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On the moduli space of non-commutative multi-solitons at finite θ

2002/10/08 by Takeo Araki, Katsushi Ito · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0370-2693(02)02903-9

published as Phys.Lett. B549 (2002) 204-212 · 14 pages, LaTeX

arxiv created 2002/10/08 · openalex publication_date 2002/11/01 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the finite theta correction to the metric of the moduli space of noncommutative multi-solitons in scalar field theory in (2+1) dimensions. By solving the equation of motion up to order O(theta-2) explicitly, we show that the multi-soliton solution must have the same center for a generic potential term. We examine the condition that the multi-centered configurations are allowed. Under this condition, we calculate the finite theta correction to the metric of the moduli space of multi-solitons and argue the possibility of the non right-angle scattering of two solitons. We also obtain the potential between two solitons.

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