M5-brane charge

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

- Hisham Sati,
*Geometric and topological structures related to M-branes*, part I, Proc. Symp. Pure Math. 81 (2010), 181-236 arXiv:1001.5020,

Discussion of computation of the elliptic genus/Witten genus of the self-dual string on the M5-brane includes

- Stefan Hohenegger, Amer Iqbal,
*M-strings, Elliptic Genera and N=4 String Amplitudes*(arXiv:1310.1325)

Last revised on January 2, 2021 at 11:50:52. See the history of this page for a list of all contributions to it.