3 papers
hep-th2024
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…
hep-th2023
Drinfel'd Double of Bialgebroids for String and M Theories: Dual Calculus Framework
Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu
We extend the notion of Lie bialgebroids for more general bracket structures used in string and M theories. We formalize the notions of calculus and dual calculi on algebroids. We…
hep-th2020
Metric-Connection Geometries on Pre-Leibniz Algebroids: A Search for Geometrical Structure in String Models
Tekin Dereli, Keremcan Dogan
The metric-affine and generalized geometries, respectively, are arguably the appropriate mathematical frameworks for Einstein's theory of gravity and the low-energy effective massl…