The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.
Identifying Riemannian singularities with regular non-Riemannian geometry
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abstract
Admitting non-Riemannian geometries, Double Field Theory extends the notion of spacetime beyond the Riemannian paradigm. We identify a class of singular spacetimes known in General Relativity with regular non-Riemannian geometries. The former divergences merely correspond to coordinate singularities of the generalised metric for the latter. Computed in string frame, they feature an impenetrable non-Riemannian sphere outside of which geodesics are complete with no singular deviation. Approaching the non-Riemannian points, particles freeze and strings become (anti-)chiral.
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The non-relativistic limit of HSZ Theory
The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.