• Corpus ID: 231639171

The geometry and DSZ quantization of four-dimensional supergravity

@inproceedings{Lazaroiu2021TheGA,
  title={The geometry and DSZ quantization of four-dimensional supergravity},
  author={Calin Iuliu Lazaroiu and C. S. Shahbazi},
  year={2021}
}
We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of four-dimensional bosonic ungauged supergravity on an oriented four-manifold M of arbitrary topology and use it to obtain its manifestly duality-covariant gauge-theoretic geometric formulation. Classical bosonic supergravity is completely determined by a submersion π over M equipped with a complete Ehresmann connection, a vertical euclidean metric and a vertically-polarized flat symplectic vector bundle Ξ. We implement the Dirac… 

References

SHOWING 1-10 OF 36 REFERENCES

The duality covariant geometry and DSZ quantization of abelian gauge theory

We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of classical abelian gauge theories with general duality structure on oriented and connected Lorentzian four-manifolds (M, g) of arbitrary

Section sigma models coupled to symplectic duality bundles on Lorentzian four-manifolds

Generalized Einstein-Scalar-Maxwell theories and locally geometric U-folds

We give the global mathematical formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields on a Lorentzian four-manifold, for the generalized situation when the

On discrete U duality in M theory

We give a complete set of generators for the discrete exceptional U-duality groups of toroidal compactified type II theory and M-theory in d 3. For this, we use the DSZ quantization in d = 4 as

Special geometry

Aspecial manifold is an allowed target manifold for the vector multiplets ofD=4,N=2 supergravity. These manifolds are of interest for string theory because the moduli spaces of Calabi-Yau threefolds

Unity of superstring dualities