arXiv subjects

Zvonimir Hlousek

Publications and source records attributed to Zvonimir Hlousek.

3 recordsLinked to original sources

arXiv1997

Fermi-Bose Cancellation in Topologically Non-Trivial Backgrounds

We show in a model-independent way that, in the background of a topological soliton or instanton that saturates a Bogomol'nyi bound, the fermion and boson excitation spectra of non-zero modes cancel at the one-loop level. This generalizes D'Adda and DiVecchia's result for some specific instanton models. Our method also establishes, again in a model-independent way, the generality of the connection between zero modes in topologically non-trivial backgrounds and index theorems.

hep-th↗

arXiv1995

Solitons and Instantons with(out) Supersymmetry

We give model-independent arguments, valid in nearly any number of spacetime dimensions, that topological solitons and instantons satisfy Bogomol'nyi-type bounds and, when these bounds are saturated, satisfy self-duality equations. In the supersymmetric case, we also show that, in spacetime dimensions greater than two, theories with topological charges necessarily exhibit extended supersymmetry, in which the topological charge appears as the central charge. The significance of our arguments lies in their generality. In the supersymmetric case, we obtain insight into the contrast observed between topological charges in 1+1 and higher dimensional models. The centerpiece of our method is to require that the supersymmetric extension of a generic (non-supersymmetric) field theory be self-consistent. Our discussion of supersymmetric extensions is quite detailed, and introduces the notion of the "associated superfield" to construct such extensions.

hep-th↗

arXiv1994

Supersymmetry and Solitons: N=2 and N=0

This talk summarizes our recent work establishing an algebraic, model-independent basis for the existence of \B bounds and \B equations for topologically non-trivial solitons and instantons. Our arguments use supersymmetry in an essential way to understand both supersymmetric and non-supersymmetric theories. Our arguments are constructive and work in nearly any number of dimensions. Presented at and to appear in the proceedings of the XX^{th} International Colloquium on Group Theoretical Methods in Physics, Osaka, July 1994.

hep-th↗