Solitons and giants in matrix models
@article{Andri2006SolitonsAG, title={Solitons and giants in matrix models}, author={Ivan Andri{\'c} and Larisa Jonke and Danijel Jurman}, journal={Journal of High Energy Physics}, year={2006}, volume={2006}, pages={006-006} }
We present a method for solving BPS equations obtained in the collective-field approach to matrix models. The method enables us to find BPS solutions and quantum excitations around these solutions in the one-matrix model, and in general for the Calogero model. These semiclassical solutions correspond to giant gravitons described by matrix models obtained in the framework of AdS/CFT correspondence. The two-field model, associated with two types of giant gravitons, is investigated. In this…
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References
SHOWING 1-10 OF 56 REFERENCES
Solitons and excitations in the duality-based matrix model
- Physics
- 2005
We analyse a specific, duality-based generalization of the hermitean matrix model. The existence of two collective fields enables us to describe specific excitations of the hermitean matrix model. By…
Waves and solitons in the continuum limit of the Calogero-Sutherland model.
- PhysicsPhysical review letters
- 1995
The generic wave is shown to correspond to a two-band state in the quantum description of the system, while the limiting cases of solitons and phonons correspond to particle and hole excitations.
A toy model for the AdS/CFT correspondence
- Physics
- 2004
We study the large-N gauged quantum mecchanics for a single hermitean matrix in the Harmonic oscillator potential well as a toy model for the AdS/CFT correspondence. We argue that the dual geometry…
Strings from Tachyons
- Physics
- 2003
We propose a new interpretation of the c=1 matrix model as the world-line theory of N unstable D-particles, in which the hermitian matrix is provided by the non- abelian open string tachyon. For…
Two-dimensional unoriented strings and matrix models
- Physics
- 2004
We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP2 worldsheet which…
Giant gravitons in AdS/CFT (I): matrix model and back reaction
- Physics
- 2004
In this article we study giant gravitons in the framework of AdS/CFT correspondence. First, we show how to describe these configurations in the CFT side using a matrix model. In this picture, giant…
Multi-vortex solution in the Sutherland model
- Physics
- 1997
We consider the large-N Sutherland model in the Hamiltonian collective-field approach based on the 1/N expansion. The Bogomol'nyi limit appears and the corresponding solutions are given by…
Notes on collective field theory of matrix and spin Calogero models
- Physics
- 2006
Matrix models and related Spin-Calogero-Sutherland models are of major relevance in a variety of subjects, ranging from condensed matter physics to QCD and low dimensional string theory. They are…