On the dyon partition function in N=2 theories

Abstract

We study the entropy function of two N =2 string compactifications obtained as freely acting orbifolds of N=4 theories : the STU model and the FHSV model. The Gauss-Bonnet term for these compactifications is known precisely. We apply the entropy function formalism including the contribution of this four derivative term and evaluate the entropy of dyons to the first subleading order in charges for these models. We then propose a partition function involving the product of three Siegel modular forms of weight zero which reproduces the degeneracy of dyonic black holes in the STU model to the first subleading order in charges. The proposal is invariant under all the duality symmetries of the STU model. For the FHSV model we write down an approximate partition function involving a Siegel modular form of weight four which captures the entropy of dyons in the FHSV model in the limit when electric charges are much larger than magnetic charges.

48 pages

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Cited by in corpus (16)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• N=8 Dyon Partition Function and Walls of Marginal Stability
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• A Twist in the Dyon Partition Function
• Enriques and Octonionic Magic Supergravity Models
• The mixed black hole partition function for the STU model
• On walls of marginal stability in N=2 string theories
• On Quantum Special Kaehler Geometry
• An approach to BPS black hole microstate counting in an N=2 STU model
• Duality covariant variables for STU-model in presence of non-holomorphic corrections