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We calculate the excitation spectrumof closed k-strings in 2+1 dimensionalSU(N) gauge theories for N = 4, 5 and k = 2. Our results demonstrate that thelow-lying spectrum of the k = 2 string falls into sectors that belong to nearlypure antisymmetric and symmetric representations, showing that k-strings knownot only about the centre of the group, but also about the full group. We alsoobserve that the lightest states in each irreducible representation areconsistent with what one would expect from an effective string theory thatbelongs to the same bosonic universality class (Nambu-Goto) as the fundamentalstring. We find that the corrections compared to the free string theory are ofO(1), in striking contrast to the very small correction observed for thefundamental string. We also observe unbound w = 2 states.

Spectrum of closed k-strings in D=2+1