We discuss the role of singletons and logarithmic operators in AdS 3 string theory in the context of AdS 3 /CF T 2 correspondence.

We study the cohomology arising in the BRST formulation of G/H gauged WZNW models, i.e. in which the states of the gauged theory are projected out from the ungauged one by means of a BRST condition. We will derive for a general simple group H with arbitrary level, conditions for which the cohomology is non-trivial. We show, by introducing a small perturbation due to Jantzen, in the highest weig...

We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole. e-mail: [email protected] e-mail: a.lewis1@...

It is known from a work of Feigin and Frenkel that a Wakimoto type, generalized free field realization of the current algebra Ĝk can be associated with each parabolic subalgebra P = (G0+G+) of the Lie algebra G, where in the standard case G0 is the Cartan and P is the Borel subalgebra. In this letter we obtain an explicit formula for the Wakimoto realization in the general case. Using Hamiltoni...

The chiral WZNW symplectic form Ω ρ chir is inverted in the general case. Thereby a precise relationship between the arbitrary monodromy dependent 2-form appearing in Ω ρ chir and the exchange r-matrix that governs the Poisson brackets of the group valued chiral fields is established. The exchange r-matrices are shown to satisfy a new dynamical generalization of the classical modified Yang-Baxt...

We show that the SU(2)0 WZNW model has a hidden OSp(2|2)−2 symmetry. Both these theories are known to have logarithms in their correlation functions. We also show that, like OSp(2|2)−2, the logarithmic structure present in the SU(2)0 model is due to the underlying c = −2 sector. This leads us to conjecture that the continuous representation of SU(2) can be produced by the fusion of several disc...

Summation over hard thermal loops, by themselves and as insertions in higher order Feynman diagrams, is important in thermal perturbation theory for Quantum Chromodynamics, so that all contributions of a given order in the coupling constant can be consistently taken into account. I review some of the basic properties of hard thermal loops and how the generating functional for them is related to...