Tensionless strings and Galilean Conformal Algebra
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13130_2013_Article_6176.pdf
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Author(s)
Bagchi, Arjun
Date Issued
May 2013
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Bagchi, Arjun. “Tensionless Strings and Galilean Conformal Algebra.” Journal of High Energy Physics 2013.5 (2013): n. pag.
Version
Author's final manuscript
Abstract
We discuss 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 studied 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 showing 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. We show that this different contraction, motivated by an exchange of world-sheet space and time co-ordinates, leads to the same symmetry algebra and provide further evidence in support of our claim by looking at the theory on a torus.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2013)141
