nLab
M-string

Contents

Context

String theory

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

Idea

The brane intersection of an M2-brane with an M5-brane (i.e. a self-dual string in the M5’s worldvolume D=6 N=(2,0) SCFT is called an M-string if the other end of the M2-brane intersects another, parallel, M5-brane.

graphics grabbed from HLV 14

In contrast, if the other end of the M2 intersects an MO9-plane, then the former intersection is an E-string.

Properties

M-string elliptic genus

See at M-string elliptic genus.

brane intersections/bound states/wrapped branes/polarized branes

S-duality\,bound states:

intersecting\,M-branes:

References

General

Elliptic genera as super pp-brane partition functions

The interpretation of elliptic genera (especially the Witten genus) as the partition function of a 2d superconformal field theory (or Landau-Ginzburg model) – and especially of the heterotic string (“H-string”) or type II superstring worldsheet theory – originates with:

Review in:

Via super vertex operator algebra

Formulation via super vertex operator algebras:

and for the topologically twisted 2d (2,0)-superconformal QFT (the heterotic string with enhanced supersymmetry) via sheaves of vertex operator algebras in

based on chiral differential operators:

Via Dirac-Ramond operators on free loop space

Tentative interpretation as indices of Dirac-Ramond operators as would-be Dirac operators on smooth loop space:

Via functorial QFT

Tentative formulation via functorial quantum field theory ((2,1)-dimensional Euclidean field theories and tmf):

Via conformal nets

Tentative formulation via conformal nets:

Occurrences in string theory

H-string elliptic genus

The interpretation of equivariant elliptic genera as partition functions of parametrized WZW models in heterotic string theory:

M5-brane elliptic genus

On the M5-brane elliptic genus:

A 2d SCFT argued to describe the KK-compactification of the M5-brane on a 4-manifold (specifically: a complex surface) originates with

Discussion of the resulting elliptic genus (2d SCFT partition function) originates with:

Further discussion in:

M-string elliptic genus

On the elliptic genus of M-strings inside M5-branes:

E-string elliptic genus

On the elliptic genus of E-strings as wrapped M5-branes:

On the elliptic genus of E-strings as M2-branes ending on M5-branes:

Last revised on November 29, 2020 at 04:18:48. See the history of this page for a list of all contributions to it.