On the supersymmetric solutions of D=3 half-maximal supergravities

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DEĞER N. S., Samtleben H., SARIOĞLU B. Ö.

NUCLEAR PHYSICS B, cilt.840, ss.29-53, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 840
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.nuclphysb.2010.06.020
  • Dergi Adı: NUCLEAR PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.29-53
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N = 8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a technique originally developed and applied in higher dimensions. This reveals an intriguing interplay with the scalar target space geometry SO(8, n)/(SO(8) x SO(n)). Another interesting feature of the three-dimensional case is the implementation of the duality between vector and scalar fields in this framework. For the ungauged theory with timelike Killing vector, we explicitly determine the scalar current and show that its integrability relation reduces to a covariant holomorphicity equation, for which we present a number of explicit solutions. For the case of a null Killing vector, we give the most general solution which is of pp-wave type. (C) 2010 Elsevier B.V. All rights reserved.