Large branes in AdS and their field theory dual

TL;DR

This paper demonstrates that gravitons in AdS5 x S5 with large momentum can blow up into spherical D-branes in both S5 and AdS5, preserving supersymmetry, and constructs a dual classical SYM solution with matching quantum numbers.

Contribution

It shows that gravitons can blow up into spherical D-branes in AdS5 with the same quantum numbers as in S5, and constructs a dual classical SYM solution.

Findings

Branes are BPS, preserving 16 supersymmetries.

Classical SYM solution matches the quantum numbers of the large brane.

The solution has non-zero Higgs expectation values.

Abstract

Recently it was suggested that a graviton in $AdS_5 \times S^5$ with a large momentum along the sphere can blow up into a spherical D-brane in $S^5$. In this paper we show that the same graviton can also blow up into a spherical D-brane in $AdS_5$ with exactly the same quantum numbers (angular momentum and energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show that there is a BPS {\it classical} solution for SYM on $S^3\times R$ with exactly the same quantum numbers. The solution has non-vanishing Higgs expectation values and hence is dual to the large brane in AdS.