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

Abstract

We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric ${\varphi }^4$ 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.

15 pages, RevTeX; v2: generalized energy result, added minor clarifications, and fixed typos; v3: more minor clarifications and corrections; v4: fixed factor of 2 in eq. (25); v5: fixed minor error in eq. (55)

References in corpus (2)

• No saturation of the quantum Bogomolnyi bound by two-dimensional supersymmetric solitons
• Finite Quantum Fluctuations About Static Field Configurations

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