We consider a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any odd world-volume dimension, hence the acronym WILL-branes (Weyl-Invariant Light-Like branes). We discuss in some detail the prop

NovelAspectsinp-BraneTheories:

Weyl-InvariantLight-LikeBranes

EduardoGuendelmanandAlexanderKaganovich

DepartmentofPhysics,Ben-GurionUniversity,Beer-Sheva,Israel

email:guendel@bgumail.bgu.ac.il,alexk@bgumail.bgu.ac.il

arXiv:hep-th/0409208v4 28 Jul 2005EmilNissimovandSvetlanaPachevaInstituteforNuclearResearchandNuclearEnergy,BulgarianAcademyofSciences,So a,Bulgariaemail:nissimov@inrne.bas.bg,svetlana@inrne.bas.bgAbstractWeconsideranovelclassofWeyl-conformallyinvariantp-branetheorieswhichdescribein-trinsicallylight-likebranesforanyoddworld-volumedimension,hencetheacronymWILL-branes(Weyl-InvariantLight-Likebranes).WediscussinsomedetailthepropertiesofWILL-branedy-namicswhichsigni cantlydi ersfromordinaryNambu-Gotobranedynamics.WeprovideexplicitsolutionsofWILL-membrane(i.e.,p=2)equationsofmotioninarbitraryD=4sphericallysym-metricstaticgravitationalbackgrounds,aswellasinproductspacesofinterestinKaluza-Kleincontext.Inthe rstcasewe ndthattheWILL-membranematerializestheeventhorizonofthecorrespondingblackholesolutions,thusprovidinganexplicitdynamicalrealizationofthemembraneparadigminblackholephysics.Inthesecond“Kaluza-Klein”contextwe ndsolu-tionsdescribingWILL-braneswrappedaroundtheinternal(compact)dimensionsandmovingasawholewiththespeedoflightinthenon-compact(space-time)dimensions.Keywords:Weyl-conformalinvariantp-braneactions,light-likep-branes,non-Riemannianvolumeforms,variablestring/branetension,Kaluza-Klein,eventhorizons,membraneparadigm.

1Introduction

TheideaofreplacingthestandardRiemannianintegrationmeasure(Riemannianvolume-form)withanalternativenon-Riemannianvolume-formor,moregenerally,employingonequalfootingbothRieman-nianandnon-Riemannianvolume-formstoconstructnewclassesofmodelsinvolvinggravity,calledtwo-measuretheories,hasbeenproposedfewyearsago[1]andsincethenitisasubjectofactiveresearchanddevelopments[2](forrelatedideas,see[3]).

Two-measuretheoriesaddressvariousbasicproblemsincosmologyandparticlephysics,andprovideplausiblesolutionsforabroadarrayofissues,suchas:scaleinvarianceanditsdynamicalbreakdown;spontaneousgenerationofdimensionfullfundamentalscales;thecosmologicalconstantproblem;theproblemoffermionicfamilies;applicationsinmodernbrane-worldscenarios.Foradetaileddiscussionwerefertotheseriesofpapers[1,2].

Subsequently,theideaofemployinganalternativenon-Riemannianintegrationmeasurewasappliedsystematicallytostring,p-braneandDp-branemodels[4](forabackgroundonstringandbranetheories,seerefs.[5]).Themainfeatureofthesenewclassesofmodi edstring/branetheoriesistheappearanceofthepertinentstring/branetensionasanadditionaldynamicaldegreeoffreedombeyondtheusualstring/branephysicaldegreesoffreedom,insteadofbeingintroducedadhocasadimensionfullscale.Thedynamicalstring/branetensionacquiresthephysicalmeaningofaworld-sheetelectric eldstrength(inthestringcase)orworld-volumep+1-form eldstrength(inthep-branecase)andobeysMaxwell(Yang-Mills)equationsofmotionortheirhigher-rankantisymmetrictensorgauge

1