Tensionless Strings and Galilean Conformal Algebra
Abstract
We find an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been discussed in the context of the non-relativistic limit of AdS/CFT and more recently in flat-space holography as the proposed symmetry algebra of the field theory dual to 3d Minkowski spacetimes. It is best understood as a contraction of two copies of the Virasoro algebra. In this note, we link this to the tensionless limit of bosonic closed string theory. We show how it emerges naturally as a contraction of the residual gauge symmetries of the tensile string in the conformal gauge. We also discuss a possible "dual" interpretation in terms of a point-particle like limit.
Cite
@article{arxiv.1303.0291,
title = {Tensionless Strings and Galilean Conformal Algebra},
author = {Arjun Bagchi},
journal= {arXiv preprint arXiv:1303.0291},
year = {2013}
}
Comments
17 pages; v2: minor corrections and improvements. References updated