Dyon spectrum in CHL models

By Dileep P. Jatkar, Ashoke Sen. 2005

194 citations recorded by the source corpus.

We propose a formula for the degeneracy of quarter BPS dyons in a class of CHL models. The formula uses a modular form of a subgroup of the genus two modular group Sp(2, Z). Our proposal is S-duality invariant and reproduces correctly the entropy of a dyonic black hole to first non-leading order for large values of the charges.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/080c0218872499085b8b5bd588ad66977c87e2f8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “The result for the N = 4 theory can be found in [12, 13, 15] and that for N = 8 theory can be found in [56].”
Product representation of dyon partition function in CHL models (2006, methodology): “The values of N considered in [7] were N =2,3,5,7.”
Note on twisted elliptic genus of K3 surface (2010, background): “Sen and his collaborators [5, 16] (also [15]) in connection with the counting problem of 1 4 BPS monopoles and dyons.”
Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions (2007, methodology): “Is it possible to engineer I-brane configurations which would support all those kinds of fermions and Lie groups? On the other hand, we might consider further examples of target space curves, either using orbifold techniques and making contact with vast literature on CHL orbifolds [84, 85], or by co”
Quantum Entropy Function from AdS(2)/CFT(1) Correspondence (2008, background): “Technically, counting of dmicro is a challenging problem, although this has now been achieved for a class of black holes in N = 4 supersymmetric string theories [2, 3, 4, 5].”
Lectures on black holes, topological strings and quantum attractors (2006, unknown): “The conjecture has also been generalized to other N = 4 “CHL” models with different values of nv in (2.21) [ 33 , 34, 35].”
Black hole partition functions and duality (2006, methodology): “Examples of these microscopic degeneracies are provided by heterotic string theory compactified on a six-torus and by the class of heterotic CHL models [53].”
Dying dyons don't count (2007, unknown): “Recently, a similar counting formula was proposed for a class of more general N = 4, D = 4 theories [9], known as the CHL models [10].”
Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “The original formula for the degeneracy was first proposed in [9] for the special case of heterotic string theory compactified on T (6), and extended to more general models in [10,11,12].”
Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions (2011, methodology): “5.1 Expression for the index in type IIB on K3× S1/ ZZN . . . . . . . . . . . . . . 28 5.2 Evaluation of the index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .”