Operator with large spin and spinning D3-brane

TL;DR

This paper studies the conformal dimension of high-spin operators using spinning D3-branes with electric flux in AdS_5 x S^5, revealing a scaling relation and a phase transition related to string charge.

Contribution

It introduces a D3-brane approach to analyze large spin operators, extending beyond fundamental strings, and identifies a phase transition at a critical string charge.

Findings

Conformal dimension scales with spin and R-charge in a specific parameter region.

A phase transition occurs when the string charge exceeds a critical value.

No stable D3-brane solutions exist above the critical string charge.

Abstract

We consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made by taking trace in a large symmetric representation. The conformal dimension, the spin and the R-charge show a scaling relation in a certain region of parameters. In the small string charge limit, the result is consistent with the fundamental string picture. There is a phase transition when the fundamental string charge become larger than a certain critical value; there is no stable D3-brane solution above the critical value.