The statistics of supersymmetric D-brane models

By Ralph Blumenhagen, F. Gmeiner, G. Honecker, D. Lust, T. Weigand. 2004

154 citations recorded by the source corpus.

Abstract We investigate the statistics of the phenomenologically important D-brane sector of string compactifications. In particular for the class of intersecting D-brane models, we generalise methods known from number theory to determine the asymptotic statistical distribution of solutions to the tadpole cancellation conditions. Our approach allows us to compute the statistical distribution of gauge theoretic observables like the rank of the gauge group, the number of chiral generations or the probability of an SU ( N ) gauge factor. Concretely, we study the statistics of intersecting branes on T 2 and T 4 / Z 2 and T 6 / Z 2 × Z 2 orientifolds. Intriguingly, we find a statistical correlation between the rank of the gauge group and the number of chiral generations. Finally, we combine the statistics of the gauge theory sector with the statistics of the flux sector and study how distributions of gauge theoretic quantities are affected.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4f035c4b92abe23b69393b6541b4a6dde13ddbc9

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

Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “After solving the supersymmetry constraints, in all the examples discussed in [555], this was given by a subset S of the naively allowed wrapping numbers XI .”
Predictive Landscapes and New Physics at a TeV (2005, background): “Another are statistical arguments [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]—looking for features or correlations that are statistically favored in the landscape.”
Systematics of moduli stabilisation in Calabi-Yau flux compactifications (2005, result): “These analytic results have been successfully compared with numerical studies of moduli stabilisation using Monte Carlo simulations to generate fluxes [13, 14], and the statistical approach has been extended to other questions [15, 16].”
TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, background): “It was proposed that complementary to a model by model search, one could study the statistical distribution of string theory vacua [231] (see [232] for a statistical analysis of intersecting D-branes) to obtain an estimate of the chances of finding a realistic model and maybe in which region of the ”
Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking (2005, background): “This has been carried out in several articles [11, 22, 23] (see also [24, 25]).”
Distributions of nonsupersymmetric flux vacua (2004, background): “Some more recent works on vacuum statistics and related topics include [10, 14, 21, 31, 7].”
Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, background): “In particular, it remains for future work to investigate possible consequences on the statistical distribution of supersymmetric brane vacua in the type IIA geometric regime [39,61,62] or at the small radius Gepner point [63, 64].”
Chiral D-brane Models with Frozen Open String Moduli (2005, methodology): “Complementary to searching for more realistic vacua, one could also perform a statistical analysis of the set of solutions to the tadpole cancellation conditions, in the same spirit as in [108].”
One in a Billion: MSSM-like D-Brane Statistics (2005, methodology): “Moreover, in [27] we had not taken the additional K-theory constraints [41] into account.”
Flux compactifications in string theory: A Comprehensive review (2005, unknown): “[209] for some explicit D-brane models statistics).”
Loop-corrected compactifications of the heterotic string with line bundles (2005, background): “Last but not least, these heterotic string vacua constitute an additional branch in the string theory landscape and one might try to invoke statistical methods to get estimates on the distributions of various physical quantities in the gauge theory sector [69–72].”