• Corpus ID: 117794043

# Lie groups, Nahm's equations and hyperkaehler manifolds

@article{Bielawski2005LieGN,
title={Lie groups, Nahm's equations and hyperkaehler manifolds},
author={Roger Bielawski},
journal={arXiv: Differential Geometry},
year={2005}
}
• R. Bielawski
• Published 22 September 2005
• Mathematics
• arXiv: Differential Geometry
Lectures given at the summer school on Algebraic Groups, Goettingen, June 27 - July 15 2005
INFORMAL NOTES ON HYPERKÄHLER GEOMETRY
• Mathematics
• 2012
Informal notes prepared for the CAMGSD working seminar on Symplectic/Contact Geometry/Topology.
On 2d TQFTs whose values are holomorphic symplectic varieties
• Mathematics
• 2011
For simple and simply-connected complex algebraic group G, we conjecture the existence of a functor eta_G from the category of 2-bordisms to the category of holomorphic symplectic varieties with
On 6d N = (2, 0) theory compactified on a Riemann surface with finite area
• Mathematics
Progress of Theoretical and Experimental Physics
• 2013
We study 6d N=(2,0) theory of type SU(N) compactified on Riemann surfaces with finite area, including spheres with fewer than three punctures. The Higgs branch, whose metric is inversely proportional
S-duality of boundary conditions in N=4 super Yang-Mills theory
• Physics
• 2008
By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the
Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory
• Mathematics
• 2008
AbstractWe study boundary conditions in ${\mathcal{N}}=4$ super Yang-Mills theory that preserve one-half the supersymmetry. The obvious Dirichlet boundary conditions can be modified to allow some
Boundaries and Defects of N = 4 SYM with 4 Supercharges Part II : Brane Constructions and 3 d N = 2 Field Theories
• Physics
• 2014
We study the vacuum moduli spaces of 3d N = 2 supersymmetric quantum field theories by applying the formalism developed in our previous paper [1]. The 3d theories can be realized by branes in type
2 2 M ay 2 01 8 Skyrme model from 6 d N = ( 2 , 0 ) theory
• Mathematics
• 2018
We consider 5d Yang–Mills theory with a compact ADE-type gauge group G on R × I, where I is an interval. The maximally supersymmetric extension of this model appears after compactification on S of 6d

## References

SHOWING 1-10 OF 120 REFERENCES
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
• Mathematics
• 1996
We prove Patterson's conjecture about the singularities of the Selberg zeta function associated to a convex-cocompact, torsion free group acting on a hyperbolic space.
Algebraic Geometry
Introduction to Algebraic Geometry.By Serge Lang. Pp. xi + 260. (Addison–Wesley: Reading, Massachusetts, 1972.)
Algebraic loop groups and moduli spaces of bundles
Abstract.We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine
GENERALIZED BESSEL MODELS FOR A SYMPLECTIC GROUP OF RANK 2
• Mathematics
• 1973
In this paper we prove a uniqueness theorem for an analogue of the Bessel model of an irreducible representation of a symplectic group of rank 2 over a disconnected local field. Bibliography: 4 items.
Fuchsian groups of the second kind and representations carried by the limit set
• Mathematics
• 1997
Fuchsian groups of the second kind and representations carried by the limit set Dedicated to Rolf Sulanke on the occasion of his 65'th birthday.
Nahm's equations and the classification of monopoles
Solutions of Nahm's system of ordinary differential equations are produced by variational methods. This leads to an explicit parametrisation of the solutions to the Bogomolny equation over ℝ3.
Quasi-Equivariant D -Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups
• Mathematics
• 1994
In this note, we describe proofs of certain conjectures on functorial, geometric constructions of representations of a reductive Lie group G R . Our methods have applications beyond the conjectures