Dying dyons don't count
By Miranda C. N. Cheng, Erik P. Verlinde. 2007
143 citations recorded by the source corpus.
The dyonic 1/4-BPS states in 4D string theory with = 4 spacetime supersymmetry are counted by a Siegel modular form. The pole structure of the modular form leads to a contour dependence in the counting formula obscuring its duality invariance. We exhibit the relation between this ambiguity and the (dis-)appearance of bound states of 1/2-BPS configurations. Using this insight we propose a precise moduli-dependent contour prescription for the counting formula. We then show that the degeneracies are duality-invariant and are correctly adjusted at the walls of marginal stability to account for the (dis-)appearance of the two-centered bound states. Especially, for large black holes none of these bound states exists at the attractor point and none of these ambiguous poles contributes to the counting formula. Using this fact we also propose a second, moduli-independent contour which counts the ``immortal dyons" that are stable everywhere.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/8828981ad6e5b92a2a123beb68859319e5017dde
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Arithmetic of quantum entropy function (2009, methodology): “Since the result for the index depends on the domain in which the asymptotic values of the moduli field lie [38,6,39,40], (6.”
- Umbral Moonshine (2012, background): “The relation between the zeros of Φ((2)) and the wall-crossing phenomenon in this theory has been studied in [124, 125, 126, 127] and this relation leads to a connection between the counting of BPS black hole states in string theory and mock modular forms [45].”
- Black hole entropy function, attractors and precision counting of microstates (2007, background): “This change precisely agrees with the result predicted from the exact degeneracy formula [154, 150].”