Non Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra

The construction of a q-deformed N=2 superconformal algebra is proposed in terms of level 1 currents of ${\cal{U}}_{q} ({\widehat{su}}(2))$ quantum affine Lie algebra and a single real Fermi field. In particular, it suggests the expression for the q-deformed Energy-Momentum tensor in the Sugawara form. Its constituents generate two isomorphic quadratic algebraic structures. The generalization to ${\cal{U}}_{q} ({\widehat{su}}(N+1))$ is also proposed.Comment: AMSLATEX, 21page

Hamiltonian Reduction and the Construction of q-Deformed Extensions of the Virasoro Algebra

In this paper we employ the construction of Dirac bracket for the remaining current of $sl(2)_q$ deformed Kac-Moody algebra when constraints similar to those connecting the $sl(2)$-WZW model and the Liouville theory are imposed and show that it satisfy the q-Virasoro algebra proposed by Frenkel and Reshetikhin. The crucial assumption considered in our calculation is the existence of a classical Poisson bracket algebra induced, in a consistent manner by the correspondence principle, mapping the quantum generators into commuting objects of classical nature preserving their algebra.Comment: 6 pages, late

Summary of The David Bohm's Work on The Centenary of his Birth

David Joseph Bohm was born on December 20, 1917, and obtained the doctorate in physics in 1943 from the University of California, Berkeley, under the guidance of R. Oppenheimer[1]. From 1946 he began teaching at Princeton University. He has published a series of articles on various physics topics, especially on plasma oscillations. He then wrote the book Quantum Theory considered to date a classic in the subject. In 1950 he was indicted and imprisoned for political reasons, and although acquitted in May 1951, Princeton University refused to renew his contract and he was exiled to Brazil. In 1954, David Bohm elaborated the work entitled A proposal for interpretation of quantum theory in terms of quothidden variablesquot(3), which sought a causal and objective description of quantum phenomena. In 1960 he enthusiastically discovered the thinking of the Indian Jiddu Krishnamurti, and from dialogues between them emerged interesting ideas in the area of the confluence of Physics with the mystical tradition