Stringy effect of the holographic correspondence for Dp-brane backgrounds

TL;DR

This paper investigates the impact of stringy modes on two-point functions in holographic Dp-brane backgrounds, revealing non-trivial corrections except for p=3 and a free-field behavior for p=4 in the IR limit.

Contribution

It extends the analysis of superstring amplitudes in Dp-brane backgrounds by including higher string modes and predicting their effects on two-point functions.

Findings

Stringy modes do not alter anomalous dimensions for p≠3.

Non-trivial corrections to two-point functions for supergravity modes.

For p=4, two-point functions behave like free fields with effective dimension 6.

Abstract

Based on the holographic conjecture for superstrings on Dp-brane backgrounds and the dual (p+1)-dimensional gauge theory ($0\le p\le 4$) given in hep-th/0308024 and hep-th/0405203, we continue the study of superstring amplitudes including string higher modes ($n\ne 0$). We give a prediction to the two-point functions of operators with large R-charge 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 d_{eff}=6 in the infra-red limit.