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Dyonic black hole degeneracies in $$ \mathcal{N} $$ = 4 string theory from Dabholkar-Harvey degeneracies

Dyonic black hole degeneracies in $$ \mathcal{N} $$ = 4 string theory from Dabholkar-Harvey degeneracies

A bstract The degeneracies of single-centered dyonic $$ \frac{1}{4} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>4</mml:mn> </mml:mfrac> </mml:math> -BPS black holes (BH) in Type II string theory on K3 ×T 2 are known to be coefficients of certain mock Jacobi forms arising from the Igusa cusp form Φ 10 . In …