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Elliptic genera from multi-centers
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DOI：10.1007/JHEP05(2016)076.png)
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Abstract
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show how elliptic genera for various Calabi-Yau threefolds may be understood from supergravity localization using the quantization of the phase space of certain multicenter configurations. I present a simple procedure that allows for the enumeration of all multi-center configurations contributing to the polar sector of the elliptic genera explicitly verifying this in the cases of the quintic in P-4, the sextic in WP(2,1,1,1,1), the octic in WIP(4,1,1,1,1) and the dectic in WP(5,2,1,1,1). With an input of the corresponding 'single-center' indices (Donaldson-Thomas invariants), the polar terms have been known to determine the elliptic genera completely. I argue that this multi -center approach to the low-lying spectrum of the elliptic genera is a stepping stone towards an understanding of the exact microscopic states that contribute to supersymmetric single center black hole entropy in N = 2 supergravity.
Keywords:
Black Holes in String Theory
D-branes
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