Free Fermionic Heterotic Model Building and Root Systems

Abstract

We consider an alternative derivation of the GSO Projection in the free fermionic construction of the weakly coupled heterotic string in terms of root systems, as well as the interpretation of the GSO Projection in this picture. We then present an algorithm to systematically and efficiently generate input sets (i.e. basis vectors) in order to study Landscape statistics with minimal computational cost. For example, the improvement at order 6 is approximately 10^{-13} over a traditional brute force approach, and improvement increases with order. We then consider an example of statistics on a relatively simple class of models.

Standard Latex, 12 pages

References in corpus (8)

• Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• On orbifolds and free fermion constructions
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• Statistical Predictions From Anarchic Field Theory Landscapes
• Is SUSY Natural?
• Phenomenology from the Landscape of String Vacua

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• Systematic Investigations of the Free Fermionic Heterotic String Gauge Group Statistics: Layer 1 Results
• Redundancies in Explicitly Constructed Ten Dimensional Heterotic String Models
• Grover's Quantum Search Algorithm and Free Fermionic Heterotic Models