Wess-Zumino-Witten Model for Galilean Conformal Algebra

Abstract

In this note, we construct a Wess-Zumino-Witten model based on the Galilean conformal algebra in 2-spacetime dimensions, which is a nonrelativistic analogue of the relativistic conformal algebra. We obtain exact background corresponding to σ-models in six dimensions (the dimension of the group manifold) and a central charge c=6. We carry out a Sugawara type construction to verify the conformal invariance of the model. Further, we discuss the feasibility of the background obtained as a physical spacetime metric.

Latex file, 11 pages, v2: minor changes, references added

References in corpus (5)

• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
• Metrics with Galilean Conformal Isometry

Cited by in corpus (3)

• Physical ageing and new representations of some Lie algebras of local scale-invariance
• Non-relativistic quantum strings from gauged WZW models
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations