Year: 2016
Type: article
Abstract: I show how elliptic genera for various Calabi-Yau threefolds may be understood from supergravity localization using the quantization of the phase space of certain multi-center 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 $$ \mathrm{\mathbb{P}} $$ 4, the sextic in $$ \mathbb{W}\mathrm{\mathbb{P}} $$ (2,1,1,1,1), the octic in $$ \mathbb{W}\mathrm{\mathbb{P}} $$ (4,1,1,1,1) and the dectic in $$ \mathbb{W}\mathrm{\mathbb{P}} $$ (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 $$ \mathcal{N} $$ = 2 supergravity.
Source: Journal of High Energy Physics
Author: Nava Gaddam
Institution: Utrecht University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G7730083700
OpenAlex ID: W2296379646