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Rigor with machine learning from field theory to the Poincaré conjecture

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  1. Article

    Open Access

    Electric-magnetic duality in a class of G2-compactifications of M-theory

    We study electric-magnetic duality in compactifications of M-theory on twisted connected sum (TCS) G2 manifolds via duality with F-theory. Specifically, we study the physics of the D3-branes in F-theory compactif...

    James Halverson, Benjamin Sung, Jiahua Tian in Journal of High Energy Physics (2023)

  2. Article

    Open Access

    6D anomaly-free matter spectrum in F-theory on singular spaces

    In this paper we study the 6d localized charged matter spectrum of F-theory directly on a singular elliptic Calabi-Yau 3-fold, i.e. without smoothing via resolution or deformation of the entire fibration. Give...

    Antonella Grassi, James Halverson, Cody Long in Journal of High Energy Physics (2022)

  3. Article

    Open Access

    Gravitational waves from dark Yang-Mills sectors

    Dark Yang-Mills sectors, which are ubiquitous in the string landscape, may be reheated above their critical temperature and subsequently go through a confining first-order phase transition that produces stocha...

    James Halverson, Cody Long, Anindita Maiti, Brent Nelson in Journal of High Energy Physics (2021)

  4. Article

    Open Access

    Branes with brains: exploring string vacua with deep reinforcement learning

    We propose deep reinforcement learning as a model-free method for exploring the landscape of string vacua. As a concrete application, we utilize an artificial intelligence agent known as an asynchronous advant...

    James Halverson, Brent Nelson, Fabian Ruehle in Journal of High Energy Physics (2019)

  5. Article

    Open Access

    Estimating Calabi-Yau hypersurface and triangulation counts with equation learners

    We provide the first estimate of the number of fine, regular, star triangulations of the four-dimensional reflexive polytopes, as classified by Kreuzer and Skarke (KS). This provides an upper bound on the numb...

    Ross Altman, Jonathan Carifio, James Halverson in Journal of High Energy Physics (2019)

  6. Article

    Open Access

    Non-simply-laced symmetry algebras in F-theory on singular spaces

    We demonstrate how non-simply-laced gauge and flavor symmetries arise in F-theory on spaces with non-isolated singularities. The breaking from a simply-laced symmetry to one that is non-simply-laced is induced...

    Antonella Grassi, James Halverson, Cody Long in Journal of High Energy Physics (2018)

  7. Article

    Open Access

    Infinitely many M2-instanton corrections to M-theory on G2-manifolds

    We consider the non-perturbative superpotential for a class of four-dimensional N = ...

    Andreas P. Braun, Michele Del Zotto, James Halverson in Journal of High Energy Physics (2018)

  8. Article

    Open Access

    On the scarcity of weak coupling in the string landscape

    We study the geometric requirements on a threefold base for the corresponding F-theory compactification to admit a weakly-coupled type IIB limit. We examine both the standard Sen limit and a more restrictive l...

    James Halverson, Cody Long, Benjamin Sung in Journal of High Energy Physics (2018)

  9. Article

    Open Access

    Machine learning in the string landscape

    We utilize machine learning to study the string landscape. Deep data dives and conjecture generation are proposed as useful frameworks for utilizing machine learning in the landscape, and examples of each are ...

    Jonathan Carifio, James Halverson, Dmitri Krioukov in Journal of High Energy Physics (2017)

  10. Article

    Open Access

    Dualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states

    We study D3-brane theories that are dually described as deformations of two different N ...

    Antonella Grassi, James Halverson, Fabian Ruehle in Journal of High Energy Physics (2017)

  11. Article

    Open Access

    On gauge enhancement and singular limits in G 2 compactifications of M-theory

    We study the physics of singular limits of G 2 compactifications of M-theory, which are necessary to obtain a compactification with non-abelian gauge symmetry or massless charged p...

    James Halverson, David R. Morrison in Journal of High Energy Physics (2016)

  12. Article

    Open Access

    \( {\mathrm{\mathbb{P}}}^1 \) -bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models

    We explore a large class of F-theory compactifications to four dimensions. We find evidence that gauge groups that cannot be Higgsed without breaking supersymmetry, often accompanied by associated matter field...

    James Halverson, Washington Taylor in Journal of High Energy Physics (2015)

  13. Article

    Open Access

    The landscape of M-theory compactifications on seven-manifolds with G2 holonomy

    We study the physics of globally consistent four-dimensional N ...

    James Halverson, David R. Morrison in Journal of High Energy Physics (2015)

  14. Article

    Open Access

    Non-Higgsable QCD and the standard model spectrum in F-theory

    Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These “non-Higgsable clusters” include realizations o...

    Antonella Grassi, James Halverson, Julius Shaneson in Journal of High Energy Physics (2015)

  15. Article

    Open Access

    On finiteness of type IIB compactifications: magnetized branes on elliptic Calabi-Yau threefolds

    The string landscape satisfies interesting finiteness properties imposed by supersymmetry and string-theoretical consistency conditions. We study ...

    Mirjam Cvetič, James Halverson, Denis Klevers, Peng Song in Journal of High Energy Physics (2014)

  16. Article

    Open Access

    Global F-theory models: instantons and gauge dynamics

    We present and analyze in detail a compact F-theory GUT model in which D-brane instantons generate the top Yukawa coupling non-perturbatively. We elucidate certain aspects of F-theory gauge dynamics which are ...

    Mirjam Cvetič, Iñaki García-Etxebarria, James Halverson in Journal of High Energy Physics (2011)

  17. Article

    Open Access

    Singlet extensions of the MSSM in the quiver landscape

    We map out possible extensions of the MSSM in the context of type II string theory. We systematically investigate three-stack and four-stack quivers which realize the MSSM spectrum with the addition of a singl...

    Mirjam Cvetič, James Halverson, Paul Langacker in Journal of High Energy Physics (2010)