# Scaling Black Holes and Modularity

@inproceedings{Chattopadhyaya2021ScalingBH, title={Scaling Black Holes and Modularity}, author={Aradhita Chattopadhyaya and J. F. M. Manschot and Swapnamay Mondal}, year={2021} }

Scaling black holes are solutions of supergravity with multiple black hole singularities, which can be adiabatically connected to a single center black hole solution. We develop techniques to determine partition functions for such scaling black holes, if each constituent carries a non-vanishing magnetic charge corresponding to a D4-brane in string theory, or equivalently M5-brane in M-theory. For three constituents, we demonstrate that the partition function is a mock modular form of depth two…

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On the existence of scaling multi-centered black holes

- Physics, Mathematics
- 2021

For suitable charges of the constituents, the phase space of multi-centered BPS black holes in N = 2 four-dimensional supergravity famously exhibits scaling regions where the distances between the…

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