M-theory on G_2 manifolds and the method of (p,q) brane webs

(2)Forwi=1,werecoverthesimplemodelwithgaugegroupU(n)3andmattertriplicationineachbifundamental[20,21].

(3)Forn=1,thecorrespondinggaugetheoryisnowquitesimilartotheinterpretationofM-theoryonG2manifoldsgivenin[25].Inthisway,thegaugegroupreads

G=3

i=1U(wi).(4.8)

Intheinfra-redlimittheU(1)factorsdecoupleandoneisleftwiththegaugesymmetry

G=3

i=1SU(wi).(4.9)

Takinganappropriatechoiceofweights,werecoverthephysicalmodelgivenin[25].

(4)Thecorresponding eldmodelsisrepresentedbyatrianglequiverdiagram

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