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On electric-magnetic duality
Abstract As shown by Seiberg and Witten, electric-magnetic duality allows to calculate the central charges of N = 2 supersymmetric theories with massless hypermultiplets as derivatives of simpleExpand
Supersymmetries and their Representations
Abstract We determine all manifest supersymmetries in more than 1 + 1 dimensions, including those with conformal or de Sitter space-time symmetry. For the supersymmetries in flat space we determineExpand
Quasi-rational fusion products
  • W. Nahm
  • Mathematics, Physics
  • 8 February 1994
Fusion is defined for arbitrary lowest weight representations of W-algebras, without assuming rationality. Explicit algorithms are given. A category of quasi-rational representations is defined andExpand
Self-dual monopoles and calorons
The study of nonlinear partial differential equations remained outside the mainstream of mathematics, because their solution spaces seemed to be rather arbitrary and complicated. But physicistsExpand
W-algebras with two and three generators
Abstract We construct all W -algebras of chiral fields which in addition to the energy-momentum density have a single generator of conformal dimension up to 8. Some of them were unexpected, whichExpand
A simple formalism for the BPS monopole
Abstract A simple formalism for the BPS monopole is obtained by generalizing the ADHM construction of multi-instantons to a Hilbert space. Both the potential itself and the Green's functions forExpand
A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6
Abstract: We study the moduli space ℳ of N=(4,4) superconformal field theories with central charge c= 6. After a slight emendation of its global description we find the locations of various knownExpand
Conformal Field Theory and Torsion Elements of the Bloch Group
  • W. Nahm
  • Physics, Mathematics
  • 18 April 2004
We argue that rational conformally invariant quantum field theories in two dimensions are closely related to torsion elements of the algebraic K-theory group K_3(C). If such a theory has anExpand
Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
We illustrate through the examples of the osp(2,1) and spl(2,1) algebras the differences between the properties of the irreducible representations of simple graded Lie algebras and simple LieExpand