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A NOTE ABOUT FERMIONIC EQUATIONS OF AdS_4 x CP^3 SUPERSTRING // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 164-169

It is proved that when 8 fermions associated with the supersymmetries broken by the AdS4 x CP3 superbackground are gauged away by using the k-symmetry corresponding equations obtained by variation of the AdS4 x CP3 superstring action are contained in the set of fermionic equations of the OSp(4j6)=(SO(1; 3) x U(3)) sigma-model.

Keywords: AdS4 x CP3 superstring, OSp(4j6)=(SO(1; 3) x U(3)) sigma-model, osp(4j6) superalgebra, equations of motion

INFINITE-DIMENSIONAL SYMMETRIES OF THE TWISTOR STRING MODELS // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 249-253

It is shown that similarly to massless superparticle models, space-time symmetry of the classical action of the Berkovits twistor string is infinite-dimensional. Its superalgebra contains finite-dimensional subalgebra that includes the generators of psl(4|4, R) superalgebra. In quantum theory this infinite-dimensional symmetry breaks down to SL(4|4, R) one.

Keywords: supertwistor, twistor string, infinite-dimensional symmetry, anomaly