BFSS model
From Physics wiki
The low-energy dynamics of open strings connected to 
D0-branes can be described by a 10-dimensional 
super Yang-Mills theory after dimensional reduction to 0 spatial dimensions. This matrix model has the following Lagrangian (in string units) [1]:
![L = \frac{1}{2g} \left[\operatorname{tr} \dot{X}^i \dot{X}^i + 2 \theta^T \dot\theta -\frac{1}{2}\operatorname{tr} \left[ X^i, X^j \right]^2 -2 \theta^T \gamma_i \left[ \theta, X^i \right] \right]\,](/w/images/math/9/b/a/9ba62a2e5b84f50c6006708e8837733b.png)
.
Supermembrane action
See also
References
- ↑ 1.0 1.1 Ulf H. Danielsson, Gabriele Ferretti, Bo Sundborg (1996). "D particle dynamics and bound states". Int.J.Mod.Phys.A 11: 5463-5478. arXiv:hep-th/9603081. DOI:10.1142/S0217751X96002492.
- ↑ B. de Wit, J. Hoppe, H. Nicolai (1988). "On The Quantum Mechanics Of Supermembranes". Nucl. Phys. B 305. DOI:10.1016/0550-3213(88)90116-2.
- ↑ W. Taylor (2001). "M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory". Rev.Mod.Phys. 73: 419-462. arXiv:hep-th/0101126. DOI:10.1103/RevModPhys.73.419.
- ↑ J. Hoppe (2002). "Membranes and matrix models". arXiv:hep-th/0206192.
- ↑ de Wit, B.; Lüscher, M.; Nicolai, H. (1989). "The supermembrane is unstable". Nuclear Physics B 320: 135-159. DOI:10.1016/0550-3213(89)90214-9.
- ↑ J. Hoppe (1987). "Quantum Theory of a relativistic surface". Constraint's Theory and Relativistic Dynamics: Proceedings of the Workshop Held in Florence, Arcetri, Italy, May 28-30, 1986.
- ↑ T. Banks, W. Fischler, S.H. Shenker, L. Susskind (1997). "M Theory As A Matrix Model: A Conjecture". Phys.Rev.D 55: 5112-5128. arXiv:hep-th/9610043v3. DOI:10.1103/PhysRevD.55.5112.
