Matrix theory (physics)

Matrix theory (physics)

In physics, matrix string theory is a set of equations that describe superstring theory in a non-perturbative framework. Type IIA string theory can be shown to be equivalent to a maximally supersymmetric two-dimensional 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 M-theory as a random matrix model. Matrix string theory is related to M(atrix) theory in the same sense that superstring theory is related to M-theory.

M(atrix) theory is written in terms of interacting zero-dimensional Dirichlet branes in the infinite momentum frame. It was proposed by Banks, Fischler, Shenker, and Susskind in 1996.[4] See also the discussion in M-theory.


  1. ^ L. Motl, "Proposals on nonperturbative superstring interactions". arXiv:hep-th/9701025.
  2. ^ R. Dijkgraaf, E. Verlinde, H. Verlinde, "Matrix String Theory", Nucl. Phys. B 500, p. 43 (1997) arXiv:hep-th/9703030.
  3. ^ N. Ishibashi, H. Kawai, Y.Kitazawa, A. Tsuchiya, "A large-N reduced model as superstring", Nucl. Phys. B 498 p. 467 (1997) arXiv:hep-th/9612115.
  4. ^ T. Banks, W. Fischler, S.H. Shenker and L. Susskind, "M Theory As A Matrix Model: A Conjecture". Phys. Rev. D55 (1997). arXiv:hep-th/9610043.

External links

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