Notes on Branes in Matrix Theory
We study the effective actions of various brane configurations in Matrix theory. Starting from the 0+1 dimensional quantum mechanics, we replace coordinate matrices by covariant derivatives in the large N limit, thereby obtaining effective field theories o
CALT-68-2123
June1997
NotesonBranesinMatrixTheory
arXiv:hep-th/9706196v3 8 Nov 1997EskoKeski-Vakkuri1andPerKraus2CaliforniaInstituteofTechnologyPasadenaCA91125,USAAbstract:Westudythee ectiveactionsofvariousbranecon gurationsinMatrixtheory.Startingfromthe0+1dimensionalquantummechanics,wereplacecoordinatematricesbycovariantderivativesinthelargeNlimit,therebyobtaininge ective eldtheoriesonthebraneworldvolumes.Evenfornoncompactbranes,thesee ectivetheoriesareofYang-Millstype,withconstantbackgroundmagnetic elds.InthecaseofaD2-brane,weshowexplicitlyhowthee ectiveactionequalsthelargemagnetic eldlimitoftheBorn-Infeldaction,andthusderivefromMatrixtheorytheactionusedbyPolchinskiandPouliottocomputeM-momentumtransferbetweenmembranes.Wealsoconsiderthee ectofcompactifyingtransversedirections.Finally,weanalyzeascattering
processinvolvingarecentlyproposedbackgroundrepresentingaclassicallystableD6+D0branecon guration.Wecomputethepotentialbetweenthiscon gurationandaD0-brane,andshowthattheresultagreeswithsupergravity.
1WorksupportedinpartbyaDOEgrantDE-FG03-92-ER40701.
E-mail:esko@theory.caltech.edu
2WorksupportedinpartbyaDOEgrantDE-FG03-92-ER40701andbyaDuBridgeFellowship.E-mail:perkraus@theory.caltech.edu
