zumino model 15.2 n = 1 yang-mills theory 15.3 a geometrical approach to n = 1 supersymmetric yang-mills theory 15.4 n = 2 superspace theories 16. superspace formulation of n = 1 supergravity 16.1 geometry 16.2 the superspace constraints 16.3 analysis of the superspace constraints 16.4 superspace supergravity. from x-space supergravity 17. n = 1 super-feynman rules 17.1 general formalism 17.2 the wess-zumino multiplet 17.3 super yang-mills theory 17.4 applications of n = 1 super-feynman rules 17.5 divergence in super-feynman graphs 17.6 one-loop infinities in a general n = 1 supersymmetric theory 17.7 the background-field method 17.8 the superspace background-field method 18. ultra-violet properties of the extended rigid supersymmetric theories 18.1 the anomalies argument 18.2 the non-renormalization argument 18.3 finite n = 2 supersymmetric rigid theories 18.4 explicit breaking and finiteness 19. spontaneous breaking of supersymmetry and realistic models 19.1 tree-level breaking of supersymmetry 19.2 quantum breaking of supersymmetry 19.3 the gauge hierarchy problem 19.4 comments on the construction of realistic models 20. currents in supersymmetric theories 20.1 general considerations 20.2 currents in the wess-zumino model 20.3 currents in n = i super yang-mills theory 20.4 quantum generated anomalies 20.5 currents and supergravity formulations 21. introduction to two-dimensional supersymmetric models and superstring actions 21.1 2-dimensional models of rigid supersymmetry 21.2 coupling of 2-dimensional matter to supergravity 22. two-dimensional supersymmetry algebras 22.1 conventions in two-dimensional minkowski and euclidean spaces 22.2 superalgebras in two-dimensions 22.3 irreducible representations of two-dimensional supersymmetry 23. two-dimensional superspace and the construction of models 23.1 minkowski superspaces 23.2 euclidean superspaces 24. superspace formulations of two-dimensional supergravities 24.1 geometrical framework 24.2 (1,0) supergravity 24.3 (1, 1) supergravity 25. the superconformal group 25.1 the conformal group in arbitrary dimensions 25.2 the two-dimensional conformal group 25.3 the (1, 1) superconformal group 25.4 the (2, 2) superconformal group 26. green functions and operator product expansions in (2, 2) superconformal models 26.1 two and three point green functions 26.2 chiral correlators in (2, 2) superconformal models 26.3 super operator product expansions 27. gauge covariant formulation of strings 27.1 the point particle 27.2 the bosonic string 27.3 oscillator formalism 27.4 the gauge covariant theory at low levels 27.5 the finite set 27.6 the infinite set 27.7 the master set 27.8 the on-shell spectrum of the master set appendix a: an explanation of our choice of conventions appendix b: list of reviews and books appendix c: problems references subject index
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