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Durham University

Department of Mathematical Sciences


Publication details for Professor Emeritus Wojtek Zakrzewski

Bolognesi, S. & Zakrzewski, W. (2014). Clustering and decomposition for non-BPS solutions of the CPN−1 models. Physical Review D 89(6): 065013.

Author(s) from Durham


We look at solutions [both Bogomol’nyi-Prasad-Sommerfield (BPS) and non-BPS] of the CPN−1 model on R×S1 (with twisted boundary conditions), in particular by using a conformal mapping technique, and we show how to interpret these solutions by decomposing them into expressions describing constituent solitons. We point out the problems that may arise (for non-BPS solutions) when one naively looks at the clustering properties of these solutions. This could lead to misunderstandings when studying extrapolations between small and large compactification radii.