Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence

Details Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence

1999-08-27

arxiv.org/abs/hep-th/9908175v1

JHEP 9910 (1999) 037

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 3 figures

Scientific paper

10.1088/1126-6708/1999/10/037

We determine the spectrum of graviton excitations in the background geometry of the AdS soliton in p+2 dimensions. Via the AdS/CFT correspondence this corresponds to determining the spectrum of spin two excitations in the dual effective p-dimensional field theories For the cases of D3- and M5-branes these are the spin two glueballs of QCD_3 and QCD_4 respectively. For all values of p we find an exact degeneracy of the spectra of these tensor states and certain scalar excitations. Our results also extend the perturbative proof of a positive energy conjecture for asymptotically locally AdS spacetimes (originally proposed for p=3) to an arbritrary number of dimensions.

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