nLab
superstring

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 superstring 2-dimensional sigma-model is the analog of the string σ\sigma-model but with local worldsheet supersymmetry.

This is the higher dimensional analog of how the superparticle is related to the ordinary relativistic particle.

There are several different incarnations of the superstring.

manifest supersymmetry for brane sigma-models:

manifest worldvolume supersymmetrymanifest target+worldvolume supersymmetrymanifest target space supersymmetry
NSR action functionalsuperembedding approachGreen-Schwarz action functional

manifest supersymmetry for brane sigma-models:

manifest worldvolume supersymmetrymanifest target+worldvolume supersymmetrymanifest target space supersymmetry
NSR action functionalsuperembedding approachGreen-Schwarz action functional

References

General

The relationship between the NRS spinning string and the Green-Schwarz superstring sigma-models is discussed in

  • Rafael I. Nepomechie, Nonabelian bosonization, triality, and superstring theory Physics Letters B Volume 178, Issues 2-3, 2 October 1986, Pages 207-210

  • I. Bars, D. Nemschansky and S. Yankielowicz, SLACPub- 3758.

This involves the relation between the octonion algebra an spinors in 2+8 dimensions (see also division algebra and supersymmetry):

  • H. Tachibana, K. Imeda, Octonions, superstrings and ten-dimensional spinors , Il nuovo cimento, Vol 104 B N.1

As higher super-GS-WZW type σ\sigma-models

Discussion from the point of view of Green-Schwarz action functional-∞-Wess-Zumino-Witten theory is in

Revised on April 3, 2014 23:12:52 by Urs Schreiber (82.169.114.243)