The algebras of large N matrix mechanics
Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and supersymmetric matrix models, including Matrix theory: The Hamiltonian framework of large N matrix mechanics provides a natural setting in which to study the algebras of the large N limit, including (reduced) Lie algebras, (reduced) supersymmetry algebras and free algebras. We find in particular a broad array of new free algebras which we call symmetric Cuntz algebras, interacting symmetric Cuntz algebras, symmetric Bose/Fermi/Cuntz algebras and symmetric Cuntz superalgebras, and we discuss the role of these algebras in solving the large N theory. Most important, the interacting Cuntz algebras are associated to a set of new (hidden!) local quantities which are generically conserved only at large N. A number of other new large N phenomena are also observed, including the intrinsic nonlocality of the (reduced) trace class operators of the theory and a closely related large N field identification phenomenon which is associated to another set (this time nonlocal) of new conserved quantities at large N.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Director. Office of Energy Research. Office of Basic Energy Sciences; National Science Foundation Grant PHY-95-14797 (US)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 836360
- Report Number(s):
- LBNL-42212; R&D Project: PTHOPS; TRN: US0500565
- Journal Information:
- Inaternational Journal of Modern Physics A, Vol. 14, Issue 19; Other Information: Submitted to International Journal of Modern Physics A: Volume 14, No.19; Journal Publication Date: 07/30/1999; PBD: 16 Sep 1999
- Country of Publication:
- United States
- Language:
- English
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