On a canonical form of a 3×3 Hermitian matrix over the ring of integral split octonions
✍ Scribed by Sergei Krutelevich
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 152 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
We show that a 3 × 3 Hermitian matrix over the ring of integral split octonions has a unique canonical diagonal form under the action of the group E 6,6 (Z). This confirms the conjecture of J. Maldacena, G. Moore, and A. Strominger [hep-th/9903163] on a standard form of a charge vector.
📜 SIMILAR VOLUMES
An exact formula for quanta1 expectation values associated with bound states in a general potential is derived. The formula does not contain wavefunctions, but is expressed in terms of derivatives, with respect to an auxiliary parameter and with respect to the energy, of a function appearing in an e