Singular geometry and Higgs bundles in string theory
From MaRDI portal
Publication:1749889
DOI10.3842/SIGMA.2018.037zbMath1419.14016arXiv1710.08453OpenAlexW2765954455WikidataQ129952071 ScholiaQ129952071MaRDI QIDQ1749889
Laura Fredrickson, Mboyo Esole, Lara B. Anderson, Laura P. Schaposnik
Publication date: 17 May 2018
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.08453
String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relationships between algebraic curves and integrable systems (14H70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Topology of real algebraic varieties (14P25) Mirror symmetry (algebro-geometric aspects) (14J33)
Related Items
Shatz and Bialynicki-Birula stratifications of the moduli space of Higgs bundles ⋮ Aspects of Calabi-Yau integrable and Hitchin systems ⋮ Perspectives on the asymptotic geometry of the Hitchin moduli space ⋮ T-branes and defects ⋮ sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system ⋮ Unramified covers and branes on the Hitchin system ⋮ Extending the geometry of heterotic spectral cover constructions ⋮ The geometry of the \(\mathrm{SU}(2){\times} \mathrm{G}_2\)-model ⋮ Fibrations in non-simply connected Calabi-Yau quotients ⋮ The two faces of T-branes ⋮ \(F_4\) and PSp\((8,\mathbb{C})\)-Higgs pairs understood as fixed points of the moduli space of \(E_6\)-Higgs bundles over a compact Riemann surface
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Atomic classification of 6D SCFTs
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- Courbes elliptiques: Formulaire
- Group actions on quiver varieties and applications
- Fibre Systems of Jacobian Varieties
- Ramifications of the Geometric Langlands Program
- The Self-Duality Equations on a Riemann Surface
- Spectral curves and the generalised theta divisor.
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- Compactification of moduli of Higgs bundles
- An elementary approach to the abelianization of the Hitchin system for arbitrary reductive groups
- Wild non-abelian Hodge theory on curves
- A Degeneration of Moduli of Hitchin Pairs
- Quantum $q$-Langlands Correspondence
- Monodromy of rank 2 twisted Hitchin systems and real character varieties
- On the image of the parabolic Hitchin map
- Weyl groups and birational transformations among minimal models
- Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles
- Cubics, Integrable Systems, and Calabi-Yau Threefolds
- A Compactification over \overline{𝑀_{𝑔}} of the Universal Moduli Space of Slope-Semistable Vector Bundles
- Spectral Covers
- Toric bases for 6D F‐theory models
- Autoduality of compactified Jacobians for curves with plane singularities
- MONODROMY OF THE SL2 HITCHIN FIBRATION
- Supersymmetries and their representations
- Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
- Mirror symmetry for Nahm branes
- Brauer group of moduli of Higgs bundles and connections
- The Singular Fiber of the Hitchin Map
- Spectral Data for U(m,m)-Higgs Bundles
- Notes on a New Construction of Hyperkahler Metrics
- Higgs Bundles and Characteristic Classes
- Conformal Field Theory In Four And Six Dimensions
- A Gieseker type degeneration of moduli stacks of vector bundles on curves
- Spinors, Lagrangians and rank 2 Higgs bundles
- Limiting configurations for solutions of Hitchin’s equation
- Generalized parabolic Hitchin pairs
- GAUGE THEORY AND WILD RAMIFICATION
- MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
- Geometric singularities and enhanced gauge symmetries
- Symplectic manifolds and isomonodromic deformations
- Four-dimensional wall-crossing via three-dimensional field theory
- Box graphs and resolutions I
- T-branes and geometry
- Box graphs and singular fibers
- Mordell-Weil torsion and the global structure of gauge groups in F-theory
- Singularities and gauge theory phases
- The Tate form on steroids: resolution and higher codimension fibers
- Gluing branes. II: Flavour physics and string duality
- Ends of the moduli space of Higgs bundles
- A compactification of the moduli space of principal Higgs bundles over singular curves
- Real structures on moduli spaces of Higgs bundles
- Higgs bundles and \((A,B,A)\)-branes
- \(G_4\)-flux, chiral matter and singularity resolution in F-theory compactifications
- Langlands duality for Hitchin systems
- T-branes and monodromy
- Algebraic Nahm transform for parabolic Higgs
- Higgs bundles and exceptional isogenies
- Stable bundles and integrable systems
- Refined BPS invariants of 6d SCFTs from anomalies and modularity
- T-branes and matrix models
- Perverse sheaves on real loop Grassmannians
- Singularities and gauge theory phases. II.
- Phases, flops and F-theory: \(\mathrm{SU}(5)\) gauge theories
- General Argyres-Douglas theory
- Poisson varieties from Riemann surfaces
- Action of the mapping class group on character varieties and Higgs bundles
- \(D_5\) elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory
- Automorphisms of \({\mathbb C}^*\) moduli spaces associated to a Riemann surface
- Geometric endoscopy and mirror symmetry
- Electric-magnetic duality and the geometric Langlands program
- Addendum to the paper ``Generalised parabolic sheaves on an integral projective curve
- Higgs bundles and local systems
- Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)
- Special Kähler manifolds
- Vanishing of intersection numbers on the moduli space of Higgs bundles.
- The heterotic string, the tangent bundle and derived categories
- Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface
- Moduli of representations of the fundamental group of a smooth projective variety. I
- Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
- Generalized parabolic bundles and applications. II
- Spectral curves and compactification of Jacobians
- Mirror symmetry, Langlands duality, and the Hitchin system
- Calabi-Yau spaces and five-dimensional field theories and exceptional gauge symmetry
- The gerbe of Higgs bundles.
- Positivity and higher Teichmüller theory
- \( \mathcal{N}=3 \) four dimensional field theories
- On four dimensional \(N=3\) superconformal theories
- Matter in transition
- S-folds and 4d \( \mathcal{N} =3\) superconformal field theories
- Three-index symmetric matter representations of \(SU(2)\) in F-theory from non-Tate form Weierstrass models
- T-branes through 3d mirror symmetry
- Quiver elliptic W-algebras
- Terminal singularities, Milnor numbers, and matter in F-theory
- Symmetric products of a real curve and the moduli space of Higgs bundles
- Compact T-branes
- 6D SCFTs and phases of 5D theories
- Exceptional \( \mathcal{N}=3 \) theories
- T-branes at the limits of geometry
- T-branes, monopoles and S-duality
- Monodromy of the \(\mathrm{SL}(n)\) and \(\mathrm{GL}(n)\) Hitchin fibrations
- Asymptotics of Hitchin's metric on the Hitchin section
- Asymptotic geometry of the Hitchin metric
- Branes through finite group actions
- 6d conformal matter
- Singular principal \(G\)-bundles on nodal curves
- GUT theories from Calabi-Yau 4-folds with \(\mathrm{SO}(10)\) singularities
- Moduli of representations of the fundamental group of a smooth projective variety. II
- Evidence for F-theory
- Comments on string dynamics in six dimensions
- Compactifications of F-theory on Calabi-Yau threefolds. II
- Mirror symmetry is \(T\)-duality
- Quantization via mirror symmetry
- Quantum curves for Hitchin fibrations and the Eynard-Orantin theory
- Yukawas, G-flux, and spectral covers from resolved Calabi-Yau's
- Matter and singularities
- Principal Schottky bundles over Riemann surfaces
- Brane involutions on irreducible holomorphic symplectic manifolds
- Euler characteristics of crepant resolutions of Weierstrass models
- Fourier-Mukai and autoduality for compactified Jacobians. I
- F-theory fluxes, chirality and Chern-Simons theories
- Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves
- Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
- Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles
- Geometric transitions and mixed Hodge structures
- A classification of topologically stable Poisson structures on a compact oriented surface
- Spectra of D-branes with Higgs vevs
- Nonabelianization of Higgs bundles
- \(N=2\) supersymmetric dynamics for pedestrians
- Small resolutions of SU(5)-models in F-theory
- Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes
- On compact analytic surfaces. III
- On the purity of the degeneration loci of families of curves
- On compact analytic surfaces. II
- Maximal \(\mathsf{Sp}(4,\mathbb R)\) surface group representations, minimal immersions and cyclic surfaces
- Non-Higgsable clusters for 4D F-theory models
- \(\mathbb{P}^1 \)-bundle bases and the prevalence of non-higgsable structure in 4D F-theory models
- F-theory on singular spaces
- Classification of 6d \( \mathcal{N}=\left(1,0\right) \) gauge theories
- Rational points of quiver moduli spaces
- Families of $${\mathcal N}=2$$ Field Theories
- Strings of Minimal 6d SCFTs
