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Many properties of the moduli space of abelian vortices on a compact Riemann surface are known. For non-abelian vortices the moduli space is less well understood. Here we consider non-abelian vortices on the Riemann sphere CP^1, and we…

High Energy Physics - Theory · Physics 2013-04-10 Norman A. Rink

The moduli space and generalised global symmetries of 3d $\mathcal{N} = 5$ superconformal field theories are investigated, with a focus on the orthosymplectic ABJ theories and their discrete gauging variants. We extend the known…

High Energy Physics - Theory · Physics 2026-03-25 Sebastiano Garavaglia , William Harding , Deshuo Liu , Noppadol Mekareeya

The equations of motion of a mechanical system subjected to nonholonomic linear constraints can be formulated in terms of a linear almost Poisson structure in a vector bundle. We study the existence of invariant measures for the system in…

Mathematical Physics · Physics 2015-02-23 Yuri N. Fedorov , Luis C. García-Naranjo , Juan C. Marrero

We study BPS non-abelian semilocal vortices in U(Nc) gauge theory with Nf flavors, Nf > Nc, in the Higgs phase. The moduli space for arbitrary winding number is described using the moduli matrix formalism. We find a relation between the…

High Energy Physics - Theory · Physics 2008-11-26 Minoru Eto , Jarah Evslin , Kenichi Konishi , Giacomo Marmorini , Muneto Nitta , Keisuke Ohashi , Walter Vinci , Naoto Yokoi

A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string…

High Energy Physics - Theory · Physics 2021-12-21 Thomas W. Grimm

The distance conjecture states that for theories with moduli coupled to gravity a tower of states becomes light exponentially in the geodesic distance in moduli space. This specifies how effective field theories break down for large field…

High Energy Physics - Theory · Physics 2025-03-14 Cédric Debusschere , Flavio Tonioni , Thomas Van Riet

We consider a Yang-Mills-Higgs theory with gauge group $G=SU(n)$ broken to $G_{v} = [SU(p)\times SU(n-p)\times U(1)]/Z$ by a Higgs field in the adjoint representation. We obtain monopole solutions whose magnetic field is not in the Cartan…

High Energy Physics - Theory · Physics 2019-01-18 Maria de Lourdes Z. P. Deglmann , Marco A. C. Kneipp

In this paper we consider $\rm SU(2)$ monopoles on an asymptotically conical, oriented, Riemannian $3$-manifold with one end. The connected components of the moduli space of monopoles in this setting are labeled by an integer called the…

Differential Geometry · Mathematics 2019-07-03 Daniel Fadel , Goncalo Oliveira

We construct a partial compactification of the moduli space, M_k, of SU(2) magnetic monopoles on R^3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable…

Differential Geometry · Mathematics 2015-12-10 Chris Kottke , Michael Singer

Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic N=1 superconformal field theory, we define the moduli space of N=1 genus-zero super-Riemann surfaces with oriented and ordered…

Quantum Algebra · Mathematics 2007-05-23 Katrina D. Barron

The moduli space of principally polarized abelian varieties with real structure and with level $N=4m$ structure (with $m \ge 1$) is shown to coincide with the set of real points of a quasi-projective algebraic variety defined over $\mathbb…

Algebraic Geometry · Mathematics 2007-05-23 Mark Goresky , Yung sheng Tai

To explain the puzzling situation in the observed bulk flows on scales $\sim 150 h^{-1}$ Mpc ($H_0 = 100 h^{-1}$ km sec$^{-1}$ Mpc$^{-1}$), we consider the observational behavior of spherically symmetric inhomogeneous cosmological models,…

Astrophysics · Physics 2007-05-23 K. Tomita

The nucleation and evolution of bubbles are investigated in the model of an $O(3)$-symmetric scalar field coupled to gravity in the high temperature limit. It is shown that, in addition to the well-known bubble of which the inside region is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yoonbai Kim , Kei-ichi Maeda , Nobuyuki Sakai

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of…

High Energy Physics - Theory · Physics 2009-10-28 Kimyeong Lee , Erick J. Weinberg

We study the compactness problem for moduli spaces of holomorphic supercurves which, being motivated by supergeometry, are perturbed such as to allow for transversality. We give an explicit construction of limiting objects for sequences of…

Symplectic Geometry · Mathematics 2015-02-24 Josua Groeger

In this article we address a number of features of the moduli space of spherical metrics on connected, compact, orientable surfaces with conical singularities of assigned angles, such as its non-emptiness and connectedness. We also consider…

Differential Geometry · Mathematics 2019-07-26 Gabriele Mondello , Dmitri Panov

We study complexified Bogomolny monopoles using the complex linear extension of the Hodge star operator; these monopoles can be interpreted as solutions to the Bogomolny equation with a complex gauge group. Alternatively, these equations…

Differential Geometry · Mathematics 2022-07-22 Ákos Nagy , Gonçalo Oliveira

Using the renormalization group motivated smoothing technique, the large scale structure of lattice configurations at finite temperature is characterized in terms of Abelian monopoles identified in the maximally Abelian, the Laplacian…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

In this work, BPS models built from the coupling of Yang-Mills-Higgs Lagrangian to impurities are investigated. We first consider scalar impurities, which in the BPS limit generate monopoles similar to those obtained in a previously…

High Energy Physics - Theory · Physics 2025-10-24 D. Bazeia , M. A. Liao , M. A. Marques

The CMB anisotropies in spherical 3-spaces with a non-trivial topology are analysed with a focus on lens and prism shaped fundamental cells. The conjecture is tested that well proportioned spaces lead to a suppression of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 R. Aurich , S. Lustig
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