Microstates of a 2d Black Hole in string theory

A bstract We analyse models of Matrix Quantum Mechanics in the double scaling limit that contain non-singlet states. The finite temperature partition function such systems contains non-trivial winding modes (vortices) and is expressed terms a group theoretic sum over representations. then focus case when first mode dominant (model Kazakov-Kostov-Kutasov). In large representations (continuous Young diagrams), depending on values parameters model as compactification radius string coupling, dual geometric background corresponds to long (winding mode) condensate or 2 d (non-supersymmetric) Black Hole. matrix we can tune these explore various phases regimes. Our construction allows us identify origin microstates backgrounds, arising from non trivial representations, paves way for computing observables them.