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Tensionless strings and Galilean Conformal Algebra

  • Arjun BagchiEmail author
Article

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.

Keywords

Bosonic Strings Conformal and W Symmetry Gauge-gravity correspondence 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Center for Theoretical Physics, Massachusetts Institute of TechnologyCambridgeU.S.A.
  2. 2.School of Mathematics and the Maxwell Institute of Mathematical SciencesUniversity of EdinburghEdinburghU.K.

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