Spinning σ-model solitons in 2 + 1 anti-de Sitter space

  title={Spinning $\sigma$-model solitons in 2 + 1 anti-de Sitter space},
  author={Benjamin Harms and Allen Stern},
  journal={Physics Letters B},
Abstract We obtain numerical solutions for rotating topological solitons of the nonlinear σ -model in three-dimensional anti-de Sitter space. Two types of solutions, i ) and ii ), are found. The σ -model fields are everywhere well defined for both types of solutions, but they differ in their space–time domains. Any time slice of the space–time for the type i ) solution has a causal singularity, despite the fact that all scalars constructed from the curvature tensor are bounded functions. No… Expand

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