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• W3121805174 abstract "A bstract We study three properties of 1/4 BPS dyons at small charges in string compactifications which preserve $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 supersymmetry. We evaluate the non-trivial constant present in the one loop statistical entropy for $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 compactifications of type IIB theory on K 3 × T 2 orbifolded by an order ℤ N freely acting orbifold g ′ including all CHL compactifications. This constant is trivial for the un-orbifolded model but we show that it contributes crucially to the entropy of low charge dyons in all the orbifold models. We then show that the meromorphic Jacobi form which captures the degeneracy of 1/4 BPS states for the first two non-trivial magnetic charges can be decomposed into an Appell-Lerch sum and a mock Jacobi form transforming under Γ 0 ( N ). This generalizes the earlier observation of Dabholkar-Murthy-Zagier to the orbifold models. Finally we study the sign of the Fourier coefficients of the inverse Siegel modular form which counts the index of 1/4 BPS dyons in $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 models obtained by freely acting ℤ 2 and ℤ 3 orbifolds of type II theory compactified on T 6 . We show that sign of the index for sufficiently low charges and ensuring that it counts single centered black holes, violates the positivity conjecture of Sen which indicates that these states posses non-trivial hair." @default.
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• W3121805174 date "2019-05-01" @default.
• W3121805174 modified "2023-10-17" @default.
• W3121805174 title "Properties of dyons in $$ mathcal{N} $$ = 4 theories at small charges" @default.
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• W3121805174 doi "https://doi.org/10.1007/jhep05(2019)005" @default.
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