Supersymmetric non-linear sigma models in D=2+1 dimensional spacetime

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Değer, Nihat Sadık.
dc.contributor.author	Bardavid, Metin.
dc.date.accessioned	2023-03-16T11:21:49Z
dc.date.available	2023-03-16T11:21:49Z
dc.date.issued	2021.
dc.identifier.other	MATH 2021 B37
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15319
dc.description.abstract	In this thesis we study the theory of Supersymmetric Non-Linear a-Models. We first review the free scalar field theory which can be considered as a Linear a-model. We then discuss the Non-Linear a-model as well as the symmetries of the model with an emphasis on the role of Killing vector fields. After that we turn our attention to study the possible target spaces of these models; these being Kahler and homogeneous manifolds. Finally we introduce the 3-dimensional Non-Linear a-Model with N = 1, 2 and 4 supersymmetries. We show that the D = 3 and N = 2 NLaM has to admit a Kahler target manifold while D = 3 and N = 4 model has to admit a HyperKahler target manifold.
dc.format.extent	30 cm.
dc.publisher	Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021.
dc.subject.lcsh	Sigma particles.
dc.subject.lcsh	Supersymmetry.
dc.title	Supersymmetric non-linear sigma models in D=2+1 dimensional spacetime
dc.format.pages	xii, 71 leaves ;