Logarithmic conformal field theory can be obtained using nilpotent weights. Using such scale transformations various properties of the theory were derived. The derivation of four point function needs a knowledge of singular vectors which is derived by including nilpotent variables into the Kac determinant. This leads to inhomogeneous hypergeometric functions. Finally we consider the theory near a boundary and also introduce the concept of superfields where a multiplet of conformal fields are dealt with together. This leads to the OPE of superfields and a logarithmic partner for the energy momentum tensor.
S. Rouhani, , M. Saadat, & Moghimi-Araghi, . (2020). Nilpotent weights in conformal field theory. Iranian Journal of Physics Research, 3(1), 51–58.
MLA
S. Rouhani, , M. Saadat, & Moghimi-Araghi, . "Nilpotent weights in conformal field theory", Iranian Journal of Physics Research, 3, 1, 2020, 51–58.
HARVARD
S. Rouhani, , M. Saadat, & Moghimi-Araghi, . (2020). 'Nilpotent weights in conformal field theory', Iranian Journal of Physics Research, 3(1), pp. 51–58.
CHICAGO
S. Rouhani, , M. Saadat, & Moghimi-Araghi, , "Nilpotent weights in conformal field theory." Iranian Journal of Physics Research, 3 1 (2020): 51–58,
VANCOUVER
S. Rouhani , M. Saadat , Moghimi-Araghi . Nilpotent weights in conformal field theory. Iranian Journal of Physics Research. 2020;3(1):51–58 (In Persian).
