Branes through finite group actions

DOI10.1016/j.geomphys.2018.03.014zbMath1388.81546arXiv1611.00391OpenAlexW2548646552WikidataQ130066566 ScholiaQ130066566MaRDI QIDQ1748235

Laura P. Schaposnik, Sebastian Heller

Publication date: 9 May 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00391

zbMATH Keywords

spectral datafinite group actionHiggs bundlesHitchin fibration\((B, B, B)\)-branes

Mathematics Subject Classification ID

Unified quantum theories (81V22) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (12)

Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups ⋮ Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles ⋮ Hitchin components for orbifolds ⋮ Unramified covers and branes on the Hitchin system ⋮ Higgs bundles, branes and Langlands duality ⋮ Triality for homogeneous polynomials ⋮ Singular geometry and Higgs bundles in string theory ⋮ Branes and moduli spaces of Higgs bundles on smooth projective varieties ⋮ Action of the mapping class group on character varieties and Higgs bundles ⋮ Group actions on quiver varieties and applications ⋮ Hyperbolic band theory through Higgs bundles ⋮ Degeneration of natural Lagrangians and Prymian integrable systems

Cites Work

• Unnamed Item
• Unnamed Item
• Real structures on moduli spaces of Higgs bundles
• Higgs bundles and \((A,B,A)\)-branes
• Stable bundles and integrable systems
• Classifying finite group actions on surfaces of low genus
• Finite group actions on bordered surfaces of small genus
• Electric-magnetic duality and the geometric Langlands program
• Higgs bundles and local systems
• Lie groups and Teichmüller space
• Mirror symmetry, Langlands duality, and the Hitchin system
• Symplectic structure of the moduli space of flat connection on a Riemann surface
• Quantization via mirror symmetry
• Nonabelianization of Higgs bundles
• Group actions on quiver varieties and applications
• AUTOMORPHISM FIXED POINTS IN THE MODULI SPACE OF SEMI-STABLE BUNDLES
• The Self-Duality Equations on a Riemann Surface
• Hitchin Hamiltonians in Genus 2
• Lectures on Klein Surfaces and Their Fundamental Group
• Monodromy of rank 2 twisted Hitchin systems and real character varieties
• Novikov inequalities with symmetry
• Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
• MONODROMY OF THE SL₂ HITCHIN FIBRATION
• Spectral Data for U(m,m)-Higgs Bundles
• Higgs Bundles and Characteristic Classes
• Real algebraic curves

This page was built for publication: Branes through finite group actions