Freedman-Townsend vertex from Hamiltonian BRST cohomology

Freedman-Townsend vertex from Hamiltonian BRST cohomology
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:hviXraFreedman-TownsendvertexfromHamiltonianBRSTcohomologyC.Bizdadea∗,E.M.Cioroianu,S.O.Saliu†DepartmentofPhysics,UniversityofCraiova13A.I.CuzaStr.,CraiovaRO-1100,RomaniaFebruary1,2008AbstractConsistentinteractionsamongasetoftwo-formgaugefieldsinfourdimensionsarederivedalongaHamiltoniancohomologicalpro-cedure.ItisshownthatthedeformationoftheBRSTchargeandBRST-invariantHamiltonianforthefreemodelleadstotheFreedman-Townsendinteractionvertex.Theresultinginteractiondeformsboththegaugetransformationsandreducibilityrelations,butnottheal-gebraofgaugetransformations.PACSnumber:11.10.Ef

1Introduction

Thecohomologicalunderstandingoftheantifield-BRSTsymmetrywasprovedtobeausefultoolforconstructingconsistentinteractionsingaugetheories[3]–[6].Amongthemodelsofgreatinterestintheoreticalphysicsthathavebeeninferredalongthedeformationofthemasterequation,wementiontheYang-Millstheory[7],theFreedman-TownsendmodelandtheChapline-MantonmodelAlso,itisimportanttonoticethe

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