Best Seller!
Supersymmetric Gauge Field Theory and String Theory: 1st Edition (Paperback) book cover

Supersymmetric Gauge Field Theory and String Theory

1st Edition

By D. Bailin, Alexander Love

CRC Press

322 pages

Purchasing Options:$ = USD
Paperback: 9780750302678
pub: 1994-01-01
SAVE ~$15.75
$105.00
$89.25
x


FREE Standard Shipping!

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

About the Series

Graduate Student Series in Physics

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCI051000
SCIENCE / Nuclear Physics