Toric Sasaki–Einstein manifolds and Heun equations

作者: Takeshi Oota , Yukinori Yasui

DOI: 10.1016/J.NUCLPHYSB.2006.03.003

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摘要: Abstract Symplectic potentials are presented for a wide class of five-dimensional toric Sasaki–Einstein manifolds, including L , b c which was recently constructed by Cvetic et al. The spectrum the scalar Laplacian on is also studied. eigenvalue problem leads to two Heun's differential equations and exponents at regular singularities directly related data. By combining knowledge explicit symplectic potential exponents, we show that ground states, or equivalently holomorphic functions, have one-to-one correspondence with integral lattice points in convex polyhedral cone. scaling dimensions functions simply given products Reeb vector vectors, consistent R -charges BPS states dual quiver gauge theories.

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