Topological-charge anomalies in supersymmetric theories with domain walls

Abstract

Domain walls in 1+2 dimensions are studied to clarify some general features of topological-charge anomalies in supersymmetric theories, by extensive use of a superfield supercurrent. For domain walls quantum modifications of the supercharge algebra arise not only from the short-distance anomaly but also from another source of long-distance origin, induced spin in the domain-wall background, and the latter dominates in the sum. A close look into the supersymmetric trace identity, which naturally accommodates the central-charge anomaly and its superpartners, shows an interesting consequence of the improvement of the supercurrent: Via an improvement the anomaly in the central charge can be transferred from induced spin in the fermion sector to an induced potential in the boson sector. This fact reveals a dual character, both fermionic and bosonic, of the central-charge anomaly, which reflects the underlying supersymmetry. The one-loop superfield effective action is also constructed to verify the anomaly and BPS saturation of the domain-wall spectrum.

8 pages, Revtex

References in corpus (3)

• Topological anomalies from the path integral measure in superspace
• Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons
• On the nature of the anomalies in the supersymmetric kink

Cited by in corpus (7)

• BPS saturation of the N=4 monopole by infinite composite-operator renormalization
• Central charge and renormalization in supersymmetric theories with vortices
• Superconducting Cosmic Strings and One Dimensional Extended Supersymmetric Algebras
• Effect of quantum fluctuations on topological excitations and central charge in supersymmetric theories
• Localized Fermions on Superconducting Domain Walls and Extended Supersymmetry with non-trivial Topological Charges
• Fermions in a Reissner-Nordström-anti-de Sitter Black Hole Background and $N=4$ Supersymmetry with non-trivial Topological Charges
• Domain Walls, The Extended Superconformal Algebra, and The Supercurrent