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.

17 pages; v2: minor corrections and improvements. References updated

References in corpus (8)

• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Holography of 3d Flat Cosmological Horizons
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Flat-Space Chiral Gravity
• Supersymmetric Extension of GCA in 2d
• Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity

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