October 16, 2025Open Access

Geometry of supergravity and the Batalin--Vilkovisky formulation of the N=1 theory in ten dimensions

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This paper reveals a full BV formulation of supergravity in ten dimensions, highlighting field space geometry and Lorentz symmetries.

The action satisfies the classical master equation without Lorentz degrees of freedom, demonstrating efficiency in formulation.
The fibred structure of field space simplifies understanding fermionic and metric variations, impacting the structure of the theory.
Introducing a geometric perspective clarifies the relationship between spinorial quantities and the underlying metric.
This formulation contrasts with traditional methods by not using orthonormal frames, streamlining supergravity theory development.

Kupka et al. (2025) studied this question.

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