Duality without supersymmetry
| dc.creator | Fendley, Paul | |
| dc.date | 1998-04-16 | |
| dc.date | 1999-03-29 | |
| dc.date.accessioned | 2026-07-07T11:36:13Z | |
| dc.date.available | 2026-07-07T11:36:13Z | |
| dc.description | I show that physical quantities in several two-dimensional condensed-matter models are related to the Seiberg-Witten calculation of exact quantities in supersymmetric gauge theory. In particular, the magnetization in the Kondo problem and the current in the boundary sine-Gordon model can each be expressed in the form $\int dx/y$, where for example in the latter $y^2 = x + x^g - u^2$ with u related to the boundary mass scale (the analog of Λ_{QCD}) and g proportional to the radius of the boson squared. Thus for irrational g, the curve y(x) is of infinite genus, while for rational g it is of finite genus. The models are integrable and possess a quantum-group symmetry for any g, but are supersymmetric only at g=2/3. Both models also possess unique forms of g to 1/g duality. | |
| dc.description | 23 pages, 3 figures (published version) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9804108 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9804108 | |
| dc.identifier | Adv.Theor.Math.Phys.2:987-1009,1998 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198845 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Quantum Algebra | |
| dc.title | Duality without supersymmetry | |
| dc.type | text |