Holographic Correlation Functions for Open Strings and Branes

TL;DR

This paper computes holographic two- and three-point functions involving giant gravitons and open strings, revealing that open string contributions match free field predictions and D-brane contributions vanish for certain correlators.

Contribution

It introduces a new prescription for calculating string state contributions and provides explicit holographic computations for correlators involving open strings and giant gravitons.

Findings

Open string contributions match free field theory predictions.

D-brane contributions to structure constants vanish.

The new prescription successfully computes string state contributions.

Abstract

In this paper, we compute holographically the two-point and three-point functions of giant gravitons with open strings. We consider the maximal giant graviton in $S^5$ and the string configurations corresponding to the ground states of Z=0 and Y=0 open spin chain, and the spinning string in AdS$_5$ corresponding to the derivative type impurities in Y=0 or Z=0 open spin chain as well. We treat the D-brane and open string contribution separately and find the corresponding D3-brane and string configurations in bulk which connect the composite operators at the AdS$_5$ boundary. We apply a new prescription to treat the string state contribution and find agreements for the two-point functions. For the three-point functions of two giant gravitons with open strings and one certain half-BPS chiral primary operator, we find that the D-brane contributions to structure constant are always vanishing and the open string contribution for the Y=0 ground state is in perfect match with the prediction in the free field limit.