Freedom and Constraints in the K3 Landscape

Abstract

We consider "magnetized brane" compactifications of the type I/heterotic string on K3 with U(1) background fluxes. The nonabelian gauge group and matter content of the resulting six-dimensional vacua are parameterized by a matrix encoding a lattice contained within the even, self-dual lattice Gamma^{3,19}. Mathematical results of Nikulin on lattice embeddings make possible a simple classification of such solutions. This approach makes it possible to explicitly and efficiently construct models in this class with a particular allowed gauge group and matter content, so that one can immediately "dial-a-model" with desired properties.

v4: fixed factor of two in tadpole, included effect of Freed-Witten anomaly; general characterization of results relatively unchanged but results of some computations corrected substantially

References in corpus (13)

• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Progress in D-brane model building
• Physics of String Flux Compactifications
• Computational complexity of the landscape I
• The landscape of intersecting brane models
• Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Massive U(1)s and Heterotic Five-Branes on K3
• Comments on Orientifolds without Vector Structure
• LHC String Phenomenology

Cited by in corpus (9)

• Global aspects of the space of 6D N = 1 supergravities
• Mapping 6D N = 1 supergravities to F-theory
• A bound on 6D N=1 supergravities
• Branes, U-folds and hyperelliptic fibrations
• Weierstrass meets Enriques
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• Diversity in the Tail of the Intersecting Brane Landscape
• Populating the swampland: the case of U(1)^496 and E_8 x U(1)^248
• Intersecting brane models and F-theory in six dimensions