Cem Yetişmişoğlu
YOU?
Author Swipe
View article: Low-frequency scattering of TE and TM waves by an inhomogeneous medium with planar symmetry
Low-frequency scattering of TE and TM waves by an inhomogeneous medium with planar symmetry Open
Stationary scattering of TE and TM waves propagating in an isotropic medium with planar symmetry is described by Bergmann’s equation in one dimension. This is a generalization of Helmholtz equation which allows for developing transfer matr…
View article: Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory
Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory Open
A bstract Drinfel’d doubles of Lie bialgebroids play an important role in T-duality of string theories. In the presence of H and R fluxes, Lie bialgebroids should be extended to proto Lie bialgebroids. For both cases, the pair is given by …
View article: Discrete dynamics and supergeometry
Discrete dynamics and supergeometry Open
A bstract We formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and naturally incorporates laborat…
View article: Drinfel'd Doubles, Twists and All That... in Stringy Geometry and M Theory
Drinfel'd Doubles, Twists and All That... in Stringy Geometry and M Theory Open
Drinfel'd double of Lie bialgebroids plays an important role in T-duality of string theories. In the presence of $H$ and $R$ fluxes, Lie bialgebroids should be extended to proto Lie bialgebroids. For both cases, the pair is given by two du…
View article: Drinfel’d double of bialgebroids for string and M theories: dual calculus framework
Drinfel’d double of bialgebroids for string and M theories: dual calculus framework Open
A bstract 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 achieve this by reinterpreting the main results o…
View article: Drinfel'd Double of Bialgebroids for String and M Theories: Dual Calculus Framework
Drinfel'd Double of Bialgebroids for String and M Theories: Dual Calculus Framework Open
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 achieve this by reinterpreting the main results of the matc…
View article: Discrete Dynamics and Supergeometry
Discrete Dynamics and Supergeometry Open
We formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and canonically incorporates laboratories. T…
View article: A model of non-minimally coupled gravitation and electromagnetism in (1+2) dimensions
A model of non-minimally coupled gravitation and electromagnetism in (1+2) dimensions Open
Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general RF 2 -type non-minimal coupling terms. Here R denotes th…
View article: Weyl covariant quadratic curvature gravity in three-dimensional Riemann-Cartan-Weyl spacetimes
Weyl covariant quadratic curvature gravity in three-dimensional Riemann-Cartan-Weyl spacetimes Open
We discuss locally Weyl (scale) covariant generalisation of quadratic\ncurvature gravity theory in three dimensions using Riemann-Cartan-Weyl\nspace-times. We show that this procedure of Weyl gauging yields a consistent\ngeneralisation for…
View article: Weyl Covariant Theories of Gravity in Riemann-Cartan-Weyl Space-times II. Minimal Massive Gravity
Weyl Covariant Theories of Gravity in Riemann-Cartan-Weyl Space-times II. Minimal Massive Gravity Open
We present locally scale (Weyl) covariant generalisation of Minimal Massive Gravity theory using the language of exterior differential forms on Riemann-Cartan-Weyl space-times. The theory is expressed by a locally scale invariant action an…
View article: Weyl Covariant Theories of Gravity in Riemann-Cartan-Weyl Space-times I. Topologically Massive Gravity
Weyl Covariant Theories of Gravity in Riemann-Cartan-Weyl Space-times I. Topologically Massive Gravity Open
We discuss locally Weyl (scale) covariant generalisations of gravitational theories using Riemann-Cartan-Weyl space-times in arbitrary dimensions. We demonstrate the procedure of Weyl gauging on two examples in particular: General relativi…
View article: Kaluza-Klein Reduction of the 6 Dimensional \\ Dirac Equation on $\mathbb{S}^3 \cong SU(2)$ and \\ Non-abelian Topological Insulators
Kaluza-Klein Reduction of the 6 Dimensional \\ Dirac Equation on $\mathbb{S}^3 \cong SU(2)$ and \\ Non-abelian Topological Insulators Open
In this work, the Kaluza-Klein reduction of the Dirac equation on a 6 dimensional spacetime $\mathbb{M}^{1+5} := \mathbb{M}^{1+2} \times \mathbb{S}^3$ is studied. Because of the group structure on $\mathbb{S}^3$, $\mathbb{M}^{1+5}$ can be …
View article: New improved massive gravity and three-dimensional spacetimes of constant curvature and constant torsion
New improved massive gravity and three-dimensional spacetimes of constant curvature and constant torsion Open
We derive the field equations for topologically massive gravity coupled with\nthe most general quadratic curvature terms using the language of exterior\ndifferential forms and a first order constrained variational principle. We find\nvaria…