Central charge and renormalization in supersymmetric theories with vortices

Abstract

Some quantum features of vortices in supersymmetric theories in 1+2 dimensions are studied in a manifestly supersymmetric setting of the superfield formalism. A close examination of the supercurrent that accommodates the central charge and super-Poincare charges in a supermultiplet reveals that there is no genuine quantum anomaly in the supertrace identity and in the supercharge algebra, with the central-charge operator given by the bare Fayet-Iliopoulos term alone. The central charge and the vortex spectrum undergo renormalization on taking the expectation value of the central-charge operator. It is shown that the vortex spectrum is exactly determined at one loop while the spectrum of the elementary excitations receives higher-order corrections.

9 pages, revtex

References in corpus (1)

• Topological-charge anomalies in supersymmetric theories with domain walls

Cited by in corpus (6)

• BPS saturation of the N=4 monopole by infinite composite-operator renormalization
• Effect of quantum fluctuations on topological excitations and central charge in supersymmetric theories
• Revisiting Critical Vortices in Three-Dimensional SQED
• $\mathcal{N}=2$ Supersymmetry with Central Charge: A Twofold Implementation
• Dynamical Chiral Symmetry Breaking, Color Superconductivity, and Bose-Einstein Condensation in an $SU(N_c)\times U(N_f{)}_L\times U(N_f{)}_R$-invariant Supersymmetric Nambu$-$Jona-Lasinio Model
• Domain Walls, The Extended Superconformal Algebra, and The Supercurrent