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Batalin-Vilkovisky Formulation of N=1 Supergravity in Ten Dimensions.

Physical review letters·2025
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Higher Fermions in Supergravity.

Julian Kupka1, Charles Strickland-Constable1, Fridrich Valach1

  • 1University of Hertfordshire, Department of Physics, Astronomy and Mathematics, College Lane, Hatfield, AL10 9AB, United Kingdom.

Physical Review Letters
|April 7, 2025
PubMed
Summary

A new generalized geometry formalism simplifies describing higher-fermion terms in ten-dimensional N=1 supergravity. This approach avoids superspace and yields five higher-fermion terms in actions and supersymmetry transformations.

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Area of Science:

  • Theoretical Physics
  • High-Energy Physics
  • String Theory

Background:

  • Supergravity theories describe gravity in conjunction with supersymmetry.
  • Describing higher-order fermion interactions is crucial for understanding quantum gravity effects.
  • Ten-dimensional N=1 supergravity is a key framework in string theory and M-theory.

Purpose of the Study:

  • To introduce a novel approach for describing higher-fermion terms in ten-dimensional N=1 supergravity.
  • To demonstrate the utility of the generalized geometry formalism in this context.
  • To simplify the analysis of actions and supersymmetry transformations.

Main Methods:

  • Utilizing the generalized geometry formalism.
  • Working within the second-order formalism.
  • Deriving expressions for higher-fermion terms without relying on supercovariantization or superspace.

Main Results:

  • The generalized geometry formalism offers a new perspective on higher-fermion terms.
  • Expressions involving only five higher-fermion terms were found.
  • These terms were identified across both the action and supersymmetry transformations.

Conclusions:

  • The generalized geometry formalism provides an efficient and alternative method for studying supergravity.
  • This formalism simplifies the description of complex terms in ten-dimensional supergravity.
  • The findings contribute to a deeper understanding of quantum gravity and string theory.