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|Title:||Point-splitting regularization in N = 2 superconformal field theory|
|Authors:||Baaquie, B.E. |
|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|
|Appears in Collections:||Staff Publications|
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