共查询到20条相似文献,搜索用时 15 毫秒
1.
Denis Bernard 《Letters in Mathematical Physics》1989,17(3):239-245
We construct the level one vertex operator representations of the q-deformation U
q(B
r
(1)
) of the affine Kac-Moody algebra B
r
(1)
. Beside the q-deformed vertex operators introduced by Frenkel and Jing, this construction involves a q-deformation of free fermionic fields. 相似文献
2.
We discuss the problem of the choice of test functions in gauge quantum field theories. Analysis of explicitly soluble models suggests that the test function spaces which are suitable for local and covariant formulation of gauge theories are the Gelfand and Shilov spaces
, +>1. We also discuss a possible generalization of the spectral condition. 相似文献
3.
Shahn Majid 《Letters in Mathematical Physics》1991,22(2):83-90
We show that every topological quantum field theory (understood as a functor) has an associated quasi-quantum group of internal symmetries. 相似文献
4.
We consider Wightman fields having the property that some closed extensions of the field operators generate locally commuting von Neumann algebras. We show that for such fields the hermitian field operators have self-adjoint extensions, possibly in an enlarged Hilbert space, such that bounded functions of the self-adjoint operators commute locally. 相似文献
5.
The structure of block-spin embeddings of the U(1) lattice current algebra is described and the inner realizations of the shift automorphism are classified for an odd number of lattice sites. We present a particular inner shift operator which admits a factorization involving quantum dilogarithms analogous to the results of Faddeev and Volkov.On leave of absence from Steklov Mathematical Institute, St. Petersburg, Russia. 相似文献
6.
Shahn Majid 《Letters in Mathematical Physics》1991,22(3):167-175
We introduce the notion of a braided group. This is analogous to a supergroup with Bose-Fermi statistics ±1 replaced by braid statistics. We show that every algebraic quantum field theory in two dimensions leads to a braided group of internal symmetries. Every quantum group can be viewed as a braided group. 相似文献
7.
The connection between Witten's topological three-dimensional gauge theory and RCFTs provides a natural setting to study the interplay between surface diffeomorphisms and intertwining of Wilson loops. These considerations lead directly to constraints on RFCTs including those previously derived by Vafa. 相似文献
8.
Guy Rideau 《Letters in Mathematical Physics》1992,24(2):147-153
It is shown that for q<1, the quantum oscillator algebra has a supplementary family of representations inequivalent to the usual q-Fock representation, with no counterpart at the limit q=1. They are used to build representations of SU
q
(1,1) and E(2) in Schwinger's way. 相似文献
9.
Bernhard Drabant Branislav Jurčo Michael Schlieker Wolfgang Weich Bruno Zumino 《Letters in Mathematical Physics》1992,26(2):91-96
We derive the equivalence of the complex quantum enveloping algebra and the algebra of complex quantum vector fields for the Lie algebra types A
n
, B
n
, C
n
, and D
n
by factorizing the vector fields uniquely into a triangular and a unitary part and identifying them with the corresponding elements of the algebra of regular functionals.Humboldt Fellow. 相似文献
10.
R. Schumann 《Letters in Mathematical Physics》1996,37(3):249-271
We consider analytic properties of a class of dynamical systems which are defined by the action of certain homomorphism groups on von Neumann algebras if restricted to subalgebras. In particular, the analyticity of nuclear maps in the nuclear norm is shown. Furthermore, the statistical independence will be derived from nuclearity conditions. These results give new insight in the statistical independence of commuting algebras.This paper is a result of a collaboration with H. J. Borchers. 相似文献
11.
N. P. Landsman 《Letters in Mathematical Physics》1990,20(1):11-18
Concepts from the theory of abstract operator algebras are used to solve the problem of quantizing a particle moving on an arbitrary locally compact homogeneous space. Inequivalent quantizations are identified with inequivalent irreducible representations of the corresponding C
*-algebra. Topological terms in the action (or Hamiltonian) are found to be representation-dependent, and are automatically induced by the quantization procedure. Known charge quantization conditions turn out to be identically satisfied. Several examples are considered, among them the Dirac monopole and the Aharonov-Bohm effect. 相似文献
12.
Generalized nuclearity conditions that are applicable in arbitrary superselection sectors of a quantum field theory and to theories with a maximal temperature are discussed. They are shown to imply the (distal) split property and to impose specific restrictions on the spectral properties of modular operators associated with local algebras and vectors of compact energy support. 相似文献
13.
S. C. Lim 《Letters in Mathematical Physics》1990,19(2):115-120
The stochastic quantisation method of Nelson can be applied to quantise an Abelian gauge field in the spatial axial gauge. 相似文献
14.
By generalizing De Concini and Kac's cyclic representation theory of quantum groups at roots of unity, the cyclic representations of the quantum superalgebra U
q
osp(2, 1) are constructed in three classes: irreducible representations with single multiplicities, irreducible representations with the multiplicities larger than one, and indecomposable representations.This work is supported in part by the National Sciene Foundation in China. 相似文献
15.
We consider the conditions under which the q-oscillator algebra becomes a Hopf *-algebra. In particular, we show that there are at least two real forms associated with the algebra. Furthermore, through the representations, it is shown that they are related to su
q1/2(2) with different conjugations. 相似文献
16.
A quantum analogue of the simplest superalgebra osp(2 | 1) and its finite-dimensional, irreducible representations are found. The corresponding constant solution to the Yang-Baxter equation is constructed and is used to formulate the Hopf superalgebra of functions on the quantum supergroup OSp(2 | 1). 相似文献
17.
A recent result by Borchers connecting geometric modular action, modular inclusion and spectrum condition, is applied in quantum field theory on spacetimes with a bifurcate Killing horizon (these are generalizations of black-hole spacetimes, comprising the familiar black-hole spacetime models). Within this framework, we give sufficient, model-independent conditions ensuring that the temperature of thermal equilibrium quantum states is the Hawking temperature. 相似文献
18.
Christian D. Jäkel 《Letters in Mathematical Physics》1991,21(4):343-350
Asymptotic triviality of the Møller operators is shown for fermions interacting via nonlocal pair-potentials with a momentum cut-off. Such systems have stable Hamiltonians, defining the time evolution in the Heisenberg representation, and strong mixing properties. 相似文献
19.
O. Ogievetsky 《Letters in Mathematical Physics》1992,24(3):245-255
We prove that the rings of q-differential operators on quantum planes of the GL
q
(n) and SO
q
(n) types are isomorphic to the rings of classical differential operators. Also, we construct decompositions of the rings of q-differential operators into tensor products of the rings of q-differential operators with less variables. 相似文献
20.
We formulate a conjecture stating that the algebra ofn pairs of deformed Bose creation and annihilation operators is a factor algebra of U
q
[osp(1/2n)], considered as a Hopf algebra, and prove it for then = 2 case. To this end, we show that for any value ofq, U
q
[osp(1/4)] can be viewed as a superalgebra freely generated by two pairsB
1
±
,B
2
±
of deformed para-Bose operators. We write down all Hopf algebra relations, an analogue of the Cartan-Weyl basis, the commutation relations between the generators and a basis in U
q
[osp(1/2n)] entirely in terms ofB
1
±
,B
2
±
. 相似文献