37 citations · 166 across the 14 of their papers we have counts for
14 papers
FTheoryTools: Advancing Computational Capabilities for F-Theory Research
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner
A primary goal of string phenomenology is to identify realistic four-dimensional physics within the landscape of string theory solutions. In F-theory, such solutions are encoded in…
Improved statistics for F-theory standard models
Martin Bies, Mirjam Cvetič, Ron Donagi +1
Much of the analysis of F-theory-based Standard Models boils down to computing cohomologies of line bundles on matter curves. By varying parameters one can degenerate such matter c…
Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification (String Math 2022 Proceedings)
Meng-Chwan Tan
This is a concise version of the original article in [arXiv:2203.17115] that will be published in the String Math 2022 Proceedings by the American Mathematical Society.
Root bundles: Applications to F-theory Standard Models
Martin Bies
The study of vector-like spectra in 4-dimensional F-theory compactifications involves root bundles, which are important for understanding the Quadrillion F-theory Standard Models (…
Toric Geometry in OSCAR
Martin Bies, Lars Kastner
We report on the computer implementation for toric geometry in the computer algebra system . The main architectural feature of is that its four fun…
Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models
Martin Bies, Mirjam Cvetič, Ron Donagi +1
Root bundles appear prominently in studies of vector-like spectra of 4d F-theory compactifications. Of particular importance to phenomenology are the Quadrillion F-theory Standard…