$$ \mathcal{P}\mathcal{T} $$ deformation of Calogero-Sutherland models
$$ \mathcal{P}\mathcal{T} $$ deformation of Calogero-Sutherland models
A bstract Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a $$ \mathcal{P}\mathcal{T} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>P</mml:mi> <mml:mi>T</mml:mi> </mml:math> symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an infinite tower of previously non-normalizable states. For integral values …