Zobrazeno 1 - 10
of 574
pro vyhledávání: '"14D21"'
Autor:
Ono, Takashi
In this paper, we introduce an equation which we call the Basic Hitchin equation. This is an equation defined on Sasakian three-folds and is a three-dimensional analog of the Hitchin equation which is defined on Riemann Surfaces. We construct the mod
Externí odkaz:
http://arxiv.org/abs/2409.16625
Autor:
Gyenge, Ádám, Rimányi, Richárd
We compute the equivariant K-theory of torus fixed points of Cherkis bow varieties of affine type A. We deduce formulas for the generating series of the Euler numbers of these varieties and observe their modularity in certain cases. We also obtain re
Externí odkaz:
http://arxiv.org/abs/2409.03859
Autor:
Tu, Xinyue
Publikováno v:
Math Phys Anal Geom 27, 18 (2024)
We show that for every complex simple Lie algebra, the equations of Schubert divisors on the flag variety give a complete integrable system of the minimal nilpotent orbit. The approach is motivated by the integrable system on Coulomb branch. We give
Externí odkaz:
http://arxiv.org/abs/2408.13020
Autor:
Ma, Weihan
Let $X$ be a Riemann surface. Using the canonical line bundle $K$ and some holomorphic differentials $\boldsymbol{q}$, Hitchin constructed the $G$-Higgs bundles in the Hitchin section for a split real form $G$ of a complex simple Lie group. We study
Externí odkaz:
http://arxiv.org/abs/2408.15278
Autor:
Kydonakis, Georgios, Yang, Mengxue
We study Gaiotto's conformal limit for the $G^{\mathbb{R}}$-Hitchin equations, when $G^{\mathbb{R}}$ is a simple real Lie group admitting a $\Theta$-positive structure. We identify a family of flat connections coming from certain solutions to the equ
Externí odkaz:
http://arxiv.org/abs/2408.06198
In this paper we generalize the conformal limit correspondence between Higgs bundles and holomorphic connections to the parabolic setting. Under mild genericity assumptions on the parabolic weights, we prove that the conformal limit always exists and
Externí odkaz:
http://arxiv.org/abs/2407.16798
In this paper we construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work with vector bundles over the unordered configuration space of a manifold
Externí odkaz:
http://arxiv.org/abs/2407.15287
Autor:
Mochizuki, Takuro
Let $(E,\theta)$ be a Higgs bundle of rank $2$ and degree $0$ on a compact Riemann surface $X$ whose spectral curve is smooth. The tangent space of the moduli space of Higgs bundles at $(E,\theta)$ is equipped with two natural metrics called the Hitc
Externí odkaz:
http://arxiv.org/abs/2407.05188
Let $G$ be a semisimple complex algebraic group with a simple Lie algebra $\mathfrak{g}$, and let $\mathcal{M}^0_{G}$ denote the moduli stack of topologically trivial stable $G$-bundles on a smooth projective curve $C$. Fix a theta characteristic $\k
Externí odkaz:
http://arxiv.org/abs/2404.12877
Autor:
Cork, Josh, Halcrow, Chris
Publikováno v:
Phys. Rev. D 110, 016027 (2024)
We provide a step-by-step method to construct skyrmions from instanton ADHM data, including when the exact ADHM data is unknown. The configurations look like clusters of smaller skyrmions, and can be used to build manifolds of skyrmions with or witho
Externí odkaz:
http://arxiv.org/abs/2403.17080