Recounting Dyons in N=4 String Theory
By David Shih, Andrew Strominger, Xi Yin. 2005
176 citations recorded by the source corpus.
A recently discovered relation between 4D and 5D black holes is used to derive weighted BPS black hole degeneracies for 4D N=4 string theory from the well-known 5D degeneracies. They are found to be given by the Fourier coefficients of the unique weight 10 automorphic form of the modular group Sp(2,Z). This result agrees exactly with a conjecture made some years ago by Dijkgraaf, Verlinde and Verlinde.
Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7201e144dbb9b17a75a9fb3bddae433cf7675ac9
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In Geometry and Topology
In Mathematical Physics
In Nuclear and High Energy Physics
Citations in the corpus
- Lectures on black holes, topological strings and quantum attractors (2006, methodology): “A recent “proof” of the DVV conjecture has recently been given by lifting 4D black holes with unit D6-brane charge to 5D, and using the Strominger-Vafa relation between degeneracies of 5D black hole and the elliptic genus of Hilb(K3) [ 32 ].”
- Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “Various alternative approaches to proving these formulæ have been explored in [13, 14, 15, 16, 17].”
- Product representation of dyon partition function in CHL models (2006, background): “There exists a proposal for the exact degeneracy of dyons in toroidally compactified heterotic string theory[1, 2, 3, 4, 5] and also in toroidally compactified type II string theory[6].”