Given a generic stable strongly parabolic SL (2, C) SL(2,C)‐Higgs bundle (E, φ) (E,φ), we
describe the family of harmonic metrics ht h_t for the ray of Higgs bundles (E, t φ) (E,tφ) for …

The moduli space of stable vector bundles on a Riemann surface is smooth when the rank
and degree are coprime, and is diffeomorphic to the space of unitary connections of central …

Let X be a compact and connected Riemann surface of genus g≥ 2. In this paper, moduli
spaces of Higgs bundles over X with structure group SL (n, ℂ), for n≥ 3, and Spin (2 n, ℂ) …

This brief survey aims to set the stage and summarize some of the ideas under discussion at
the Workshop on Singular Geometry and Higgs Bundles in String Theory, to be held at the …

A bstract Given an\(\mathcal {N}= 2\) superconformal field theory, we reconsider the Schur
index ℐ L (q) in the presence of a half line defect L. Recently Cordova-Gaiotto-Shao found …

In recent years, there has been an increased interest in exploring the connections between
various disciplines of mathematics and theoretical physics such as representation theory …

Let denote the hyperkähler moduli space of-Higgs bundles over a smooth projective curve.
In the context of four dimensional supersymmetric Yang–Mills theory, Kapustin and Witten …

This survey provides an introduction to basic questions and techniques surrounding the
topology of the moduli space of stable Higgs bundles on a Riemann surface. Through …

Geometry of co-Higgs bundles Steven Rayan, Balliol College Submitted for D. Phil.,
University of Oxford, Trinity Term 2011 Co-Higgs bundles are Higgs bundles in the sense of …

Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take
values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P^ 1 …