Isospinning <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="double-struck">C</mml:mi><mml:msup><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> solitons

We study stationary rotating topological solitons in a (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mn>2</a:mn><a:mo>+</a:mo><a:mn>1</a:mn></a:mrow></a:math>)-dimensional <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi mathvariant="double-struck">C</c:mi><c:msup><c:mi>P</c:mi><c:mn>2</c:mn></c:msup></c:math> nonlinear sigma model with a stabilizing potential term. We find families of <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>U</f:mi><f:mo stretchy="false">(</f:mo><f:mn>1</f:mn><f:mo stretchy="false">)</f:mo><f:mo>×</f:mo><f:mi>U</f:mi><f:mo stretchy="false">(</f:mo><f:mn>1</f:mn><f:mo stretchy="false">)</f:mo></f:math> symmetric solutions with topological degrees equal or larger than 1, which have two angular frequencies and are labeled by two (one topological and the other nontopological) winding numbers <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:msub><l:mi>k</l:mi><l:mn>1</l:mn></l:msub><l:mo>≥</l:mo><l:msub><l:mi>k</l:mi><l:mn>2</l:mn></l:msub></l:math>. We discuss properties of these solitons and investigate the domains of their existence. Published by the American Physical Society 2024