Search

We investigate a class of matrix model which describes the dynamics of identical particles in even-dimensional space. We show that the degrees of freedom after some constraints are implemented is proportional to particle number and consist of those for positions and internal degrees. The particle dynamics is given by the metric on the smooth moduli space. The moduli space metric for two particles is found. The size of tightly packed N particles grows like √ of N. Our matrix model is related to the matrix model for fractional quantum Hall effect, the ADHM formalism of U(1) instantons on noncommutative space, and supersymmetric D0 branes on D6 branes with nonzero B-field in type IIA theory. [Copyright &y& Elsevier]

We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N=1 supersymmetry. The resulting massless goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact S-matrix of the goldstino and compare associated thermodynamic Bethe ansatz equations with the quantization conditions derived from the reflection amplitudes of the super-Liouville theory to provide nonperturbative checks for both the (NS) and the (R) sectors. [Copyright &y& Elsevier]