Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, Revtex, one reference added

Scientific paper

10.1103/PhysRevD.69.065021

A superfield formulation is presented of the central charge anomaly in quantum corrections to solitons in two-dimensional theories with N=1 supersymmetry. Extensive use is made of the superfield supercurrent, that places the supercurrent J^{mu}_{alpha}, energy-momentum tensor Theta^{mu nu} and topological current zeta^{mu} in a supermultiplet, to study the structure of supersymmetry and related superconformal symmetry in the presence of solitons. It is shown that the supermultiplet structure of (J^{mu}_{alpha}, Theta^{mu nu}, zeta^{mu}) is kept exact while the topological current zeta^{\mu} acquires a quantum modification through the superconformal anomaly. In addition, the one-loop superfield effective action is explicitly constructed to verify the BPS saturation of the soliton spectrum as well as the effect of the anomaly.

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