The gl(1|1) super-current algebra: the role of twist and logarithmic fields
| dc.creator | LeClair, André | |
| dc.date | 2007-10-16 | |
| dc.date.accessioned | 2026-07-07T10:00:48Z | |
| dc.date.available | 2026-07-07T10:00:48Z | |
| dc.description | A free field representation of the gl(1|1)_k current algebra at arbitrary level k is given in terms of two scalar fields and a symplectic fermion. The primary fields for all representations are explicitly constructed using the twist and logarithmic fields in the symplectic fermion sector. A closed operator algebra is described at integer level k. Using a new super spin charge separation involving gl(1|1)_N and su(N)_0, we describe how the gl(1|1)_N current algebra can describe a non-trivial critical point of disordered Dirac fermions. Local gl(1|1) invariant lagrangians are defined which generalize the Liouville and sine-Gordon theories. We apply these new tools to the spin quantum Hall transition and show that it can be described as a logarithmic perturbation of the osp(2|2)_k current algebra at k=-2. | |
| dc.identifier | https://arxiv.org/abs/0710.2906 | |
| dc.identifier | http://arxiv.org/abs/0710.2906 | |
| dc.identifier | Adv. Theor. Math. Phys. (13) 2009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168431 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | The gl(1|1) super-current algebra: the role of twist and logarithmic fields | |
| dc.type | text |