I'm going to present algorithms that explicitly generate a large number of topologically distinct smooth toric threefold bases used in 4D F-theory compactification. We found inherent patterns in these bases although they are seemingly random. I'll also talk about the characterization of these bases using local geometric data and non-Higgsable gauge group structure. Finally, I'm going to briefly mention our current understanding of non-toric base threefolds.Non UBCUnreviewedAuthor affiliation: MITGraduat
We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the i...
We construct four-dimensional, globally consistent F-theory models with three chiral generations, wh...
We study F-theory compactified on elliptic Calabi-Yau threefolds that are realised as hypersurfaces ...
Abstract Using a one-way Monte Carlo algorithm from several different starting points, we get an app...
Using a one-way Monte Carlo algorithm from several different starting points, we get an approximatio...
We explore a large class of F-theory compactifications to four dimensions. We find evidence that gau...
We use Monte Carlo methods to explore the set of toric threefold bases that support elliptic Calabi-...
We explore a large class of F-theory compactifications to four dimensions. We find evidence that gau...
We explore a large class of F-theory compactifications to four dimensions. We find evidence that gau...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2018.Cataloged from PD...
We develop a combinatorial approach to the construction of general smooth compact base surfaces that...
We develop a combinatorial approach to the construction of general smooth compact base surfaces that...
We develop a combinatorial approach to the construction of general smooth compact base surfaces that...
F-theory models are constructed where the 7-brane has a non-trivial funda-mental group. The base man...
We apply machine learning techniques to solve a specific classification problem in 4D F-theory. For ...
We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the i...
We construct four-dimensional, globally consistent F-theory models with three chiral generations, wh...
We study F-theory compactified on elliptic Calabi-Yau threefolds that are realised as hypersurfaces ...
Abstract Using a one-way Monte Carlo algorithm from several different starting points, we get an app...
Using a one-way Monte Carlo algorithm from several different starting points, we get an approximatio...
We explore a large class of F-theory compactifications to four dimensions. We find evidence that gau...
We use Monte Carlo methods to explore the set of toric threefold bases that support elliptic Calabi-...
We explore a large class of F-theory compactifications to four dimensions. We find evidence that gau...
We explore a large class of F-theory compactifications to four dimensions. We find evidence that gau...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2018.Cataloged from PD...
We develop a combinatorial approach to the construction of general smooth compact base surfaces that...
We develop a combinatorial approach to the construction of general smooth compact base surfaces that...
We develop a combinatorial approach to the construction of general smooth compact base surfaces that...
F-theory models are constructed where the 7-brane has a non-trivial funda-mental group. The base man...
We apply machine learning techniques to solve a specific classification problem in 4D F-theory. For ...
We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the i...
We construct four-dimensional, globally consistent F-theory models with three chiral generations, wh...
We study F-theory compactified on elliptic Calabi-Yau threefolds that are realised as hypersurfaces ...