| M. Flohr, hep-th/9606130 |
....7 log k (26) In summing up we observe that the imposition of the Alf ven effect greatly narrows the choice for candidate CFT s. From an infinte number of candidates with h 6= h OE , we end up with just one candidate with h = h OE . After this work was finished we recived a preprint by Flohr [23], where a similar calculation has been carried out. It is transparent that other solutions using tesor products may be obtained. However we believe that integer powers in eq. 26) are not obligatory, thus the simplest solution is the one presented here. ....
M. Flohr, hep-th/9606130
....[3] percolation [4] edge excitation in fractional quantum Hall effect [5] one can naturally find such operators. Recently the role of such operators has been considered in study of some physical problems such as: 2D magnetohydrodynamic turbulence [6, 7, 8] 2D turbulence [9, 10] c p;1 models [11, 19], gravitationally dressed CFT s [12, 13] and some critical disordered models [15, 16] They play a role in the so called unifing W algebra [17] and in the description of normalizable zero modes for string backgrounds [14, 18] The basic properties of logarithmic operators are that, they form a ....
....a logarithmic singularity. It has been shown that in rational minimal models such a situation, i.e. two fields with the same dimensions, doesn t occur [7] The modular invariant partition functions for c eff = 1 and the fusion rules of logarithmic conformal field theories (LCFT) are considered in [19, 20]. In this paper, we study the correlation functions of logarithmic conformal field theories (LCFT s) Assuming conformal invariance, we obtain all two and three point functions. The key observation in this point is that, one can regard logarithmic fields formally as the derivative of ordinary ....
M.A.I. Flohr, hep-th/9509166
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