Mock Modularity Of Twisted Index In CHL Models

2025/05/22 by Banerjee, Nabamita, Bhutra, Vedant, Singh, Ranveer Kumar · 1 citation
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Number Theory (math.NT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2505.17182

Abstract

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 = 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.

Citations

• The Immortal Dyon Index Is Positive
• Much ado about Mathieu
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• On the positivity of black hole degeneracies in string theory
• Mathieu Moonshine and Orbifold K3s
• K3 Surfaces, N=4 Dyons, and the Mathieu Group M24
• Microscopic Origin of the Bekenstein-Hawking Entropy

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