1st Edition

Supersymmetric Gauge Field Theory and String Theory

By D. Bailin, Alexander Love Copyright 1994
    336 Pages
    by CRC Press

    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.

    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

    Biography

    D. Bailin (University of Sussex, UK) (Author) , Alexander Love (Royal Holloway & Bedford New College, University of London,) (Author)