@article{article_289629, title={Seiberg Witten Equations on Dimensional Hyperbolic Spaces}, journal={Anadolu University Journal of Science and Technology B - Theoretical Sciences}, volume={5}, pages={34–48}, year={2017}, DOI={10.20290/aubtdb.289629}, author={Eker, Serhan and Bulut, Şenay and Değirmenci, Nedim}, keywords={Seiberg-Witten denklemleri,Hiperbolik Uzay,Eğrilik denklemi,Spinor,Self-Dualite}, abstract={<p class="MsoNormal" align="center" style="text-align:left;"> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">Seiberg </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">Witten equations, which are used to investigate the
structure of </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">dimensional manifds, consist of two equations.  The first item is Dirac equation and the
latter is Curvature equation.  According
to choosing of the self </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">duality concept, the </span> <span lang="en-us" style="font-size:.9em;" xml:lang="en-us"> <a href="https://www.seslisozluk.net/generalized-nedir-ne-demek/" title="generalized nedir, ne demek, generalized anlamı - Sesli Sözlük"> <span style="font-size:11pt;font-family:’Times New Roman’, serif;">generalized </span> </a> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us"> of these
equations were done in higher dimensions [1,2,6,9].  In this paper, at first the classical Seiberg </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">Witten 
equations are written on </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">dimensional Hiperbolic space.  Then, the generalized Seiberg </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">Witten  equations
are written on </span> <span lang="en-us" style="font-size:9.5pt;font-family:Palatino;" xml:lang="en-us"> </span> <span lang="en-us" style="font-size:11pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">dimensional Hiperbolic space by using the method given
in [1]. </span> <br /> </p>}, number={1}, publisher={Eskişehir Teknik Üniversitesi} }