{ "id": "hep-th/9903227", "version": "v1", "published": "1999-03-26T00:20:33.000Z", "updated": "1999-03-26T00:20:33.000Z", "title": "Holographic description of D3-branes in flat space", "authors": [ "Akikazu Hashimoto" ], "comment": "8 pages, 1 eps figure", "journal": "Phys.Rev. D60 (1999) 127902", "doi": "10.1103/PhysRevD.60.127902", "categories": [ "hep-th" ], "abstract": "We describe a scheme for constructing the holographic dual of the full D3-brane geometry with charge $K$ by embedding it into a large anti-de Sitter space of size $N$. Such a geometry is realized in a multi-center anti-de Sitter geometry which admits a simple field theory interpretation as $SU(N+K)$ gauge theory broken to $SU(N) \\times SU(K)$. We find that the characteristic size of the D3-brane geometry is of order $(K/N)^{1/4} U^0$ where $U^0$ is the scale of the Higgs. By choosing $N$ to be much larger than $K$, the scale of the D3-brane metric can be well separated from the Higgs scale in the radial coordinate. We generalize the holographic energy-distance relation and estimate the characteristic energy scale associated with these radial scales, and find that the $E/U$ relation becomes effectively $U$ independent in the range $(K/N)^{1/2} U^0 < U < U^0$. This implies that all detailed structure of the D3-brane geometry is encoded in the fine structure of the boundary gauge theory at around the Higgs scale.", "revisions": [ { "version": "v1", "updated": "1999-03-26T00:20:33.000Z" } ], "analyses": { "keywords": [ "holographic description", "flat space", "higgs scale", "large anti-de sitter space", "simple field theory interpretation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 497381 } } }