Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Gauge Theories with Fuzzy Extra Dimensions and Noncommutative Vortices and Fluxons
Download
index.pdf
Date
2010-09-17
Author
Kürkcüoğlu, Seçkin
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
48
views
0
downloads
Cite This
A U(2) Yang-Mills theory on the space M × S 2 F is considered, where it is assumed that M is an arbitrary noncommutative space and S 2 F is a fuzzy sphere spontaneously generated from a noncommutative U(N ) Yang-Mills theory on M coupled to a triplet of scalars in the adjoint of U(N ). SU(2)-equivariant reduction of this theory leads to a noncommutative U(1) gauge theory coupled adjointly to a set of scalar fields. The emergent model is studied on the Groenewald-Moyal plane R 2 θ and it is found that, in certain limits, it admits noncommutative, non-BPS vortex as well as fluxon solutions.
URI
https://hdl.handle.net/11511/37326
DOI
https://doi.org/10.1088/1742-6596/306/1/012051
Collections
Department of Physics, Conference / Seminar
Suggestions
OpenMETU
Core
Noncommutative vortices and flux tubes from Yang-Mills theories with spontaneously generated fuzzy extra dimensions
Kürkcüoğlu, Seçkin (American Physical Society (APS), 2010-11-10)
We consider a U(2) Yang-Mills theory on M x S-F(2), where M is an arbitrary noncommutative manifold, and S-F(2) is a fuzzy sphere spontaneously generated from a noncommutative U(N) Yang-Mills theory on M, coupled to a triplet of scalars in the adjoint of U(N). Employing the SU(2)-equivariant gauge field constructed in [D. Harland and S. Kurkcuoglu, Nucl. Phys. B 821, 380 (2009).], we perform the dimensional reduction of the theory over the fuzzy sphere. The emergent model is a noncommutative U(1) gauge theo...
Equivariant reduction of U(4) gauge theory over S-F(2) x S-F(2) and the emergent vortices
Kürkcüoğlu, Seçkin (2012-05-07)
We consider a U(4) Yang-Mills theory on M x S-F(2) x S-F(2) where M is an arbitrary Riemannian manifold and S-F(2) x S-F(2) is the product of two fuzzy spheres spontaneously generated from a SU(N) Yang-Mills theory on M which is suitably coupled to six scalars in the adjoint of U(N). We determine the SU(2) x SU(2)-equivariant U(4) gauge fields and perform the dimensional reduction of the theory over S-F(2) x S-F(2). The emergent model is a U(1)(4) gauge theory coupled to four complex and eight real scalar f...
Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices
Harland, Derek; Kürkcüoğlu, Seçkin (Elsevier BV, 2009-11-01)
We consider a U(2) Yang-Mills theory on M x S(F)(2) where M is a Riemannian manifold and S(F)(2) is the fuzzy sphere. Using essentially the representation theory of SU(2) we determine the most general SU(2)equivariant gauge field on M x S(F)(2). This allows us to reduce the Yang-Mills theory on M x S(F)(2) down to an Abelian Higgs-type model over M. Depending on the enforcement (or non-enforcement) of a "constraint" term, the latter may (or may not) lead to the standard critically-coupled Abelian Higgs mode...
Kerr black holes and their generalizations
Cebeci, Hakan; Karasu, Emine Ayşe; Dereli, Tekin; Department of Physics (2003)
The scalar tensor theory of gravitation is constructed in D dimensions in all possible geometries of spacetime. In Riemannian geometry, theory of gravitation involves a spacetime metric g with a torsion-free, metric compatible connection structure. If the geometry is non-Riemannian, then the gauge theory of gravitation can be constructed with a spacetime metric g and a connection structure with torsion. In non-Riemannian theory, connections may be metric compatible or non-metric compatible. It is shown that...
Holomorphic extension of meromorphic mappings along real analytic hypersurfaces
Yazıcı, Özcan (Springer Science and Business Media LLC, 2020-08-01)
Let M subset of C-n be a real analytic hypersurface, M' subset of C-N (N >= n) be a strongly pseudoconvex real algebraic hypersurface of the special form, and F be a meromorphic mapping in a neighborhood of a point p is an element of M which is holomorphic in one side of M. Assuming some additional conditions for the mapping F on the hypersurface M, we proved that F has a holomorphic extension to p. This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensi...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Kürkcüoğlu, “Gauge Theories with Fuzzy Extra Dimensions and Noncommutative Vortices and Fluxons,” 2010, vol. 306, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37326.