The 6d (2,0)-superconformal QFT admits a soliton solution which is a string charged under the self-dual B-field.
Externally this is the boundary of the M2-brane ending on the M5-brane. As such this is “the string in M-theory” and hence is also called the M-string.
The elliptic genus of the self-dual string at the boundary of the M2-brane on the M5-brane has been suggested to be directly analogous to the Todd genus of the boundary of the open superstring ending on D-branes and hence has been suggested to be the M5-brane charge in (Sati 10). Discussion of the computation of this elliptic genus includes (Hohenegger-Iqbal 13).
Table of branes appearing in supergravity/string theory (for classification see at brane scan).
partition functions in quantum field theory as indices/genera/orientations in generalized cohomology theory:
As a black brane the self-dual string in 6d was maybe first seen in
The appearance of self-dual string in six dimensions with an ADE classification was first observed in
As a Green-Schwarz sigma-model the brane scan-cocycle for the superstring in 6d is given in
Leonardo Castellani, Riccardo D'Auria, Pietro Fré, (III.7.15) of Supergravity and Superstrings - A Geometric Perspective, World Scientific, 1991
Further discussion includes
John Schwarz, Self-Dual Superstring in Six Dimensions (arXiv:hep-th/9604171)
P.S. Howe, Neil Lambert, Pete West, The Self-Dual String Soliton, Nucl.Phys. B515 (1998) 203-216 (arXiv:hep-th/9709014)
Hisham Sati, Geometric and topological structures related to M-branes, part I, Proc. Symp. Pure Math. 81 (2010), 181-236 arXiv:1001.5020,
In view of M-strings and the M-string elliptic genus:
Last revised on November 15, 2020 at 14:16:36. See the history of this page for a list of all contributions to it.