4 papers
On Globalization Problem of Multi-Hamiltonian Formalisms
Begüm Ateşli, Aybike Çatal-Özer
The globalization problem arises when local tensor fields possess a given property (such as being symplectic or Poisson) but cannot be consistently extended to a global object due…
Drinfel'd Doubles, Twists and All That... in Stringy Geometry and M Theory
Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu
Drinfel'd double of Lie bialgebroids plays an important role in T-duality of string theories. In the presence of and fluxes, Lie bialgebroids should be extended to proto Li…
Yang-Baxter Deformation as an O(d,d) Transformation
Aybike Çatal-Özer, Seçil Tunalı
The rules for Yang-Baxter (YB) deformation for a generic Green-Schwarz string sigma model has been obtained recently. We show that the deformation can be described through the acti…
Non-Abelian T-duality as a Transformation in Double Field Theory
Aybike Catal-Ozer
Non-Abelian T-duality (NATD) is a solution generating transformation for supergravity backgrounds with non-Abelian isometries. We show that NATD can be described as a coordinate de…