N = 2 conformal supergravity from twistor-string theory

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Abstract

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 WCP3|4 where the two weighted fermionic coordinates have weight -1 and 3.

Original languageEnglish
Pages (from-to)3733-3759
Number of pages27
JournalInternational Journal of Modern Physics A
Volume21
Issue number18
DOIs
StatePublished - 20 Jul 2006

Keywords

  • Conformal supergravity
  • String theory
  • Twistor space
  • Weighted projective space

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