A New infinite class of Sasaki-Einstein manifolds

By J. Gauntlett, D. Martelli, J. Sparks, D. Waldram. 2004

295 citations recorded by the source corpus.

We show that for every positive curvature Kahler-Einstein manifold in dimension 2n there is a countably infinite class of associated Sasaki-Einstein manifolds X_{2n+3} in dimension 2n+3. When n=1 we recover a recently discovered family of supersymmetric AdS_5 x X_5 solutions of type IIB string theory, while when n=2 we obtain new supersymmetric AdS_4 x X_7 solutions of D=11 supergravity. Both are expected to provide new supergravity duals of superconformal field theories.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/da463b1e8886838a243ff7fd36bc473abd68fa7b

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In Applied Mathematics

In Geometry and Topology

In Nuclear and High Energy Physics

Citations in the corpus

A universal counting of black hole microstates in AdS4 (2017, methodology): “Note that setting b = 0 and using the results in [71] amounts to limiting the discussion to the Sasaki-Einstein manifolds Q(1,1,1) and M(1,1,1), and orbifolds thereof.”
Canonical Sasakian Metrics (2006, unknown): “D G ] 1 3 M ar”
Toric Geometry, Sasaki–Einstein Manifolds and a New Infinite Class of AdS/CFT Duals (2004, background): “As a final point, we note that in [15] a generalisation of the metrics Y to all dimensions was presented (see also references [16] and [17] for a generalisation of this generalisation).”
An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals (2004, background): “First let us note that the construction of the Sasaki–Einstein metrics in [18] was immediately generalised to all (odd) dimensions in [36].”
Fractional branes and dynamical supersymmetry breaking (2005, background): “The Y p,q family Recently an infinite class of Sasaki-Einstein 5d metrics on S(2) × S(3) has been constructed, denoted Y , which can be used to build an infinite class of 6d conical Calabi-Yau geometries [45, 46, 47, 48, 49].”
From Sasaki-Einstein spaces to quivers via BPS geodesics: Lp,q|r (2005, background): “[11, 12, 13] found an infinite set of Sasaki-Einstein metrics on S(2) × S(3), called Yp,q.”
Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, background): “Over the last few years a number of authors have discovered an infinite number of generalizations of the AdS/CFT conjecture [65, 66, 67, 68, 69, 70, 71, 72, 73].”
Toric Sasaki-Einstein metrics on S2 × S3 (2004, background): “The construction of [2] was immediately generalised to higher dimension in reference [5] and a further generalisation subsequently appeared in [6,7].”
Sasaki–Einstein Manifolds and Volume Minimisation (2006, background): “The status of Sasaki–Einstein geometry changed considerably with the construction of explicit infinite families of inhomogeneous Sasaki–Einstein metrics in all dimensions [9, 10, 11].”
Supersymmetric AdS3, AdS2 and bubble solutions (2006, background): “We will simply assume that it is locally the product of a set of two-dimensional Kähler–Einstein metrics ds22n+2 = n+1 ∑ i=1 ds2(KE (i) 2 ) (6.1) where ds2(KE (i) 2 ) is a two-dimensional Kähler-Einstein metric, i.e. locally proportional to the standard metric on S2, T 2 or H2.”
Maximally homogeneous para-CR manifolds of semisimple type (2006, unknown): “folds constructed in [BGN03, BGN02, BG03, Kol07, Kol05, GMSW04b, GMSW04a , CLPP05, FOW06, CFO07].”
Towards strange metallic holography (2009, methodology): “More generally, we could consider baryons in M theory on a spectrum of different manifolds such as Q(1, 1, 1) and Yp,k [67].”