Published May 19, 2006
| Version v1
Journal article
Non-Abelian instantons on a fuzzy four-sphere
Creators
- 1. Dipartimento di Fisica, Polo Scientifico Universita di Firenze (Italy) and INFN, Sezione di Firenze, Via G Sansone 1, 50019 Sesto Fiorentino (Italy)
Description
We study the compatibility between the BPST SU(2) instanton and the fuzzy four-sphere algebra. By using the projective module point of view as an intermediate step, we are able to identify a noncommutative solution of the matrix model equations of motion which minimally extends the SU(2) instanton solution on the classical sphere S4. We also propose to extend the non-trivial second Chern class with the five-dimensional noncommutative Chern-Simons term
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/6069/a6_20_030.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/6069/a6_20_030.pdf;
- DOI
- 10.1088/0305-4470/39/20/030;
- PII
- S0305-4470(06)11811-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 20
- Journal Page Range
- p. 6069-6084
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051046
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; COMMUTATION RELATIONS; COMPATIBILITY; EQUATIONS OF MOTION; FUZZY LOGIC; INSTANTONS; MATHEMATICAL SOLUTIONS; SPHERES; SU-2 GROUPS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; LIE GROUPS; MATHEMATICAL LOGIC; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; SU GROUPS; SYMMETRY GROUPS