120658214
Minimal models of U(1) conformal current algebra
A detailed study of the degenerate representations of the U(1)×U(1) conformal current algebra and field‐theoretical models based on it is presented. The main peculiarity of these models is that they contain an infinite set of fields with unfixed anomalous dimensions. Simple fusion rules for these fields are found, and their four‐point functions are calculated explicitly. The case of Thirring‐like two‐dimensional models is discussed in detail.
12289422
Non-critical string pentagon equations and their solutions
We derive pentagon-type relations for the three-point boundary tachyon correlation functions in the non-critical open string theory with generic cmatter < 1 and study their solutions in the case of Fateev–Zamolodchikov–Zamolodchikov branes. A new general formula for the Liouville boundary three-point factor corresponding to degenerate matter is derived.
118403927
Singular vector of W algebras via DS reduction of A2(1)
The BRST quantisation of the Drinfeld-Sokolov reduction applied to the case of A2(1) is explored to construct in an unified and systematic way the general singular vectors in W3 and W3(2) Verma modules. The construction relies on the use of proper quantum analoques of the classic DS gauge fixing transformations. Furthermore the stability groups W(gh) of the highest weights of the W Verma modules play an important role in the proof of the BRST equivalence of the Malikov-Feigin-Fuks singular vectors and the W algebra ones. The resulting singulary vectors are essentially classified by the affine Weyl group W modulo Wη. This is a detailed presentation of the results announced in a recent of theauthors.
16434321
Operator realization of the SU(2) WZNW model
Decoupling the chiral dynamics in the canonical approach to the WZNW model requires an extended phase space that includes left and right monodromy variables M and M. Earlier work on the subject, which traced back the quantum group symmetry of the model to the Lie-Poisson symmetry of the chiral symplectic form, left some open questions: 
• 
- How to reconcile the necessity to set MM−1 = 1 (in order to recover the monodromy invariance of the local 2D group valued field g = uu) with the fact the M and M obey different exchange relations? 
 
• 
- What is the status of the quantum symmetry in the 2D theory in which the chiral fields u(x−t) and u(x + t) commute? 
 
• 
- Is there a consistent operator formalism in the chiral (and the extended 2D) theory in the continuum limit? 
 
 
 
 
We propose a constructive affirmative answer to these questions for G = SU(2) by presenting the quantum fields u and u as sums of products of chiral vertex operators and q-Bose creation and annihilation operators.
125161041
Weyl Fields as a Basis for Unitary Symmetry
120683606
Exchange relations and correlation functions for a quantum particle on the SU2 group manifold
The SO4 invariant quantum dynamics of a point particle moving on the 3 sphere (or equivalently, of the relative motion of the spherical top) is considered. Quantum exchange relations for different times are derived with an ‘‘R matrix’’ depending on the time difference and on the conserved angular momentum. Their implications for correlation functions are spelled out. The chiral exchange relations of Alekseev and Faddeev [Commun. Math. Phys. 141, 413–422 (1991)] are also extended to different times.
199514134
SURVEY AND ALIGNMENT FOR THE SYNCHROTRON LIGHT SOURCE ELETTRA
ELETTRA is a third generation light Source currently under construction in Trieste, Italy, which will be commissioned in 1993. As a high brilliance machine, ELETTRA is designed for extremely small emittance, which causes a high sensitivity to alignment errors. First results and the general alignment method, as well as the instruments, survey tools and applied software, are described.