| A.G. Bytsko, V. Schomerus. Vertex operators -- from a toy model to lattice algebras. q-alg/9611010; Commun. Math. Phys. 191 (1998) 87-136. |
.... chiral vertex operators (CVO) which are characterized essentially by the currents degrees of freedom with zero mode coefficients that are independent of the world sheet coordinate [15, 16, 13, 14] Such a type of quantum theory has been studied in the framework of lattice current algebras (see [8, 9, 10, 17, 18] and references therein) and has not been brought to a form yielding a satisfactory continuum limit . The direct investigation of the quantum model [13, 14, 1] has singled out a nontrivial gauge theory problem. This problem has been tackled in two steps [19, 20] in terms of a generalization of the ....
A.G. Bytsko, V. Schomerus. Vertex operators -- from a toy model to lattice algebras. q-alg/9611010; Commun. Math. Phys. 191 (1998) 87-136.
....in [3] see also [12] has been displayed in [5] for the sl(2) case and in [13] for an arbitrary simple Lie algebra. The quantum R(p) is central to a continuing study [4] of q deformed cotangent bundles on group manifolds and quantum model spaces. A quasi Hopf algebraic point of view is taken in [14, 15] where R(p) is obtained by a Drinfeld twist of the constant R matrix. Felder [16] explores the more general case of (classical and) QDYBE depending on a spectral parameter and finds elliptic solutions of this equation. These solutions are applied in [17] to quantize Calogero Moser and ....
A.G. Bytsko and V. Schomerus, Vertex operators -- from a toy model to lattice algebras, q-alg/9611010.
....[SzV] have proposed an amplified version of the DHR theory, which also applies to locally finite dimensional lattice models. This setting has been further developed 1 see [BaWi] BL] G] DPR] FGV] FrKe] MS1,2] MoRe] Mu] PSa1] ReSm] Sz,V] 2 see [AFFS] AFSV] AFS] [ByS], Fa] FG] KaS] NSz1,2] P] PSa2] SzV] by [NSz1,2] where based on the example of Hopf spin chains the authors proposed the notion of a universal localized cosymmetry ae : A A Omega G, incorporating all sectors ae I of A via ae I = id A Omega I ) ffi ae; I 2 Rep G. In the ....
A.G. Bytsko, V. Schomerus, Vertex Operators - From a toy model to lattice algebras, qalg /9611010.
....Proposition 8 The GNS representation arising from the state : KN C is unitarily equivalent to the diagonal representation L I W II N of the lattice current algebra. The quantum lattice analog of the group valued local fields of the WZNW model act in this diagonal representation [2, 8]. 4 Product of Representations All continuous current algebras are equipped with a trivial co product which can be written for Fourier modes of currents j(n) as Delta(j (n) j(n) Omega 1 1 Omega j(n) 4.4) From the point of view of CFT this co product is not satisfactory, because it ....
A.Bytsko, V.Schomerus, Vertex operators - from a toy model to lattice algebras, q-alg/9611010
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