Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-04
Phys.Rev. D63 (2001) 025006
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 22 pages, 9 figures (eps)
Scientific paper
10.1103/PhysRevD.63.025006
We discuss quantum tunneling between classically BPS saturated solitons in two-dimensional theories with N=2 supersymmetry and a compact space dimension. Genuine BPS states form shortened multiplets of dimension two. In the models we consider there are two degenerate shortened multiplets at the classical level, but there is no obstruction to pairing up through quantum tunneling. The tunneling amplitude in the imaginary time is described by instantons. We find that the instanton is nothing but the 1/4 BPS saturated ``wall junction,'' considered previously in the literature in other contexts. Two central charges of the superalgebra allow us to calculate the instanton action without finding the explicit solution (it is checked, though, numerically, that the saturated solution does exist). We present a quantum-mechanical interpretation of the soliton tunneling.
Binosi Daniele
Shifman Michael
Veldhuis Tonnis ter
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