37 citations · 65 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
Statistics of Limit Root Bundles Relevant for Exact Matter Spectra of F-Theory MSSMs
Martin Bies, Mirjam Cvetič, Muyang Liu
In the largest, currently known, class of one Quadrillion globally consistent F-theory Standard Models with gauge coupling unification and no chiral exotics, the vector-like spectr…
Root Bundles and Towards Exact Matter Spectra of F-theory MSSMs
Martin Bies, Mirjam Cvetič, Ron Donagi +2
Motivated by the appearance of fractional powers of line bundles in studies of vector-like spectra in 4d F-theory compactifications, we analyze the structure and origin of these bu…
Algebraic Cycles and Local Anomalies in F-Theory
Martin Bies, Christoph Mayrhofer, Timo Weigand
We introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory…
Gauge Backgrounds and Zero-Mode Counting in F-Theory
Martin Bies, Christoph Mayrhofer, Timo Weigand
Computing the exact spectrum of charged massless matter is a crucial step towards understanding the effective field theory describing F-theory vacua in four dimensions. In this wor…