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Supergravity without gravity and its BV formulation

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arxiv 2408.14656 v1 pith:624TUZLZ submitted 2024-08-26 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords supergravitytheoryaspectsformulationfullparticularallowbuild
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The generalised-geometric formulation of 10-dimensional supergravity suggests a particular simple "limit", which results in a theory whose only dynamical degrees of freedom are the dilaton and the dilatino. The theory is still invariant both under generalised diffeomorphisms and a local supersymmetry and in many aspects is structurally similar to the original supergravity, which makes it a convenient playground for understanding more subtle aspects of the full physical setup. In particular, the simplicity and the geometric nature of the dilatonic theory allow us to build a full BV extension to all orders in the fermionic variables.

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  1. Batalin-Vilkovisky formulation of the $\mathcal N=1$ supergravity in ten dimensions

    hep-th 2025-01 conditional novelty 7.0 of 10

    A BV action for ten-dimensional N=1 supergravity coupled to Yang-Mills is proposed in component fields, with consistency checks but no complete proof of the classical master equation.

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