Complex structures, duality and WZW-models in extended superspace

Ivan T. Ivanov; Byungbae Kim; Martin Roček

doi:10.1016/0370-2693(94)01476-S

Complex structures, duality and WZW-models in extended superspace

Ivan T. Ivanov
, Byungbae Kim
, Martin Roček

Institute for Theoretical Physics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

55 Scopus citations

Abstract

We find the complex structure on the dual of a complex target space. For N = (2,2) systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is always integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of SU(2) × SU(2), and are led to a new N = 2 superspace formulation of the SU(2) × U(1) WZW-model.

Original language	English
Pages (from-to)	133-143
Number of pages	11
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	343
Issue number	1-4
DOIs	https://doi.org/10.1016/0370-2693(94)01476-S
State	Published - Jan 19 1995

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abstract = "We find the complex structure on the dual of a complex target space. For N = (2,2) systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is always integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of SU(2) × SU(2), and are led to a new N = 2 superspace formulation of the SU(2) × U(1) WZW-model.",

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AU - Kim, Byungbae

AU - Roček, Martin

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N2 - We find the complex structure on the dual of a complex target space. For N = (2,2) systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is always integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of SU(2) × SU(2), and are led to a new N = 2 superspace formulation of the SU(2) × U(1) WZW-model.

AB - We find the complex structure on the dual of a complex target space. For N = (2,2) systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is always integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of SU(2) × SU(2), and are led to a new N = 2 superspace formulation of the SU(2) × U(1) WZW-model.

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U2 - 10.1016/0370-2693(94)01476-S

DO - 10.1016/0370-2693(94)01476-S

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AN - SCOPUS:0001373572

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-4

ER -

Complex structures, duality and WZW-models in extended superspace

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