N=2 Conformal Supergravity from Twistor-String Theory

Details N=2 Conformal Supergravity from Twistor-String Theory N=2 Conformal Supergravity from Twistor-String Theory

2004-12-17

arxiv.org/abs/hep-th/0412202v2

Int.J.Mod.Phys. A21 (2006) 3733-3760

Physics

High Energy Physics

High Energy Physics - Theory

30pp; Added the footnotes 1 and 5

Scientific paper

A chiral superfield strength in N=2 conformal supergravity at linearized level is obtained by acting two superspace derivatives on N=4 chiral superfield strength which can be described in terms of N=4 twistor superfields. By decomposing SU(4)_R representation of N=4 twistor superfields into the SU(2)_R representation with an invariant U(1)_R charge, the surviving N=2 twistor superfields contain the physical states of N=2 conformal supergravity. These N=2 twistor superfields are functions of homogeneous coordinates of weighted complex projective space WCP^{3|4} where the two weighted fermionic coordinates have weight -1 and 3.

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