Current Oscillations , Interacting Hall Discs and Boundary CFTs
نویسندگان
چکیده
In this paper, we discuss the behavior of conformal field theories interacting at a single point. The edge states of the Quantum Hall Effect (Q.H.E) system give rise to a particular representation of a chiral Kac-Moody current algebra. We show that in the case of Q.H.E systems interacting at one point we obtain a “twisted” representation of the current algebra. The condition for stationarity of currents is the same as the classical Kirchoff’s law applied to the currents at the interaction point. We find that in the case of two discs touching at one point, since the currents are chiral, they are not stationary and one obtains current oscillations between the two discs. We determine [email protected] [email protected] [email protected] [email protected] [email protected]
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