Extended conformal algebra with N = 2 supersymmetry

Journal Article · Mon Dec 10 04:00:00 EST 1990 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X90001860· OSTI ID:5736049

Inami, T ^[1]; Matsuoi, Y ^[2]; Yamanaka, I ^[3]

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1. Research Inst. for Fundamental Physics, Kyoto Univ., Kyoto 606 (JP)
2. Serin Physics Lab., Rutgers Univ., Piscataway, NJ (US)
3. Physics Dept., Univ. of California, Davis, CA (US)

This paper constructs N = 2 supersymmetric extension of Zamolodchikov's W algebra. The generators of this extended conformal algebra consist of the stress-tensor superfield and a pair of chiral currents {Phi}{sup +}{sub {Delta}} of integer or half-integer spin {Delta} and opposite U(1) charges {plus minus}{tau}. The algorithm for deriving the operator product algebra {Phi}{sup +}{sub {Delta}} {Phi}{sup {minus}}{sub {Delta}} is given for general {Delta} and the algebra is worked out explicitly for {Delta} = 3/2. The N = 2 super-W algebra has an interesting feature not shared by other conformal algebras, i.e. it has two types of algebra - short and long algebras.

• OSTI ID: 5736049
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 5:23; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

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