nLab
selfdual string
Context
String theory
Ingredients
Critical string models
Extended objects
Topological strings
Backgrounds
Phenomenology
Contents
Idea
The 6d (2,0)superconformal QFT admits a soliton solution which is a string charged under the selfdual Bfield. Externally this is the boundary of the M2brane ending on the M5brane. As such this is “the string in Mtheory” and hence is also called the Mstring (e.g.HoheneggerIqbal 13).
Properties
Elliptic genus and M5brane charge
The elliptic genus of the selfdual string at the boundary of the M2brane on the M5brane has been suggested to be directly analogous to the Todd genus of the boundary of the open superstring ending on Dbranes and hence has been suggested to be the M5brane charge in (Sati 10). Discussion of the computation of this elliptic genus includes (HoheneggerIqbal 13).
Table of branes appearing in supergravity/string theory (for classification see at brane scan).
brane  in supergravity  charged under gauge field  has worldvolume theory 

black brane  supergravity  higher gauge field  SCFT 
Dbrane  type II  RRfield  super YangMills theory 
$(D = 2n)$  type IIA  $\,$  $\,$ 
D0brane  $\,$  $\,$  BFSS matrix model 
D2brane  $\,$  $\,$  $\,$ 
D4brane  $\,$  $\,$  D=5 super YangMills theory with Khovanov homology observables 
D6brane  $\,$  $\,$  D=7 super YangMills theory 
D8brane  $\,$  $\,$  
$(D = 2n+1)$  type IIB  $\,$  $\,$ 
D(1)brane  $\,$  $\,$  $\,$ 
D1brane  $\,$  $\,$  2d CFT with BH entropy 
D3brane  $\,$  $\,$  N=4 D=4 super YangMills theory 
D5brane  $\,$  $\,$  $\,$ 
D7brane  $\,$  $\,$  $\,$ 
D9brane  $\,$  $\,$  $\,$ 
(p,q)string  $\,$  $\,$  $\,$ 
(D25brane)  (bosonic string theory)   
NSbrane  type I, II, heterotic  circle nconnection  $\,$ 
string  $\,$  B2field  2d SCFT 
NS5brane  $\,$  B6field  little string theory 
Dbrane for topological string    $\,$ 
Abrane    $\,$ 
Bbrane    $\,$ 
Mbrane  11D SuGra/Mtheory  circle nconnection  $\,$ 
M2brane  $\,$  C3field  ABJM theory, BLG model 
M5brane  $\,$  C6field  6d (2,0)superconformal QFT 
M9brane/O9plane    heterotic string theory 
Mwave    
topological M2brane  topological Mtheory  C3field on G2manifold  
topological M5brane  $\,$  C6field on G2manifold  
solitons on M5brane  6d (2,0)superconformal QFT   
selfdual string   selfdual Bfield  
3brane in 6d    
partition functions in quantum field theory as indices/genera/orientations in generalized cohomology theory:
References
As a black brane the selfdual string in 6d was maybe first seen in
The appearance of selfdual string in six dimensions with an ADE classification was first observed in
Further discussion includes

P.S. Howe, Neil Lambert, Pete West, The SelfDual String Soliton, Nucl.Phys. B515 (1998) 203216 (arXiv:hepth/9709014)

Hisham Sati, Geometric and topological structures related to Mbranes , part I, Proc. Symp. Pure Math. 81 (2010), 181236 arXiv:1001.5020,

Stefan Hohenegger, Amer Iqbal, Mstrings, Elliptic Genera and N=4 String Amplitudes (arXiv:1310.1325)
Revised on February 10, 2015 15:40:02
by
Urs Schreiber
(195.113.30.252)