Supersymmetric Gauge Field Theory and String Theory

ISBN-13: 9780750302678 / Angielski / Miękka / 1994 / 336 str.

D. Bailin; A. Love; David Bailin

Opis

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.

Spis treści

SUPERSYMMETRY ALGEBRA AND MULTIPLETSIntroductionDirac, Weyl and Mujorana SpinorsSimple supersymmetry algebraSupersymmetry multipletsSupersymmetric free field theoryExtended supersymmetry; ReferencesExercisesLAGRANGIANS FOR CHIRAL SUPERFIELDSIntroductionSuperfield representations of the supersymmetry algebraExpansion of chiral superfield in component fieldsProducts of chiral superfieldsRenormalisable supersymmetric Lagrangians for chiral superfieldsFeynman rules for chiral supermultipletsMass and coupling constant renormalisationNon-renormalisation theoriesSpontaneous supersymmetry breakingF-term supersymmetry breakingReferencesExercisesLAGRANGIANS FOR VECTOR SUPERFIELDSIntroductionThe vector superfieldSupersymmetric gauge invarianceSpontaneously broken gauge invarianceD-term supersymmetry breakingSupersymmetric non-Abeldian gauge theoriesSupersymmetric electroweak theoryRenormalisation group equationReferencesExercisesPURE SUPERGRAVITYIntroductionNoether procedureGlobally supersymmetric Lagrangian for the supergravity multipletLocally supersymmetric Lagrangian for the supergravity multipletReferencesExercisesCOUPLING OF SUPERGRAVITY TO MATTERIntroductionSupergravity Lagrangian for the Wess-Zumino modelGeneral supergravity Lagrangian for chiral supermultipletsGeneral supergravity Lagrangian including vector supermultipletsSpontaneous supersymmetry breaking in supergravitySuper-Higgs mechanism and gravitino massHidden sector supersymmetry breakingSupersymmetry breaking by gaugino condensateSupersymmetry breaking effects in the observable sectorNo scale supergravityReferencesExercisesSUPERGRAVITY GRAND UNIFIED THEORIESHierarchy problemMinimal SU(5) supergravity GUTRenormalisation group equationsCharginos and neutralinosExperimental signaturesProton decayReferencesExercises THE BOSONIC STRINGIntroductionThe bosonic string actionEquations of motion and covariant gaugesMode expansions and quantisationVirasoro algebra and masses of states for the closed stringVirasoro algebra and masses of states for the open stringLight cone gaugeLow lying string statesPath integral quantisationReferencesExercisesTHE SUPERSTRINGIntroductionThe superstring actionEquations of motion and covariant gaugeMode expansions and quantisationSuper-virasoro algebra for the closed stringClosed superstring ground states and superconformal anomaliesLight cone gaugeSuperstring states, GSO projections and space-time supersymmetryOther formulations of the superstringReferencesExercisesTHE HETEROTIC STRINGIntroductionMode expansions and quantisationCompactification of the bosonic string on a circleCompactification of the heterotic string on a torusFermionisation and bosonisationFermionic formulation of the compactified heterotic stringReferencesExercisesCOMPACTIFICATION OF TEN DIMENSIONAL HETEROTIC STRING TO FOUR DIMENSIONSIntroductionToroidal compactificationsOrbifold compactificationsThe untwisted sector of the Z^[3 orbifoldThe twisted sector of the Z^[3 orbifoldWilson linesCalabi-Yau manifoldsDIRECT CONSTRUCTION OF FOUR DIMENSIONAL HETEROTIC STRING THEORIES IntroductionModular invariance and partition functionPartition functions and GSO projectionsFour dimensional heterotic string theoriesSemi-realistic four dimensional modelsReferencesExercisesSUPERSTRING INTERACTIONSIntroductionBosonic string vertex operators and conformal dimensionsBosonic open string scattering amplitudesBosonic closed string amplitudesSuperstring vertex operatorSuperstring scattering amplitudesReview of further developmentsReferencesExercisesAppendicesIndex

O autorze

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