Projective modules over non-commutative tori: classification of modules with constant curvature connection
| dc.creator | Astashkevich, Alexander | |
| dc.creator | Schwarz, Albert | |
| dc.date | 1999-04-25 | |
| dc.date | 2000-04-27 | |
| dc.date.accessioned | 2026-07-07T05:28:49Z | |
| dc.date.available | 2026-07-07T05:28:49Z | |
| dc.description | We study finitely generated projective modules over noncommutative tori. We prove that for every module $E$ with constant curvature connection the corresponding element $[E]$ of the K-group is a generalized quadratic exponent and, conversely, for every positive generalized quadratic exponent $μ$ in the K-group one can find such a module $E$ with constant curvature connection that $[E] = μ$. In physical words we give necessary and sufficient conditions for existence of 1/2 BPS states in terms of topological numbers. | |
| dc.description | Latex. Misprints corrected | |
| dc.identifier | https://arxiv.org/abs/math/9904139 | |
| dc.identifier | http://arxiv.org/abs/math/9904139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78402 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Projective modules over non-commutative tori: classification of modules with constant curvature connection | |
| dc.type | text |