In this paper, OPEs among non-linear fields using the relationship between linear and non-linear fields in the large N=4 super conformal W∞ algebra are calculated. According to the calculation, it is shown that the result has simple form by eliminating unnecessary terms appeared in OPEs among original linear fields. Moreover, it is confirmed that the large N=4 super conformal W∞ has closed algebra structure based on the results of the OPE calculation between non-linear fields extracting only non-linear components.
Thesis Advisor: Prof. Changhyun Ahn