Stringy effect of the holographic correspondence for Dp-brane backgrounds

Based on the holographic conjecture for superstrings on Dp-brane backgrounds and the dual (p + 1)-dimensional gauge theory (0 ≤ p ≤ 4) given in hep-th/0308024 and hep-th/0405203, we continue the study of superstring amplitudes including string higher modes (n 6= 0). We give a prediction to the two-point functions of operators with large Rcharge J . The effect of stringy modes do not appear as the form of anomalous dimensions except for p = 3. Instead, it gives non-trivial correction to the two-point functions for supergravity modes. For p = 4, the scalar two-point functions for any n behave like free fields of the effective dimension deff = 6 in the infra-red limit. E-mail address: [email protected]