Penrose limit of T dual of Maldacena-Nastase solution and dual orbifold field theory

Here we study the Penrose limit of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>T</a:mi></a:math> dual of the Maldacena-Nastase solution and its field theory dual, in order to better understand the effect of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>T</c:mi></c:math> duality in this case. We find a matching of string <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>p</e:mi><e:mi>p</e:mi></e:math> wave oscillators and their masses to the field theory modes, that are rearranged after <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>T</g:mi></g:math> duality. The effect of <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>T</i:mi></i:math> duality on the long “annulon-type” operators is found as a symmetry of the (<k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mrow><k:mn>2</k:mn><k:mo>+</k:mo><k:mn>1</k:mn></k:mrow></k:math>)-dimensional confining theory with spontaneous supersymmetry breaking. Published by the American Physical Society 2024