کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1844559 1645182 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Toric Sasaki-Einstein manifolds and Heun equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Toric Sasaki-Einstein manifolds and Heun equations
چکیده انگلیسی
Symplectic potentials are presented for a wide class of five-dimensional toric Sasaki-Einstein manifolds, including La,b,c which was recently constructed by Cvetič et al. The spectrum of the scalar Laplacian on La,b,c is also studied. The eigenvalue problem leads to two Heun's differential equations and the exponents at regular singularities are directly related to the toric data. By combining knowledge of the explicit symplectic potential and the exponents, we show that the ground states, or equivalently holomorphic functions, have one-to-one correspondence with the integral lattice points in the convex polyhedral cone. The scaling dimensions of the holomorphic functions are simply given by the scalar products of the Reeb vector and the integral vectors, which are consistent with R-charges of the BPS states in the dual quiver gauge theories.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 742, Issues 1–3, 15 May 2006, Pages 275-294
نویسندگان
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