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Generalized multifractality characterizes system size dependence of purescaling local observables at Anderson transitions in all ten symmetry classesof disordered systems. Recently, the concept of generalized multifractality hasbeen extended to boundaries of critical disordered noninteracting systems. Herewe study the generalized boundary multifractality in the presence ofelectron-electron interaction, focusing on the spin quantum Hall symmetry class(class C). Employing the two-loop renormalization group analysis withinFinkel'stein nonlinear sigma model we compute the anomalous dimensions of thepure scaling operators located at the boundary of the system. We find thatgeneralized boundary multifractal exponents are twice larger than their bulkcounterparts. Exact symmetry relations between generalized boundarymultifractal exponents in the case of noninteracting systems are explicitlybroken by the interaction.

Boundary multifractality in the spin quantum Hall symmetry class with interaction