Quasicomplex N=2, d=1 Supersymmetric Sigma Models - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Symmetry, Integrability and Geometry : Methods and Applications Year : 2013

Quasicomplex N=2, d=1 Supersymmetric Sigma Models

E.A. Ivanov
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A.V. Smilga
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Abstract

We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non-symmetric Hermitian metric. These models are not equivalent to the standard de Rham sigma models, but are related to them through a certain special similarity transformation of the supercharges. On the other hand, they can be obtained by a Hamiltonian reduction from the complex supersymmetric N=2 sigma models built on the multiplets (2,2,0) and describing the Dolbeault complex on the manifolds with proper isometries. We study in detail the extremal two-dimensional case, when the target space metric is defined solely by the antisymmetric tensor, and show that the corresponding quantum systems reveal a hidden N=4 supersymmetry.

Dates and versions

in2p3-00919917 , version 1 (17-12-2013)

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Cite

E.A. Ivanov, A.V. Smilga. Quasicomplex N=2, d=1 Supersymmetric Sigma Models. Symmetry, Integrability and Geometry : Methods and Applications, 2013, 9, pp.069. ⟨10.3842/SIGMA.2013.069⟩. ⟨in2p3-00919917⟩
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