Highly Effective Action from Large N Gauge Fields
Abstract
Recently John H. Schwarz put forward a conjecture that the world-volume action of a probe D3-brane in an AdS5 x S5 background of type IIB superstring theory can be reinterpreted as the highly effective action (HEA) of four-dimensional N=4 superconformal field theory on the Coulomb branch. We argue that the HEA can be derived from the noncommutative (NC) field theory representation of the AdS/CFT correspondence and the Seiberg-Witten (SW) map defining a spacetime field redefinition between ordinary and NC gauge fields. It is based only on the well-known facts that the master fields of large N matrices are higher-dimensional NC U(1) gauge fields and the SW map is a local coordinate transformation eliminating U(1) gauge fields known as the Darboux theorem in symplectic geometry.
Keywords
Cite
@article{arxiv.1402.5134,
title = {Highly Effective Action from Large N Gauge Fields},
author = {Hyun Seok Yang},
journal= {arXiv preprint arXiv:1402.5134},
year = {2014}
}
Comments
v4: 40 pages, version to appear in Phys. Rev. D