23 citations · 129 across the 18 of their papers we have counts for
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Symmetries of modified Dirac operators in supergravity flux backgrounds
Ümit Ertem
Modifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schrödi…
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…
Gauged twistor spinors and symmetry operators
Ümit Ertem
We consider gauged twistor spinors which are supersymmetry generators of supersymmetric and superconformal field theories in curved backgrounds. We show that the spinor bilinears o…
Twistor spinors and extended conformal superalgebras
Ümit Ertem
We show that the first-order symmetry operators of twistor spinors can be constructed from conformal Killing-Yano forms in conformally-flat backgrounds. We express the conditions o…
Supergravity backgrounds and symmetry superalgebras
Ümit Ertem
We consider the bosonic sectors of supergravity theories in ten and eleven dimensions which correspond to the low energy limits of string theories and M-theory. The solutions of su…
Symmetry operators of Killing spinors and superalgebras in AdS_5
Ümit Ertem
We construct the first-order symmetry operators of Killing spinor equation in terms of odd Killing-Yano forms. By modifying the Schouten-Nijenhuis bracket of Killing-Yano forms, we…
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…