Diverse <Emphasis Type="Italic">N</Emphasis>=(4,4) Twisted Multiplets in the <Emphasis Type="Italic">N</Emphasis>=(2,2) Superspace |
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Authors: | E A Ivanov A O Sutulin |
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Institution: | (1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia |
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Abstract: | We describe four different types of N=(4, 4) twisted supermultiplets in the two-dimensional N=(2, 2) superspace ℝ(1,1|2,2). All these multiplets are represented by a pair of chiral and twisted chiral superfields and differ in the transformation
properties under an extra hidden N=(2, 2) supersymmetry. The sigma-model N=(2, 2) superfield Lagrangians for each type of
the N=(4, 4) twisted supermultiplet are real functions subjected to some differential constraints implied by the hidden supersymmetry.
We prove that the general sigma-model action including all types of N=(4, 4) twisted multiplets and invariant under the N=(4,
4) supersymmetry reduces to a sum of sigma-model actions for separate types. An interaction between the multiplets of different
sorts is possible only through the appropriate mass terms and only for those multiplets that belong to the same “self-dual”
pair.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 145, No. 1, pp. 66–86, October, 2005. |
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Keywords: | supersymmetric sigma models twisted supermultiplets harmonic superspace |
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