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LANDAU MODELS WITH BOTH WORLDLINE AND TARGET SUPERSYMMETRIES: N = 2 AND N = 4 EXAMPLES // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 70-75

We present a synopsis of superextended Landau models possessing both worldline supersymmetry and graded internal symmetry acting in the target space. The main focus is on the recently constructed model with the worldline N = 4 supersymmetry and the target ISU(2|2) symmetry.

Keywords: supersymmetry, Landau levels, superspace

AUXILIARY SUPERFIELDS IN N = 2 BORN-INFELD THEORY // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 103-108

Some time ago the authors proposed a new approach to self-dual electrodynamics and its superextensions, based on introducing auxiliary (super)fields which ensure linearization of the duality transformations. In the talk this universal method is applied for analysis of the self-duality properties of the N = 2 Born-Infeld (BI) action with the nonlinearly realized “hidden” N = 4 supersymmetry. Its self-duality is proved up to the 10th order in the superfield strengths. The conjecture about the general structure of the N = 2 BI action modified by the auxiliary chiral superfields is put forward.

Keywords: supersymmetry, duality, superfield