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We address the issue of glueball masses in a holographic dual field theory onthe boundary of an AdS space deformed by a four-dimensional cosmologicalconstant. These glueballs are related to scalar and tensorial fluctuations ofthe bulk fields on this space. In the Euclidean AdS4 case the allowed massesare discretized and are related to distinct inflaton masses on a 3-brane withseveral states of inflation. We then obtain the e-folds number in terms of theglueball masses. In the last part we focus on the Lorentzian dS4 case to focuson the QCD equation of state in dual field theory.

Glueballs Mass Spectrum in an Inflationary Braneworld Scenario