Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons

Details Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons

1998-08-21

arxiv.org/abs/hep-th/9808140v5

Nucl.Phys. B544 (1999) 432-447

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, RevTeX; v2: generalized energy result, added minor clarifications, and fixed typos; v3: more minor clarifications an

Scientific paper

10.1016/S0550-3213(99)00027-9

We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric $\phi^4$ and sine-Gordon models in 1+1 dimensions. In both models, we unambiguously calculate the correction to the energy in a simple renormalization scheme and obtain $\Delta H = - m/(2\pi)$, in agreement with previous results. Furthermore, we show that there is an identical correction to the central charge, so that the BPS bound remains saturated in the one-loop approximation. We extend these results to arbitrary 1+1 dimensional supersymmetric theories.

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