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Email: kiharaOsci.osaka-cu.ac.jp Yp,q 1 Kihara We study the spectrum of the scalar Laplacian on the five-dimensional toric Sasaki-Eiiistein manifblds YP'q, which is topologically S2 × S3. The eigenvalue equation reduces to Heun's equation, which is a Fbchsian equation with four regular singularities. "le show that the ground states, which are given by constant solutions of Heun7s equation, are identified with BPS states correspondingdoi:10.24532/soken.112.4_d38 fatcat:jthaknjfujfldfbyac2aylm66i