| Автор | S. James Gates Jr. |
| Автор | Ahmed Jellal |
| Автор | El Hassan Saidi |
| Автор | Michael Schreiber |
| Дата выпуска | 2004-11-01 |
| dc.description | We develop a supersymmetric extension of the Susskind-Polychronakos matrix theory for the quantum Hall fluids. This is done by considering a system combining two sets of different particles and using both a component field method as well as world line superfields. Our construction yields a class of models for fractional quantum Hall systems with two phases U and D involving, respectively N<sub>1</sub> bosons and N<sub>2</sub> fermions. We build the corresponding supersymmetric matrix action, derive and solve the supersymmetric generalization of the Susskind-Polychronakos constraint equations. We show that the general U(N) gauge invariant solution for the ground state involves two configurations parameterized by the bosonic contribution k<sub>1</sub> (integer) and in addition a new degree of freedom k<sub>2</sub>, which is restricted to 0 and 1. We study in detail the two particular values of k<sub>2</sub> and show that the classical (Susskind) filling factor ν receives no quantum correction. We conclude that the Polychronakos effect is exactly compensated by the opposite fermionic contributions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Supersymmetric embedding of the quantum hall matrix model |
| Тип | paper |
| DOI | 10.1088/1126-6708/2004/11/075 |
| Electronic ISSN | 1029- 8479 |
| Print ISSN | 1126-6708 |
| Журнал | Journal of High Energy Physics |
| Том | 2004 |
| Первая страница | 75 |
| Последняя страница | 075 |
| Выпуск | 11 |
