Self-duality of Green-Schwarz sigma-models

Amit Dekel*, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

We study fermionic T-duality symmetries of integrable Green-Schwarz sigma-models on Anti-de-Sitter backgrounds with Ramond-Ramond fluxes, constructed as ℤ4 supercosets of superconformal algebras. We find three algebraic conditions that guarantee self-duality of the backgrounds under fermionic T-duality, we classify those that satisfy them and construct the map of the monodromy matrix. We introduce new T-duality directions, where some of them contain no bosonic directions, along which the backgrounds are self-dual. We find that the only self-dual backgrounds are AdSn ×Sn for n = 2,3,5. In addition we find that the backgrounds AdSn ×S1 for n = 2,3,5, AdS4 ×S2 and AdS2 ×S4 are self-dual at the level of the classical action, but have a non-trivial transformation of the dilaton.

Original languageEnglish
Article number117
JournalJournal of High Energy Physics
Volume2011
Issue number3
DOIs
StatePublished - 2011

Keywords

  • Duality in gauge field theories
  • String duality

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