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 (e.g.Hohenegger-Iqbal 13).
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
Further discussion includes
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,
Stefan Hohenegger, Amer Iqbal, M-strings, Elliptic Genera and N=4 String Amplitudes (arXiv:1310.1325)
Last revised on February 10, 2015 at 15:40:02. See the history of this page for a list of all contributions to it.