|All Roads Lead to String Theory (Polchinski)|
Prior to the First Superstring Revolution
|Early History|| S-Matrix Theory|
|Bosonic String Theory|| Worldsheet|
Bosonic String Theory
String Perturbation Theory
|Supersymmetric Revolution|| Supersymmetry|
|First Superstring Revolution|| GSO Projection|
Type II String Theory
Type IIB String Theory
Type IIA String Theory
Type I String Theory
Type H String Theory
Type HO String Theory
Type HE String Theory
|Second Superstring Revolution|| T-Duality|
Horava-Witten String Theory
N=4 Super-Yang-Mills Theory
BFSS Matrix Theory
Matrix String Theory
Twistor String Theory
String Field Theory
Pure Spinor Formalism
After the Revolutions
|Phenomenology|| String Theory Landscape|
Minimal Supersymmetric Standard Model
Type IIA Matrix String TheoryEdit this section
Since when M-Theory is compactified on a light-like circle, this becomes finite, so should , to have a well-defined momenta.
M-Theory compactified on a light-circle is related by a Lorentz Transform to M-Theory compactified on a space-like circle. This is because a Lorentz Transform transforms between space-like coordinates and time-like ones.
The actual Lorentz Transform2 can be calculated as follows:
Type IIA Matrix String Theory still has a gauge group of , but with a finite , .
Type HE Matrix String TheoryEdit this section
Type HE Matrix String Theory is much more difficult than Type IIA Matrix String Theory, because to have an 11-Dimensional Interpretation (a consistent M-Theory which gives rise to this theory when the=re is a Horava-Witten Boundary), extra fields, called the -fields (also known as the "Chi-Fields"), need to be added. See . Equation 3.1 of  is basically, as one may see from the Dirac Field Lagrangian Density, that:
Note that the first is not conjugated, because this is unnecessary (the -field is real).
ReferencesEdit this section
- ↑ 1.0 1.1 1.2 Motl, Lubos; Banks, Thomas. (2001). "Nonperturbative Formulations of Superstring Theory". New Brunswick Rutgers, The State University of New Jersey. http://arxiv.org/pdf/hep-th/0109149.pdf.
- ↑ Motl, Lubos; Susskind, Leonard. (1997). "Finite N Heterotic Matrix Models and Discrete Light Cone Quantization". ArXiV. http://arxiv.org/pdf/hep-th/9708083v2.pdf.
- ↑ Motl, Lubos; Banks, Thomas. (1997). "Heterotic Strings from Matrices". Journal of High Energy Physics 9712 (4). http://arxiv.org/pdf/hep-th/9703218v1.pdf.
- ↑ Motl, Lubos (1997). "Proposals on nonperturbative superstring interactions". ArXiV. http://arxiv.org/pdf/hep-th/9701025v3.pdf.
- ↑ Motl, Lubos (1997). "Quaternions and M(atrix) theory in spaces with boundaries". ArXiV. http://arxiv.org/pdf/hep-th/9612198v3.pdf.