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Carrollian limit of NS-NS and Heterotic Supergravity

2026/07/10 by Romina Ballesteros, Eric Lescano, Sergio Patiño-López · 1 citation
#hep-th #gr-qc

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Abstract

We construct the Carrollian limit of NS--NS and heterotic supergravity through an ultra-relativistic expansion of the fields. An appropriate scaling of the dilaton renders the measure finite and compensates the divergences arising from the NS-NS supergravity Lagrangian, giving a finite action as w→∞. We then extend the construction to heterotic supergravity (neglecting fermions) by incorporating the non-Abelian gauge field together with the Green--Schwarz (GS) mechanism. The resulting theory contains a finite gauge sector consistently coupled to gravity, and the GS mechanism for the Carrollian 1-form field can be trivialized imposing field redefinitions. Then, we investigate the Carrollian equations of motion by both expanding the relativistic equations and deriving them from a variational principle. We also show that the leading α'-corrected \rm Riem2 contribution remains finite under a rescaling of the string parameter α'→ (α'c)/(w2), opening further research towards the full four-derivative effective action. Finally, we discuss the potential connection with the worldsheet formalism of the Carrollian string theory.

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