Supersymmetry algebras that include topological charges

Multi-vortices are wall vortices: A numerical proof

“…It is in fact known that the Abelian-Higgs model with the BPS potential arise from the bosonic Lagrangian of SQED with zero mass and a Fayet-Ilyopoulos term [16]. In this case the "miracle" of the proportionality between the tension and the charge finds its explanation in the central charge of the supersymmetry algebra [15]. 3 In the present paper we have finaly found a convincing proof that multi-vortices become bags in the large n limit.…”

A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges

“…The action possess a global SO(3) × SO (7) symmetry, where SO(3) is the euclidean counterpart of the Lorentz symmetry and SO (7) is the R-symmetry of the theory. Under this symmetry the gauge bosons transform as (3,1), the scalars as (1, 7), and the fermions as (1, 8) ⊕ (1, 8). The action has a form form similar to that in eq.…”

“…The gauge boson in three dimensions is dual to a compact scalar. In the infrared limit of the theory (at scales well below g 2 3 ) this scalar is thought to decompactify, joining the other seven scalars to form the (1,8) representation of an enhanced SO(8) R-symmetry [8].…”

“…[12,13] and show how the Q = 16 supercharge theories may be constructed on euclidean spacetime lattices; as we shall show, the A * d structure of the lattices we construct have a particularly elegant structure. 1 The challenge confronting attempts to put these and other supersymmetric YangMills (SYM) theories on the lattice has been how to maintain enough supersymmetry in the absence of continuous translations in order to forbid the numerous relevant operators which violate the symmetries of the desired continuum theory. Obvious and egregious examples of such unwanted operators are mass terms for the scalar partners of the gauge bosons; only some sort of residual supersymmetry can forbid such operators.…”

Low energy dynamics of monopoles in supersymmetric Yang-Mills theories with hypermultiplets

“…Only Z − appears as a central charge in the N = 2 supersymmetry algebra and half-BPS states satisfy M = |Z − | [26,23]. Thus BPS solitons can only have charges satisfying |Z − | ≥ |Z + |.…”