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Title: Point-splitting regularization in N = 2 superconformal field theory
Authors: Baaquie, B.E. 
Yim, K.K.
Issue Date: 10-Aug-1999
Source: Baaquie, B.E.,Yim, K.K. (1999-08-10). Point-splitting regularization in N = 2 superconformal field theory. International Journal of Modern Physics A 14 (20) : 3207-3237. ScholarBank@NUS Repository.
Abstract: In this paper, the method of point-splitting regularization is applied on the N = 2 superconformal field theory, specifically the superconformal coset model formulated by Kazama and Suzuki. We obtain the correct central extensions for the N = 2 superconformal algebra after many nontrivial cancellations among the various singular expressions. This shows the consistency of the point-splitting method in an N = 2 superconformal system. In the process, we arrive at the Kazama-Suzuki conditions which govern the existence of an N = 2 superconformal coset model in the N = 1 coset model. In addition, we obtain a number of mathematical relations between the structure constants and the complex structure of the model, which allow us to simplify the U(1) current of the N = 2 superconformal algebra. In the course of our analysis, we found that, at least in a two dimension conformal field theory, the operator product expansion of a composite current must be written in a way which conveys all the information of the commutator equations.
Source Title: International Journal of Modern Physics A
ISSN: 0217751X
Appears in Collections:Staff Publications

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