Corpus ID: 207853004

Lift of fractional D-brane charge to equivariant Cohomotopy theory.

  title={Lift of fractional D-brane charge to equivariant Cohomotopy theory.},
  author={Simon Burton and Hisham Sati and Urs Schreiber},
  journal={arXiv: Representation Theory},
  • Simon Burton, Hisham Sati, Urs Schreiber
  • Published 2019
  • Mathematics, Physics
  • arXiv: Representation Theory
  • The lift of K-theoretic D-brane charge to M-theory was recently hypothesized to land in Cohomotopy cohomology theory. To further check this "Hypothesis H", here we explicitly compute the constraints on fractional D-brane charges at ADE-orientifold singularities imposed by the existence of lifts from equivariant K-theory to equivariant Cohomotopy theory, through Boardman's comparison homomorphism. We check the relevant cases and find that this condition singles out precisely those fractional D… CONTINUE READING