New Einstein-Sasaki spaces in five and higher dimensions. Academic Article uri icon

abstract

  • We obtain infinite classes of new Einstein-Sasaki metrics on complete and nonsingular manifolds. They arise, after Euclideanization, from BPS limits of the rotating Kerr-de Sitter black hole metrics. The new Einstein-Sasaki spaces L(p,q,r) in five dimensions have cohomogeneity 2 and U(1) x U(1) x U(1) isometry group. They are topologically S(2) x S(3). Their AdS/CFT duals describe quiver theories on the four-dimensional boundary of AdS(5). We also obtain new Einstein-Sasaki spaces of cohomogeneity n in all odd dimensions D = 2n + 1 > or = 5, with U(1)(n + 1) isometry.

published proceedings

  • Phys Rev Lett

author list (cited authors)

  • Cvetic, M., Lü, H., Page, D. N., & Pope, C. N.

citation count

  • 175

complete list of authors

  • Cvetic, M||Lü, H||Page, Don N||Pope, CN

publication date

  • August 2005