Explanipedia

Non-measure hyperbolicity of K3 surfaces and Hilbert schemes of points on K3 surfaces Open

Gunhee Cho, David R. Morrison · 2025

We show that the non-measure hyperbolicity of K3 surfaces—which M. Green and P. Griffiths verified for certain cases in 1980—holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of all Hilbert schemes of points…

On the frozen F-theory landscape Open

David R. Morrison, Benjamin Sung · 2024

A bstract We study 6d $$\mathcal{N}$$ = (1, 0) supergravity theories arising in the frozen phase of F-theory. For each of the known global models, we construct an F-theory compactification in the unfrozen phase with an identical non-abelia…

On the Frozen F-theory Landscape Open

David R. Morrison, Benjamin Sung · 2023

We study $6$d $\mathcal{N} = (1,0)$ supergravity theories arising in the frozen phase of F-theory. For each of the known global models, we construct an F-theory compactification in the unfrozen phase with an identical non-abelian gauge alg…

Non-Measure Hyperbolicity of Complex K3 Surfaces Open

Gunhee Cho, David R. Morrison · 2023

We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verified for certain cases in 1980 -- holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of any Hilbert schemes of …

Exotic matter on singular divisors in F-theory Open

Denis Klevers, David R. Morrison, Nikhil Raghuram, Washington Taylor · 2023

We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-i…

Report on 2203.10022v2 Open

Max Hübner, David R. Morrison, Sakura Schäfer‐Nameki, Yi-Nan Wang · 2022

We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds.Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explic…

Report on 2203.10022v2 Open

Max Hübner, David R. Morrison, Sakura Schäfer‐Nameki, Yi-Nan Wang · 2022

We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds.Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explic…

Enumerative geometry of the mirror quintic Open

Sheldon Katz, David R. Morrison · 2022

We evaluate the enumerative invariants of low degree on the mirror quintic threefold.

Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations Open

Max Hübner, David R. Morrison, Sakura Schäfer‐Nameki, Yi-Nan Wang · 2022

We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the expli…

Charge completeness and the massless charge lattice in F-theory models of supergravity Open

David R. Morrison, Washington Taylor · 2021

Non-perturbative heterotic duals of M-theory on G2 orbifolds Open

B. S. Acharya, Alex Kinsella, David R. Morrison · 2021

A bstract By fibering the duality between the E 8 × E 8 heterotic string on T 3 and M-theory on K3, we study heterotic duals of M-theory compactified on G 2 orbifolds of the form T 7 / $$ {\mathbb{Z}}_2^3 $$ . While the heterotic comp…

6D SCFTs and gravity Open

Michele Del Zotto, Jonathan J. Heckman, David R. Morrison, Daniel S. Park · 2021

We study how to couple a 6D superconformal field theory (SCFT) to gravity. In F-theory, the models in question are obtained working on the supersymmetric background $ \mathbb{R} $ 5,1 × B where B is the base of a compact elliptically fib…

Geometry of 6D RG flows Open

Jonathan J. Heckman, David R. Morrison, Tom Rudelius, Cumrun Vafa · 2021

We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-Yau threefolds. There are two …

Higher-form symmetries in 5d Open

David R. Morrison, Sakura Schäfer‐Nameki, Brian Willett · 2020

A bstract We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and ’t Hooft operators. We outline criteria for the existence of higher-form symmetries both fro…

Erratum: F-theory and the classification of little strings [Phys. Rev. D <b>93</b>, 086002 (2016)] Open

Lakshya Bhardwaj, Michele Del Zotto, Jonathan J. Heckman, David R. Morrison, Tom Rudelius , et al. · 2019

Received 30 May 2019DOI:https://doi.org/10.1103/PhysRevD.100.029901© 2019 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasConformal field theoryHigher-dimensional field theoriesStrings & branesPropertiesSupersymmetry…

Mirror Symmetry and Partition Functions Open

Travis Maxfield, David R. Morrison, M. Ronen Plesser · 2019

Localization methods have produced explicit expressions for the sphere partition functions of (2,2) superconformal field theories. The mirror symmetry conjecture predicts an IR duality between pairs of Abelian gauged linear sigma models, a…

4D gauge theories with conformal matter Open

Fabio Apruzzi, Jonathan J. Heckman, David R. Morrison, Luigi Tizzano · 2018

Cremona Transformations and Degrees of Period Maps for $K3$ Surfaces with Ordinary Double Points Open

David R. Morrison, Masa-Hiko Saito · 2018

Geometry and physics: An overview Open

David R. Morrison · 2018

We present some episodes from the history of interactions between geometry and physics over the past century.

Gromov–Witten invariants and localization Open

David R. Morrison · 2017

We give a pedagogical review of the computation of Gromov-Witten invariants\nvia localization in 2D gauged linear sigma models. We explain the relationship\nbetween the two-sphere partition function of the theory and the Kahler\npotential …

6D SCFTs and phases of 5D theories Open

Michele Del Zotto, Jonathan J. Heckman, David R. Morrison · 2017

Starting from 6D superconformal field theories (SCFTs) realized via F-theory, we show how reduction on a circle leads to a uniform perspective on the phase structure of the resulting 5D theories, and their possible conformal fixed points. …

Localization techniques in quantum field theories Open

Vasily Pestun, Maxim Zabzine, Francesco Benini, Tudor Dimofte, Thomas T. Dumitrescu , et al. · 2017

This is the foreword to the special issue on localization techniques in quantum field theory. The summary of individual chapters is given and their interrelation is discussed.

6D SCFTs and phases of 5D theories Open

Michele Del Zotto, Jonathan J. Heckman, David R. Morrison · 2017

Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces Open

David R. Morrison, Daniel S. Park, Washington Taylor · 2016

We construct a general class of Calabi--Yau threefolds from fiber products of rational elliptic surfaces with section, generalizing a construction of Schoen to include all Kodaira fiber types. The resulting threefolds each have two ellipti…

Tall sections from non-minimal transformations Open

David R. Morrison, Daniel S. Park · 2016

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

James Halverson, David R. Morrison · 2016

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 particles. This is more difficult than for Calabi-Yau comp…

Solving the Pricing Problem in a Branch-and-Price Algorithm for Graph Coloring Using Zero-Suppressed Binary Decision Diagrams Open

David R. Morrison, Edward C. Sewell, Sheldon H. Jacobson · 2016

Branch-and-price algorithms combine a branch-and-bound search with an exponentially sized LP formulation that must be solved via column generation. Unfortunately, the standard branching rules used in branch and bound for integer programmin…

Sections, multisections, and U(1) fields in F-theory Open

David R. Morrison, Washington Taylor · 2016

We show that genus-one fibrations lacking a global section fit naturally into the geometric moduli space of Weierstrass models. Elliptic fibrations with multiple sections (nontrivial Mordell-Weil rank), which give rise in F-theory to abeli…

Calabi-Yau manifolds, mirror symmetry, and $F$-theory - part I Open

David R. Morrison · 2016

There are five superstring theories, all formulated in 9+1 spacetime dimensions; lower-dimensional theories are studied by taking some of the spatial dimensions to be compact (and small). One of the remarkable features of this setup is tha…

F-theory and the classification of little strings Open

Lakshya Bhardwaj, Michele Del Zotto, Jonathan J. Heckman, David R. Morrison, Tom Rudelius , et al. · 2016

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