Tensionless strings and Galilean Conformal Algebra
By Arjun Bagchi. 2013
135 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d965df613ecb16ddb10f74d68b11d6846e7ba6dc
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In Applied Mathematics
In Nuclear and High Energy Physics
- J. Hartong
- N. Obers
- Ziqi Yan
- T. Harmark
- Lorenzo Menculini
- Shankhadeep Chakrabortty
- Pulastya Parekh
- Arjun Bagchi
In Statistical and Nonlinear Physics
- J. Hartong
- Ziqi Yan
- N. Obers
- Lorenzo Menculini
- T. Harmark
- Shankhadeep Chakrabortty
- Pulastya Parekh
- Arjun Bagchi
Citations in the corpus
- Tensionless strings from worldsheet symmetries (2015, background): “Galilean conformal symmetry arises in the case of the tensionless string as the residual symmetry on the worldsheet when the analogue of the conformal gauge is fixed [18].”
- Conformal Carroll groups (2014, unknown): “By contrast Bagchi [38], following earlier work [39], claims invariance under a group generated by τ σ σ σ+ ∂ + ∂′ σ τ( )f g g( ) ( ) ( ) .”
- Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence (2018, background): “However, the world-sheet theories in [23, 24] appear to be of a different type.”