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1、hep-th/0611033DressingtheGiantMagnonIIChrysostomosKalousios,MarcusSpradlinandAnastasiaVolovichchrysostomoskalousios@brown.edu,spradlin@het.brown.edu,nastja@het.brown.eduBrownUniversityProvidence,RhodeIsland02912USAAbstractWeextendourearlierworkbydemonstratinghowtoconst
2、ructclassicalstringsolu-tionsdescribingarbitrarysuperpositionsofscatteringandboundstatesofdyonicgiantmagnonsonS5usingthedressingmethodfortheSU(4)/Sp(2)cosetmodel.WepresentarXiv:hep-th/0611033v12Nov2006aparticularscatteringsolutionwhichgeneralizessolutionsfoundinhep-th/
3、0607009andhep-th/0607044tothecaseofarbitrarymagnonmomenta.WecomputetheclassicaltimedelayforthescatteringoftwodyonicmagnonscarryingangularmomentawitharbitraryrelativeorientationontheS5.Contents1.Introduction.................................12.GiantMagnons...............
4、.................253.DressingMethodforS=SU(4)/Sp(2)......................354.GiantMagnonsonR×S...........................64.1.Asingledyonicgiantmagnon........................654.2.Ascatteringstateoftwodyonicmagnons,withthreespinsonS.........834.3.AscatteringstateoftwoH
5、Mmagnons,witharbitrarypositionsonthetransverseS95.ClassicalTimeDelayforScatteringofDyonicMagnons...............101.IntroductionThestudyofclassicalspinningstringsolutionsinAdS×S5hasprovidedawealth5ofdatafordetailedstudyoftheAdS/CFTcorrespondence.Aninterestingstepforward
6、wasrecentlytakenbyHofmanandMaldacena[1],whofoundtheclassicalstringsolutioncorrespondingtoasinglemagnoninthedualgaugetheory.InthiscontextthewordmagnonreferstoanelementaryexcitationwhichcantravelalongachainofZ’swithsomemomentump,i.e.XO∼eipl(···ZZZWZZZ···),(1.1)plwherethe
7、magnonWisinsertedatpositionlalongthechain.Thecorresponding‘gi-antmagnon’isanopenstringwhoseendpointsmoveatthespeedoflightalonganequatoroftheS5,separatedinlongitudebyananglep.Thisstatecarriesanin-finiteamountofangularmomentumJintheplaneoftheequatoroftheS5andischaracteriz
8、edbyafinitevalueof∆−J.Recentpapersongiantmagnonsinclude[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18].In[8]weemployedthe
