Table Of ContentThis page intentionally left blank
SUPERSYMMETRIC SOLITONS
Inthelastdecademethodsandtechniquesbasedonsupersymmetryhaveprovided
deep insights in quantum chromodynamics and other non-supersymmetric gauge
theoriesatstrongcoupling.Thisbooksummarizesmajoradvancesincriticalsoli-
tons in supersymmetric theories, and their implications for understanding basic
dynamicalregularitiesofnon-supersymmetrictheories.
After an extended introduction on the theory of critical solitons, including a
historical introduction, the authors focus on three topics: non-Abelian strings and
confined monopoles; reducing the level of supersymmetry; and domain walls as
D brane prototypes. They also provide a thorough review of issues at the cutting
edge,suchasnon-Abelianfluxtubes.Thebookpresentsanextensivesummaryof
thecurrentliteraturesothatresearchersinthisfieldcanunderstandthebackground
andrelatedissues.
MikhailShifmanistheIdaCohenFineProfessorofPhysicsattheUniversityof
Minnesota, and is one of the world leading experts on quantum chromodynamics
and non-perturbative supersymmetry. In 1999 he received the Sakurai Prize for
TheoreticalParticlePhysics,andin2006hewasawardedtheJuliusEdgarLilienfeld
Prize for outstanding contributions to physics. He is the author of several books,
over 300 scientific publications, and a number of popular articles and articles on
thehistoryofhigh-energyphysics.
AlexeiYungisaSeniorResearcherintheTheoreticalDepartmentatthePetersburg
Nuclear Physics Institute, Russia, and a Visiting Professor at the William I. Fine
TheoreticalPhysicsInstitute.Hisresearchinterestslieinnon-perturbativedynamics
ofnon-Abeliansupersymmetricgaugetheoriesanditsinterplaywithstringtheory,
andtheproblemofcolorconfinementinnon-Abeliangaugetheories.Manyofhis
recentadvancesintheseareasareincludedinthisbook.
CAMBRIDGEMONOGRAPHSONMATHEMATICALPHYSICS
GeneralEditors:P.V.Landshoff,D.R.Nelson,S.Weinberg
S.J.AarsethGravitationalN-BodySimulations:ToolsandAlgorithms
J.Ambjørn,B.DurhuusandT.JonssonQuantumGeometry:AStatisticalFieldTheoryApproach
A.M.AnileRelativisticFluidsandMagneto-fluids:WithApplicationsinAstrophysicsandPlasmaPhysics
J.A.deAzcárragaandJ.M.IzquierdoLieGroups,LieAlgebras,CohomologyandSomeApplicationsinPhysics†
O.Babelon,D.BernardandM.TalonIntroductiontoClassicalIntegrableSystems†
F.BastianelliandP.vanNieuwenhuizenPathIntegralsandAnomaliesinCurvedSpace
V.BelinskiandE.VerdaguerGravitationalSolitons
J.BernsteinKineticTheoryintheExpandingUniverse
G.F.BertschandR.A.BrogliaOscillationsinFiniteQuantumSystems
N.D.BirrellandP.C.W.DaviesQuantumFieldsinCurvedSpace†
M.BurgessClassicalCovariantFields
E.A.CalzettaandB.-L.B.HuNonequilibriumQuantumFieldTheory
S.CarlipQuantumGravityin2+1Dimensions†
P.CartierandC.DeWitt-MoretteFunctionalIntegration:ActionandSymmetries
J.C.CollinsRenormalization:AnIntroductiontoRenormalization,theRenormalizationGroupandtheOperator-
ProductExpansion†
M.CreutzQuarks,GluonsandLattices†
P.D.D’EathSupersymmetricQuantumCosmology
F.deFeliceandC.J.SClarkeRelativityonCurvedManifolds
B.DeWittSupermanifolds,2ndedition†
P.G.OFreundIntroductiontoSupersymmetry†
J.A.FuchsAffineLieAlgebrasandQuantumGroups:AnIntroduction,withApplicationsinConformalField
Theory†
J.FuchsandC.SchweigertSymmetries,LieAlgebrasandRepresentations:AGraduateCourseforPhysicists†
Y.FujiiandK.MaedaTheScalar-TensorTheoryofGravitation
A.S.Galperin,E.A.Ivanov,V.I.OrievetskyandE.S.SokatchevHarmonicSuperspace
R.GambiniandJ.PullinLoops,Knots,GaugeTheoriesandQuantumGravity†
T.GannonMoonshinebeyondtheMonster:TheBridgeConnectingAlgebra,ModularFormsandPhysics
M.GöckelerandT.SchückerDifferentialGeometry,GaugeTheoriesandGravity†
C.Gómez,M.Ruiz-AltabeandG.SierraQuantumGroupsinTwo-DimensionalPhysics
M.B.Green,J.H.SchwarzandE.WittenSuperstringTheoryVolume1:Introduction†
M. B. Green, J. H. Schwarz and E. Witten Superstring Theory Volume 2: Loop Amplitudes, Anomalies and
Phenomenology†
V.N.GribovTheTheoryofComplexAngularMomenta:GribovLecturesonTheoreticalPhysics
S.W.HawkingandG.F.R.EllisTheLargeScaleStructureofSpace-Time†
F.IachelloandA.ArimaTheInteractingBosonModel
F.IachelloandP.vanIsackerTheInteractingBoson-FermionModel
C.ItzyksonandJ.M.DrouffeStatisticalFieldTheoryVolume1:FromBrownianMotiontoRenormalizationand
LatticeGaugeTheory†
C. Itzykson and J. M. Drouffe Statistical Field Theory Volume 2: Strong Coupling, Monte Carlo Methods,
ConformalFieldTheoryandRandomSystems†
C.V.JohnsonD-Branes†
P.S.JoshiGravitationalCollapseandSpacetimeSingularities
J.I.KapustaandC.GaleFinite-TemperatureFieldTheory:PrinciplesandApplications,2ndedition
V.E.Korepin,N.M.BogoliubovandA.G.IzerginQuantumInverseScatteringMethodandCorrelationFunctions†
M.LeBellacThermalFieldTheory†
Y.MakeenkoMethodsofContemporaryGaugeTheory
N.MantonandP.SutcliffeTopologicalSolitons†
N.H.MarchLiquidMetals:ConceptsandTheory
I.MontvayandG.MünsterQuantumFieldsonaLattice†
L.O’RaifeartaighGroupStructureofGaugeTheories†
T.OrtínGravityandStrings†
A.M.OzoriodeAlmeidaHamiltonianSystems:ChaosandQuantization†
R.PenroseandW.RindlerSpinorsandSpace-TimeVolume1:Two-SpinorCalculusandRelativisticFields†
R. Penrose and W. Rindler Spinors and Space-Time Volume 2: Spinor and Twistor Methods in Space-Time
Geometry†
S.PokorskiGaugeFieldTheories,2ndedition†
J.PolchinskiStringTheoryVolume1:AnIntroductiontotheBosonicString
J.PolchinskiStringTheoryVolume2:SuperstringTheoryandBeyond
V.N.PopovFunctionalIntegralsandCollectiveExcitations†
R.J.RiversPathIntegralMethodsinQuantumFieldTheory†
R.G.RobertsTheStructureoftheProton:DeepInelasticScattering†
C.RovelliQuantumGravity†
W.C.SaslawGravitationalPhysicsofStellarandGalacticSystems†
M.ShifmanandA.YungSupersymmetricSolitons
H.Stephani,D.Kramer,M.MacCallum,C.HoenselaersandE.HerltExactSolutionsofEinstein’sFieldEquations,
2ndedition
J.StewartAdvancedGeneralRelativity†
T.ThiemannModernCanonicalQuantumGeneralRelativity
D.J.TomsTheSchwingerActionPrincipleandEffectiveAction
A.VilenkinandE.P.S.ShellardCosmicStringsandOtherTopologicalDefects†
R.S.WardandR.O.Wells,JrTwistorGeometryandFieldTheory†
J.R.WilsonandG.J.MathewsRelativisticNumericalHydrodynamics
†Issuedasapaperback
Supersymmetric Solitons
M.SHIFMAN
WilliamI.FineTheoreticalPhysicsInstitute
UniversityofMinnesota
A.YUNG
WilliamI.FineTheoreticalPhysicsInstitute
UniversityofMinnesota
PetersburgNuclearPhysicsInstitute
InstituteofTheoreticalandExperimentalPhysics
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridge.org/9780521516389
© M. Shifman and A. Yung 2009
This publication is in copyright. Subject to statutory exception and to the
provision of relevant collective licensing agreements, no reproduction of any part
may take place without the written permission of Cambridge University Press.
First published in print format 2009
ISBN-13 978-0-511-51780-8 eBook (NetLibrary)
ISBN-13 978-0-521-51638-9 hardback
Cambridge University Press has no responsibility for the persistence or accuracy
of urls for external or third-party internet websites referred to in this publication,
and does not guarantee that any content on such websites is, or will remain,
accurate or appropriate.
CaricatureofAlyoshaYungandMishaShifmanbyAndreyFeldshteyn,2007.
Description:This book summarizes major advances in critical solitons in supersymmetric theories, and their implications for understanding basic dynamical regularities of nonsupersymmetric theories. After an extended introduction on the theory of critical solitons, including a historical introduction, the author
