English

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

High Energy Physics - Theory 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9908175,
  title  = {Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence},
  author = {Neil R. Constable and Robert C. Myers},
  journal= {arXiv preprint arXiv:hep-th/9908175},
  year   = {2009}
}

Comments

25 pages, 3 figures