超对称和超引力导论 : 第2版

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

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 1960s and early 1970s 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.

《超对称和超引力导论（第2版）（英文版）》是由世界图书出版公司出版的。