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19932026
most citedSupersymmetric Yang-Mills Systems And Integrable Systems

719 citations · 3.5k across the 84 of their papers we have counts for

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hep-th2023

The M-Theory Three-Form and Singular Geometries

R. Donagi, M. Wijnholt

While M- and F-theory compactifications describe a much larger class of vacua than perturbative string compactifications, they typically need singularities to generate non-abelian…

hep-th2023★ 3 cited

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…

hep-th2022★ 2 cited

The bad locus in the moduli of super Riemann surfaces with Ramond punctures

Ron Donagi, Nadia Ott

The bad locus in the moduli of super Riemann surfaces with Ramond punctures parametrizes those super Riemann surfaces that have more than the expected number of independent closed…

hep-th2022★ 9 cited

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…

hep-th2021★ 15 cited

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…

hep-th2020★ 1 cited

Families of Hitchin systems and N=2 theories

Aswin Balasubramanian, Jacques Distler, Ron Donagi

Motivated by the connection to 4d theories, we study the global behavior of families of tamely-ramified Hitchin integrable systems as the underlying curve va…

hep-th2020★ 21 cited

Machine Learning and Algebraic Approaches towards Complete Matter Spectra in 4d F-theory

Martin Bies, Mirjam Cvetic, Ron Donagi +3

Motivated by engineering vector-like (Higgs) pairs in the spectrum of 4d F-theory compactifications, we combine machine learning and algebraic geometry techniques to analyze line b…

hep-th2019★ 1 cited

Global aspects of moduli spaces of 2d SCFTs

Ron Donagi, Mark Macerato, Eric Sharpe

The Bagger-Witten line bundle is a line bundle over moduli spaces of two-dimensional SCFTs, related to the Hodge line bundle of holomorphic top-forms on Calabi-Yau manifolds. It ha…

hep-th2018★ 1 cited

Twisted spectral correspondence and torus knots

Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Ron Donagi +2

Cohomological invariants of twisted wild character varieties as constructed by Boalch and Yamakawa are derived from enumerative Calabi-Yau geometry and refined Chern-Simons invaria…

hep-th2017★ 6 cited

Conformal field theories and compact curves in moduli spaces

Ron Donagi, David R. Morrison

We show that there are many compact subsets of the moduli space of Riemann surfaces of genus that do not intersect any symmetry locus. This has interesting implications f…

hep-th2017★ 7 cited

BPS states, torus links and wild character varieties

Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev

A string theoretic framework is constructed relating the cohomology of wild character varieties to refined stable pair theory and torus link invariants. Explicit conjectural formul…

hep-th2017★ 7 cited

Type II String Theory on Calabi-Yau Manifolds with Torsion and Non-Abelian Discrete Gauge Symmetries

Volker Braun, Mirjam Cvetic, Ron Donagi +1

We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effecti…

hep-th2015★ 81 cited

F-Theory Vacua with Z_3 Gauge Symmetry

Mirjam Cvetič, Ron Donagi, Denis Klevers +2

Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi-Yau manifolds. Such geometries appear in families that are parameterized by the Tate…

hep-th2014

Global aspects of (0,2) moduli space: toric varieties and tangent bundles

Ron Donagi, Zhentao Lu, Ilarion V. Melnikov

We study the moduli space of A/2 half-twisted gauged linear sigma models for NEF Fano toric varieties. Focusing on toric deformations of the tangent bundle, we describe the vacuum…

hep-th2014

Super Atiyah classes and obstructions to splitting of supermoduli space

Ron Donagi, Edward Witten

The first obstruction to splitting a supermanifold S is one of the three components of its super Atiyah class, the two other components being the ordinary Atiyah classes on the red…

hep-th2013★ 31 cited

Parabolic refined invariants and Macdonald polynomials

Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Ron Donagi +1

A string theoretic derivation is given for the conjecture of Hausel, Letellier, and Rodriguez-Villegas on the cohomology of character varieties with marked points. Their formula is…

hep-th2013★ 50 cited

Supermoduli Space Is Not Projected

Ron Donagi, Edward Witten

We prove that for genus greater than or equal to 5, the moduli space of super Riemann surfaces is not projected (and in particular is not split): it cannot be holomorphically proje…

hep-th2012

The Sen Limit

A. Clingher, R. Donagi, M. Wijnholt

F-theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex structure moduli space, introduced by A. Se…

hep-th2012★ 10 cited

Weak Coupling, Degeneration and Log Calabi-Yau Spaces

R. Donagi, S. Katz, M. Wijnholt

We establish a new weak coupling limit in F-theory. The new limit may be thought of as the process in which a local model bubbles off from the rest of the Calabi-Yau. The construct…

hep-th2012

On Seven-Brane Dependent Instanton Prefactors in F-theory

Mirjam Cvetič, Ron Donagi, James Halverson +1

We study the moduli-dependent prefactor of M5-instanton corrections to the superpotential in four-dimensional F-theory compactifications. In light of the M-theory and type IIb limi…

hep-th2011★ 37 cited

The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard Embedding

Volker Braun, Philip Candelas, Rhys Davies +1

We construct supersymmetric compactifications of E_8 \times E_8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MS…

hep-th2011★ 2 cited

Gluing Branes II: Flavour Physics and String Duality

R. Donagi, M. Wijnholt

Recently we discussed new aspects of degenerate brane configurations, which can appear in the context of heterotic strings, perturbative type II, or M/F-theory. Here we continue ou…

hep-th2011

Gluing Branes, I

Ron Donagi, Martijn Wijnholt

We consider several aspects of holomorphic brane configurations. We recently showed that an important part of the defining data of such a configuration is the gluing morphism, whic…

hep-th2010

MSW Instantons

Ron Donagi, Martijn Wijnholt

We analyze M5-instantons in F-theory, or equivalently D3-instantons with varying axio-dilaton, in the presence of 7-brane gauge groups. The chiral two-form on the M5-brane plays an…