We explore the possibility that both the suppression of the \ell = 2 multipole moment of the power spectrum of the cosmic microwave background temperature fluctuations and the possible dip in the power spectrum for \ell = 10 - 30 can be explained as the result of the resonant creation of sequential excitations of a fermionic ( or bosonic ) open ( or closed ) superstring that couples to the inflaton field . We show that a superstring with \approx 43 or 42 oscillations can fit the dips in the CMB TT and EE power spectra at \ell = 2 , and \ell = 20 , respectively . We deduce degeneracy of N \approx 1340 from which we infer a coupling constant between the string and the inflaton field of \lambda = 0.06 \pm 0.05 . This implies masses of m \approx 540 - 750 m _ { pl } for these states . We also show marginal evidence for the next lower excitation with n = 41 oscillations on the string at \ell \approx 60 . Although the evidence of the dips at \ell \approx 20 and \ell \approx 60 are of marginal statistical significance , and there are other possible interpretations of these features , this could constitute the first observational evidence of the existence of a superstring in Nature .