Effective field theories on solitons of generic shapes

Abstract

A class of effective field theories for moduli or collective coordinates on solitons of generic shapes is constructed. As an illustration, we consider effective field theories living on solitons in the O(4) non-linear sigma model with higher-derivative terms.

LaTeX: 6 pages, 1 figure; V2: published version, added discussion of higher-order corrections

References in corpus (12)

• Stationary ring solitons in field theory - knots and vortons
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Josephson vortices and the Atiyah-Manton construction
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Matryoshka Skyrmions
• Domain wall Skyrmions
• Non-Abelian vortex dynamics: Effective world-sheet action
• Higher Derivative Corrections to Non-Abelian Vortex Effective Theory
• The Moduli Space Metric for Well-Separated Non-Abelian Vortices

Cited by in corpus (11)

• Incarnations of Skyrmions
• Non-Abelian Sine-Gordon Solitons
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Relations among topological solitons
• Fractional Skyrmions and their molecules
• Topological solitons in the supersymmetric Skyrme model
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Skyrmions confined as beads on a vortex ring
• D-brane solitons in various dimensions
• Linked vortices as baryons in the miscible BEC-Skyrme model