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Norm-dependent random matrix ensembles in external field and supersymmetry

Norm-dependent random matrix ensembles in external field and supersymmetry

The class of norm-dependent Random Matrix Ensembles is studied in the presence of an external field. The probability density in those ensembles depends on the trace of the squared random matrices, but is otherwise arbitrary. An exact mapping to superspace is performed. A transformation formula is derived which gives the …