Superstring Theory: 25th Anniversary Edition

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Cambridge University Press, Jul 26, 2012 - Science - 610 pages
Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory. Published during a period of rapid progress in this subject, these volumes were highly influential for a generation of students and researchers. Despite the immense progress that has been made in the field since then, the systematic exposition of the foundations of superstring theory presented in these volumes is just as relevant today as when first published. Volume 2 is concerned with the evaluation of one-loop amplitudes, the study of anomalies and phenomenology. It examines the low energy effective field theory analysis of anomalies, the emergence of the gauge groups E8 x E8 and SO(32) and the four-dimensional physics that arises by compactification of six extra dimensions. Featuring a new Preface setting the work in context in light of recent advances, this book is invaluable for graduate students and researchers in high energy physics and astrophysics, as well as mathematicians.
 

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Contents

Openstring oneloop amplitudes
9
A Jacobi G functions
69
Oneloop diagrams in superstring theory
75
A Traces of fermionic zero modes
134
The gauge anomaly in type I superstring theory
141
A An alternative regulator
173
Functional methods in the lightcone gauge
179
A The determinant of the Laplacian
256
B The Jacobian for the conformal transformation
265
Some differential geometry
271
Lowenergy effective action
307
Compactification of higher dimensions
363
Some algebraic geometry
413
Models of lowenergy supersymmetry
475
Bibliography
553
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About the author (2012)

Michael B. Green is the Lucasian Professor of Mathematics at the University of Cambridge.

John H. Schwarz is the Harold Brown Professor of Theoretical Physics at the California Institute of Technology.

Edward Witten is the Charles Simonyi Professor of Mathematical Physics at the Institute for Advanced Study, Princeton.