23 citations · 96 across the 15 of their papers we have counts for
15 papers
Torsionful Killing-Yano Forms under T-Duality: Transformation Conditions and Emergent Isometries
Özgür Kelekçi, Ümit Ertem, Özgür Açık
We investigate the transformation of Killing-Yano (KY) -forms under Abelian T-duality in the presence of a non-trivial three-form torsion. Using a torsionful, metric-compatible…
Motion of membranes in space-times with torsion
Özgür Açık, Aytolun Çatalkaya, Ümit Ertem +1
The motion of membranes interacting with external fields in space-times with curvature and torsion is considered. The intrinsic and extrinsic properties of the immersion are fused…
Generalized symmetry superalgebras
Özgür Açık, Ümit Ertem
We generalize the symmetry superalgebras of isometries and geometric Killing spinors on a manifold to include all the hidden symmetries of the manifold generated by Killing spinors…
Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes
Özgür Açık
We have found two non-trivial massless Dirac and two massive Rarita-Schwinger solutions in plane wave spacetimes. The first order symmetry operator transforming one of the massless…
Spin raising and lowering operators for Rarita-Schwinger fields
Özgür Açık, Ümit Ertem
Spin raising and lowering operators for massless field equations constructed from twistor spinors are considered. Solutions of the spin- massless Rarita-Schwinger equa…
Field equations from Killing spinors
Özgür Açık
From the Killing spinor equation and the equations satisfied by their bilinears we deduce some well known bosonic and fermionic field equations of mathematical physics. Aside from…
New Developments in Killing Spinor Programme and More Motivations for Physics
Özgür Açık
This present work is based on our previous publications, which all together trigger our "Killing spinor programme". Other significant spinor fields are injected into the scheme and…
Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors
Özgür Açık, Ümit Ertem
We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisym…
Higher-degree Dirac Currents of Twistor and Killing Spinors in Supergravity Theories
Özgür Açık, Ümit Ertem
We show that higher degree Dirac currents of twistor and Killing spinors correspond to the hidden symmetries of the background spacetime which are generalizations of conformal Kill…
Transgression field theory at the interface of topological insulators
Özgür Açık, Ümit Ertem
Topological phases of matter can be classified by using Clifford algebras through Bott periodicity. We consider effective topological field theories of quantum Hall systems and top…
Couplings of gravitational currents with Chern-Simons gravities
Ümit Ertem, Özgür Açık
The coupling of conserved p-brane currents with non-Abelian gaugetheories is done consistently by using Chern-Simons forms. Conserved currents localized on p-branes that have a gra…
Generalized Chern-Simons Modified Gravity in First-Order Formalism
Ümit Ertem, Özgür Açık
We propose a generalization of Chern-Simons (CS) modified gravity in first-order formalism. CS modified gravity action has a term that comes from the chiral anomaly which is Pontry…
Basic Gravitational Currents and Killing-Yano Forms
Ö. Açık, Ü. Ertem, M. Önder +1
It has been shown that for each Killing-Yano (KY)-form accepted by an -dimensional (pseudo)Riemannian manifold of arbitrary signature, two basic gravitational currents can be de…
First-order symmetries of Dirac equation in curved background: a unified dynamical symmetry condition
Ö. Açık, Ü. Ertem, M. Önder +1
It has been shown that, for all dimensions and signatures, the most general first-order linear symmetry operators for the Dirac equation including interaction with Maxwell field in…
Killing-Yano Forms of a Class of Spherically Symmetric Space-Times II: A Unified Generation of Higher Forms
O. Acik, U. Ertem, M. Onder +1
Killing-Yano (KY) two and three forms of a class of spherically symmetric space-times that includes the well-known Minkowski, Schwarzschild, Reissner-Nordstrom, Robertson-Walker an…