Matrix theory (physics)
String theory 

Fundamental objects 
Perturbative theory 
Nonperturbative results 
Phenomenology 
Mathematics 
Theorists

In physics, matrix string theory is a set of equations that describe superstring theory in a nonperturbative framework. Type IIA string theory can be shown to be equivalent to a maximally supersymmetric twodimensional gauge theory, the gauge group of which is U(N) for a large value of N. This matrix string theory was first proposed by Luboš Motl in 1997 ^{[1]} and later independently in a more complete paper by Robbert Dijkgraaf, Erik Verlinde, and Herman Verlinde.^{[2]} Another matrix string theory equivalent to Type IIB string theory was constructed in 1996 by Ishibashi, Kawai, Kitazawa and Tsuchiya.^{[3]} This version is known as the IKKT matrix model.
M(atrix) theory
M(atrix) theory (also known as BFSS matrix model) is a fundamental formulation of Mtheory as a random matrix model. Matrix string theory is related to M(atrix) theory in the same sense that superstring theory is related to Mtheory.
M(atrix) theory is written in terms of interacting zerodimensional Dirichlet branes in the infinite momentum frame. It was proposed by Banks, Fischler, Shenker, and Susskind in 1996.^{[4]} See also the discussion in Mtheory.
References
 ^ L. Motl, "Proposals on nonperturbative superstring interactions". arXiv:hepth/9701025.
 ^ R. Dijkgraaf, E. Verlinde, H. Verlinde, "Matrix String Theory", Nucl. Phys. B 500, p. 43 (1997) arXiv:hepth/9703030.
 ^ N. Ishibashi, H. Kawai, Y.Kitazawa, A. Tsuchiya, "A largeN reduced model as superstring", Nucl. Phys. B 498 p. 467 (1997) arXiv:hepth/9612115.
 ^ T. Banks, W. Fischler, S.H. Shenker and L. Susskind, "M Theory As A Matrix Model: A Conjecture". Phys. Rev. D55 (1997). arXiv:hepth/9610043.
External links
 Matrix theory on arxiv.org