ar X iv : h ep - t h / 98 03 25 3 v 1 3 1 M ar 1 99 8 On realizations of nonlinear Lie algebras by differential operators and some physical applications
نویسندگان
چکیده
We study realizations of polynomial deformations of the sl(2, ℜ)-Lie algebra in terms of differential operators strongly related to bosonic operators. We also distinguish their finite-and infinite-dimensional representations. The linear, quadratic and cubic cases are explicitly visited but the method works for arbitrary degrees in the polynomial functions. Specific physical Hamiltonians are obtained and some of them are related to already known models. Stability equations about solitons available in a family of scalar field theories as well as super-symmetric Hamiltonians are also expressible in terms of our operators.
منابع مشابه
ar X iv : h ep - t h / 98 03 00 6 v 1 2 M ar 1 99 8 HYPERBOLIC KAC - MOODY ALGEBRA FROM INTERSECTING P - BRANES
A subclass of recently discovered class of solutions in multidimensional gravity with intersecting p-branes related to Lie algebras and governed by a set of harmonic functions is considered. This subclass in case of three Euclidean p-branes (one electric and two magnetic) contains a cosmological solution to D = 11 supergravity related to hyperbolic Kac-Moody algebra F 3 (of rank 3). This soluti...
متن کامل/ 98 03 25 3 v 2 1 7 D ec 1 99 8 On realizations of “ nonlinear ” Lie algebras by differential operators
We study realizations of polynomial deformations of the sl(2, ℜ)-Lie algebra in terms of differential operators strongly related to bosonic operators. We also distinguish their finite-and infinite-dimensional representations. The linear, quadratic and cubic cases are explicitly visited but the method works for arbitrary degrees in the polynomial functions. Multi-boson Hamiltonians are studied i...
متن کاملar X iv : h ep - t h / 98 03 04 9 v 1 5 M ar 1 99 8 BRX TH - 430 Born – Infeld – Einstein Actions ?
We present some obvious physical requirements on gravitational avatars of non-linear elec-trodynamics and illustrate them with explicit determinantal Born–Infeld–Einstein models. A related procedure, using compensating Weyl scalars, permits us to formulate conformally invariant versions of these systems as well. Born–Infeld (BI) electrodynamics [1] has earned its longevity through its elegant, ...
متن کاملar X iv : h ep - p h / 98 03 43 3 v 1 2 4 M ar 1 99 8 THEORETICAL STATUS OF THE B c MESON
Theoretical predictions on the B c meson properties are reviewed.
متن کاملar X iv : h ep - t h / 98 08 09 6 v 1 1 7 A ug 1 99 8 Wakimoto realizations of current and exchange algebras ∗
Working at the level of Poisson brackets, we describe the extension of the generalized Wakimoto realization of a simple Lie algebra valued current, J, to a corresponding realization of a group valued chiral primary field, b, that has diagonal monodromy and satisfies Kb ′ = Jb. The chiral WZNW field b is subject to a monodromy dependent exchange algebra, whose derivation is reviewed, too.
متن کامل