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Paper   IPM / Physic / 7931
  Title:   Connection Between N=4 Superconformal Algebra with D(2/1;α) in Zero Mode
  Author(s):  J. Sadeghi
  Status:   In Proceedings
  Proceeding: Proceedings of XI Regional Conference on Mathematical Physics, 3-6 May 2004, p148-150, Tehran, Iran
  Year:  2004
  Pages:   148-150
  Supported by:  IPM
Recently, conformal algebras with extended wupersymmetry have attracted a lot of attention. These algebras have a basic importance in analysis of algebraic structure of varieties of string theories and are also relevant to the description of critical properties of some statistical models. The character formula for some of unitary representation in case of N=4 have been derived long time ago, and shown that there are two representations which are massive and massless for R and NS sector. The partition function from N=4 algebra has a connection with sl(2|1;C) subalgebra of D(2|1;α). So in this talk, we investigate the representation of N=4 and D(2|1;α) and also we show that they have deep relation to zeto mode. In order to relate the representation algebras, we must first obtain the generators of D(2|1;α) in general mode, and then compare with N=4 superconformal algebra in zero mode. We also discuss the character formula in these two algebras.

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