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Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift

Atish Dabholkar·Suresh Nampuri
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Abstract

The degeneracies of supersymmetric quarter BPS dyons in four dimensions and of spinning black holes in five dimensions in a CHL compactification are computed exactly using Borcherds lift. The Hodge anomaly in the construction has a physical interpretation as the contribution of a single M-theory Kaluza-Klein 6-brane in the 4d-5d lift. Using factorization, it is shown that the resulting formula has a natural interpretation as a two-loop partition function of left-moving heterotic string, consistent with the heuristic picture of dyons in the M-theory lift of string webs.

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Atish Dabholkar, Suresh Nampuri. 2007-10-01. Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F077

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