Longitudinal Galilean and Carrollian limits of non-relativistic strings

Abstract

It is well known that one can take an infinite speed of light limit that gives rise to non-relativistic strings with a relativistic worldsheet sigma model but with a non-relativistic target space geometry. In this work we systematically explore two further limits in which the worldsheet becomes non-Lorentzian. The first gives rise to a Galilean string with a Galilean structure on the worldsheet, extending previous work on Spin Matrix-related string theory limits. The second is a completely novel limit leading to a worldsheet theory with a Carrollian structure. We find the Nambu-Goto and Polyakov formulations of both limits and explore gauge fixing choices. Furthermore, we study in detail the case of the Galilean string for a class of target space geometries that are related to Spin Matrix target space geometries, for which the Nambu-Goto action (in static gauge) is quadratic in the fields.

29+3 pages; v2: minor changes

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Cited by in corpus (6)

• Unification of Decoupling Limits in String and M-theory
• Worldsheet Formalism for Decoupling Limits in String Theory
• Matrix Theory Reloaded: A BPS Road to Holography
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• de Sitter Holography and Carrollian Brane Theories