Toric Sasaki-Einstein manifolds and Heun equations

DOI10.1016/j.nuclphysb.2006.03.003zbMath1214.53041arXivhep-th/0512124OpenAlexW1988117999MaRDI QIDQ879805

Yukinori Yasui, Takeshi Oota

Publication date: 10 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0512124

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (16)

The shortened KK spectrum of IIB supergravity on \(Y^{p,q}\) ⋮ Heun functions and some of their applications in physics ⋮ Superconformal symmetry in the Kaluza-Klein spectrum of warped \(\mathrm{AdS}(3)\) ⋮ Bounding the heat trace of a Calabi-Yau manifold ⋮ On the scalar spectrum of the \(Y^{p,q}\) manifolds ⋮ New example of infinite family of quiver gauge theories ⋮ Index for supergravity on \(\text{AdS}_{5}\times T^{1,1}\) and conifold gauge theory ⋮ On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces ⋮ Spin-2 spectrum of defect theories ⋮ On the superconformal index of \(\mathcal{N} = 1\) IR fixed points. A holographic check ⋮ Toric data, Killing forms and complete integrability of geodesics in Sasaki-Einstein spaces \(Y^{p,q}\) ⋮ M-theory and seven-dimensional inhomogeneous Sasaki-Einstein manifolds ⋮ Brane geometry and dimer models ⋮ Massless geodesics in \(\text{AdS}_5\times Y(p,q)\) as a superintegrable system ⋮ On perturbative instability of pope-warner solutions on Sasaki-Einstein manifolds ⋮ Comment on “Dirac equation in the background of the Nutku helicoid metric” [J. Math. Phys. 48, 092301 (2007)]

Cites Work

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• Toric Sasaki-Einstein metrics on \(S^2\times S^3\)
• Scalar Laplacian on Sasaki-Einstein manifolds \(Y^{p,q}\)
• Sasaki-Einstein twist of Kerr-AdS black holes
• Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals
• The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds
• Branes and toric geometry
• The exact superconformal \(R\)-symmetry maximizes \(a\)
• Superconformal field theory on threebranes at a Calabi-Yau singularity
• D-brane gauge theories from toric singularities and toric duality
• Kähler metrics on toric orbifolds.
• Non-spherical horizons. I
• Sasaki-Einstein metrics on \(S^2\times S^3\)
• Large \(N\) field theories, string theory and gravity
• A new infinite class of Sasaki-Einstein manifolds
• From toric geometry to quiver gauge theory: The equivalence of a‐maximization and Z‐minimization

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