Rotational holographic transport from Kerr-Newman-AdS black hole

We consider rotational holographic transport in strongly coupled <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 systems, from the point of view of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:mn>3</c:mn><c:mo>+</c:mo><c:mn>1</c:mn></c:mrow></c:math>-dimensional gravity. We consider the moment of inertia <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>I</e:mi></e:math> as a kind of transport coefficient, identified with the moment of inertia of a charged rotating black hole in <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>AdS</g:mi><g:mn>4</g:mn></g:msub></g:math> background. In the low-temperature region, we find the behavior of the density <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>I</i:mi><i:mo>/</i:mo><i:mi>A</i:mi></i:math> with temperature <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>T</k:mi></k:math> and angular velocity <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi mathvariant="normal">Ω</m:mi></m:math> and find a quadratic behavior for <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mo>∂</p:mo><p:mo stretchy="false">(</p:mo><p:mi>I</p:mi><p:mo>/</p:mo><p:mi>A</p:mi><p:mo stretchy="false">)</p:mo><p:mo>/</p:mo><p:mo>∂</p:mo><p:mi mathvariant="normal">Ω</p:mi></p:math> with <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:mi>T</u:mi></u:math>, in the presence of some charge <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi>Q</w:mi></w:math>. Published by the American Physical Society 2024