Perturbative Quantum Corrections to the Supersymmetric CP^1 Kink with Twisted Mass

Abstract

We present an explicit calculation of the one-loop quantum corrections to the mass and the two central charges of the kink solution of an N=(2,2) supersymmetric CP^1 model with twisted mass, using supersymmetry preserving dimensional regularization adapted to solitons. We find that the quantum corrections of the mass and one of the central charges are nontrivial (but saturate the BPS bound), while the other central charge receives no corrections. The nontrivial central charge correction corresponds to a quantum anomaly, which in our scheme appears as parity violation in the regulating extra dimension, and its magnitude is in agreement with exact results obtained by Dorey on the basis of a massive analog of mirror symmetry from a dual U(1) gauge theory, confirming also the recent work by Shifman, Vainshtein, and Zwicky.

1+17 pages, 2 figures, JHEP style. v2: minor corrections, references added. Dedicated to the memory of Wolfgang Kummer

References in corpus (28)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Vortices, Instantons and Branes
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Non-Abelian String Junctions as Confined Monopoles
• Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)
• Branes and N=2 Theories in Two Dimensions
• Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling
• Topological boundary conditions, the BPS bound, and elimination of ambiguities in the quantum mass of solitons
• Nonabelian Monopoles and the Vortices that Confine Them
• Anomaly and quantum corrections to solitons in two-dimensional theories with minimal supersymmetry
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons
• Scattering and Thermodynamics of Integrable N=2 Theories
• No saturation of the quantum Bogomolnyi bound by two-dimensional supersymmetric solitons
• Instanton Effects in Three-Dimensional Supersymmetric Gauge Theories with Matter
• Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation
• One-loop surface tensions of (supersymmetric) kink domain walls from dimensional regularization
• Quantum corrections to mass and central charge of supersymmetric solitons
• The anomaly in the central charge of the supersymmetric kink from dimensional regularization and reduction
• Mode regularization of the susy sphaleron and kink: zero modes and discrete gauge symmetry
• Local Casimir Energy For Solitons
• Single State Supermultiplet in 1+1 Dimensions
• A new anomalous contribution to the central charge of the N=2 monopole
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Quantum Mass and Central Charge of Supersymmetric Monopoles - Anomalies, current renormalization, and surface terms
• BPS saturation of the N=4 monopole by infinite composite-operator renormalization

Cited by in corpus (5)

• The Geometric Phase in Supersymmetric Quantum Mechanics
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
• Quantum Energies and Tensorial Central Charges of Confined Monopoles
• Quantum fluctuations of topological ${\mathbb{S}}^3$-kinks