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Quantum Black Holes, Wall Crossing, and Mock Modular Forms

We show that the meromorphic Jacobi form that counts the quarter-BPS states in N=4 string theories can be canonically decomposed as a sum of a mock Jacobi form and an Appell-Lerch sum. The quantum degeneracies of single-centered black holes are Fourier coefficients of this mock Jacobi form, while th...

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Detalles Bibliográficos
Autores principales: Dabholkar, Atish, Murthy, Sameer, Zagier, Don
Lenguaje:eng
Publicado: 2012
Materias:
Acceso en línea:http://cds.cern.ch/record/1473823