Where D-brane charge is the charge in K-theory carried by D-branes and computed as the partition function/index of the “superparticles” on the D-brane being the boundary field theory of the open superstring ending on them, so open M2-branes ending on M5-branes should induced a charge given by the partition function of their bounding self-dual strings (“M-strings”), which is now an elliptic genus. Hence M5-brane charge should be in elliptic cohomology (Sati 10).
partition functions in quantum field theory as indices/genera/orientations in generalized cohomology theory:
That the elliptic genus of the self-dual string on the M5-brane should be the M5-brane charge in elliptic cohomology in higher analogy to D-brane charge in K-theory is due to
Discussion of computation of the elliptic genus/Witten genus of the self-dual string on the M5-brane includes
Last revised on January 2, 2021 at 16:50:52. See the history of this page for a list of all contributions to it.