Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-15
Int.J.Mod.Phys. A18 (2003) 4747-4770
Physics
High Energy Physics
High Energy Physics - Theory
21 pages. Talk delivered in School and Workshop on Logarithmic Conformal Field Theory, Tehran, Iran, September 2001
Scientific paper
10.1142/S0217751X03016914
We show that logarithmic conformal field theories may be derived using nilpotent scale transformation. Using such nilpotent weights we derive properties of LCFT's, such as two and three point correlation functions solely from symmetry arguments. Singular vectors and the Kac determinant may also be obtained using these nilpotent variables, hence the structure of the four point functions can also be derived. This leads to non homogeneous hypergeometric functions. Also we consider LCFT's near a boundary. Constructing "superfields" using a nilpotent variable, we show that the superfield of conformal weight zero, composed of the identity and the pseudo identity is related to a superfield of conformal dimension two, which comprises of energy momentum tensor and its logarithmic partner. This device also allows us to derive the operator product expansion for logarithmic operators. Finally we discuss the AdS/LCFT correspondence and derive some correlation functions and a BRST symmetry.
Moghimi-Araghi Saman
Rouhani Shahin
Saadat Mehdi
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