Anomalous Dimensions from a Spinning D5-Brane

TL;DR

This paper calculates the anomalous dimension of a specific operator in N=4 super Yang-Mills theory at strong coupling by modeling it with a spinning D5-brane, extending previous string-based results.

Contribution

It introduces a novel approach using a spinning D5-brane to determine anomalous dimensions of bound states, generalizing earlier string-based methods.

Findings

Derived the anomalous dimension from a spinning D5-brane configuration.

Extended previous string results to D5-brane setups for bound states.

Provided a new holographic computation method for operator dimensions.

Abstract

We consider the anomalous dimension of a certain twist two operator in N=4 super Yang-Mills theory. At strong coupling and large-N it is captured by the classical dynamics of a spinning D5-brane. The present calculation generalizes the result of Gubser, Klebanov and Polyakov (hep-th/0204051): in order to calculate the anomalous dimension of a bound state of k coincident strings, the spinning closed string is replaced by a spinning D5 brane that wraps an S4 inside the S5 part of the AdS5 times S5 metric.