Analysis reveals microstate degeneracy for black holes in CHL models, suggesting connections to mock Jacobi forms.
A bstract We study the twisted partition function of quarter BPS states in CHL models and show that for a large class of single-centered black holes, the degeneracy of microstates is given by the Fourier coefficients of mock Jacobi forms. Our analysis is a continuation of the programme initiated by Dabholkar, Murthy and Zagier (DMZ) for 1/4-BPS dyons in N N = 4 string theory and further extended by Bhand, Sen and Singh (BSS) to quarter BPS states in CHL models. We also present the multiplicative lift construction of the partition function and comment on the additive lift of the same.
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Banerjee et al. (2025) studied this question.
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