1st Edition

Supersymmetric Gauge Field Theory and String Theory



ISBN 9780750302678
Published January 1, 1994 by CRC Press
322 Pages

USD $110.00

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Book Description

Designed as a sequel to the authors' Introduction to Gauge Field Theory, Supersymmetric Gauge Field Theory and String Theory introduces first-year graduate students to supersymmetric theories, including supergravity and superstring theories. Starting with the necessary background in quantum field theory, the book covers the three key topics of high-energy physics. The emphasis is on practical calculations rather than abstract generalities or phenomenological results. Where possible, the authors show how to calculate, connecting the theoretical with the phenomenological. While the field continues to advance and grow, this book addresses the basic theory at the core and will likely remain relevant even if more advanced ideas change.

Table of Contents

SUPERSYMMETRY ALGEBRA AND MULTIPLETS
Introduction
Dirac, Weyl and Mujorana Spinors
Simple supersymmetry algebra
Supersymmetry multiplets
Supersymmetric free field theory
Extended supersymmetry; References
Exercises

LAGRANGIANS FOR CHIRAL SUPERFIELDS
Introduction
Superfield representations of the supersymmetry algebra
Expansion of chiral superfield in component fields
Products of chiral superfields
Renormalisable supersymmetric Lagrangians for chiral superfields
Feynman rules for chiral supermultiplets
Mass and coupling constant renormalisation
Non-renormalisation theories
Spontaneous supersymmetry breaking
F-term supersymmetry breaking
References
Exercises

LAGRANGIANS FOR VECTOR SUPERFIELDS
Introduction
The vector superfield
Supersymmetric gauge invariance
Spontaneously broken gauge invariance
D-term supersymmetry breaking
Supersymmetric non-Abeldian gauge theories
Supersymmetric electroweak theory
Renormalisation group equation
References
Exercises

PURE SUPERGRAVITY
Introduction
Noether procedure
Globally supersymmetric Lagrangian for the supergravity multiplet
Locally supersymmetric Lagrangian for the supergravity multiplet
References
Exercises

COUPLING OF SUPERGRAVITY TO MATTER
Introduction
Supergravity Lagrangian for the Wess-Zumino model
General supergravity Lagrangian for chiral supermultiplets
General supergravity Lagrangian including vector supermultiplets
Spontaneous supersymmetry breaking in supergravity
Super-Higgs mechanism and gravitino mass
Hidden sector supersymmetry breaking
Supersymmetry breaking by gaugino condensate
Supersymmetry breaking effects in the observable sector
No scale supergravity
References
Exercises

SUPERGRAVITY GRAND UNIFIED THEORIES
Hierarchy problem
Minimal SU(5) supergravity GUT
Renormalisation group equations
Charginos and neutralinos
Experimental signatures
Proton decay
References
Exercises

THE BOSONIC STRING
Introduction
The bosonic string action
Equations of motion and covariant gauges
Mode expansions and quantisation
Virasoro algebra and masses of states for the closed string
Virasoro algebra and masses of states for the open string
Light cone gauge
Low lying string states
Path integral quantisation
References
Exercises

THE SUPERSTRING
Introduction
The superstring action
Equations of motion and covariant gauge
Mode expansions and quantisation
Super-virasoro algebra for the closed string
Closed superstring ground states and superconformal anomalies
Light cone gauge
Superstring states, GSO projections and space-time supersymmetry
Other formulations of the superstring
References
Exercises

THE HETEROTIC STRING
Introduction
Mode expansions and quantisation
Compactification of the bosonic string on a circle
Compactification of the heterotic string on a torus
Fermionisation and bosonisation
Fermionic formulation of the compactified heterotic string
References
Exercises

COMPACTIFICATION OF TEN DIMENSIONAL HETEROTIC STRING TO FOUR DIMENSIONS
Introduction
Toroidal compactifications
Orbifold compactifications
The untwisted sector of the Z^[3 orbifold
The twisted sector of the Z^[3 orbifold
Wilson lines
Calabi-Yau manifolds

DIRECT CONSTRUCTION OF FOUR DIMENSIONAL HETEROTIC STRING THEORIES
Introduction
Modular invariance and partition function
Partition functions and GSO projections
Four dimensional heterotic string theories
Semi-realistic four dimensional models
References
Exercises

SUPERSTRING INTERACTIONS
Introduction
Bosonic string vertex operators and conformal dimensions
Bosonic open string scattering amplitudes
Bosonic closed string amplitudes
Superstring vertex operator
Superstring scattering amplitudes
Review of further developments
References
Exercises

Appendices
Index

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