Non equivalence of Carroll limits in relativistic string theory
arxiv(2024)
Abstract
We construct new Carroll strings in flat space by considering the Carroll
limit of equivalent relativistic string theories at classical level. In the
limit these Carroll strings are no longer equivalent and have different degrees
of freedom. This fact is due to a general phenomenon that the configuration
space and canonical Lagrangians are no longer equivalent after a singular
redefinition of the variables and of the parameters of the starting
Lagrangians.
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