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
Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices
Download
10.1016.j.nuclphysb.2009.06.031.pdf
Date
2009-11-01
Author
Harland, Derek
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
51
views
40
downloads
Cite This
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 model in the comutative limit, S(F)(2) -> S(2). For M = R(2), we find that the Abelian Higgs-type model admits vortex solutions corresponding to instantons in the original Yang-Mills theory. Vortices are in general no longer BPS, but may attract or repel according to the values of parameters.
Subject Keywords
Nuclear and High Energy Physics
URI
https://hdl.handle.net/11511/38464
Journal
NUCLEAR PHYSICS B
DOI
https://doi.org/10.1016/j.nuclphysb.2009.06.031
Collections
Department of Physics, Article
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...
Multiparticle correlations and higher order harmonics in pPb collisions at root s(NN)=8.16 TeV
Wang, Quan; et. al. (Elsevier BV, 2019-02-01)
The elliptic and higher-order azimuthal anisotropy Fourier harmonics (v(n)) are obtained for pPb collisions at root s(NN) = 8.16 TeV over a wide range of event multiplicities based on multiparticle correlations. The data were collected by the CMS experiment during the 2016 LHC run. A sample of peripheral PbPb collisions at root s(NN) = 5.02 TeV covering a similar range of event multiplicities to the pPb results is also analyzed for comparison. The ratios of different harmonic moments are obtained for both v...
Universal extra dimensions and Kaluza-Klein bound states
Carone, CD; Conroy, JM; Sher, M; Turan, İsmail (American Physical Society (APS), 2004-04-01)
We study the bound states of the Kaluza-Klein (KK) excitations of quarks in certain models of universal extra dimensions. Such bound states may be detected at future lepton colliders in the cross section for the pair production of KK quarks near threshold. For typical values of model parameters, we find that "KK quarkonia" have widths in the 10-100 MeV range, and production cross sections of the order of a few picobarns for the lightest resonances. Two body decays of the constituent KK quarks lead to distin...
Dualisation of the general scalar coset in supergravity theories
Yilmaz, NT (Elsevier BV, 2003-08-04)
The dualised formulation of the symmetric space sigma model is peformed for a general scalar coset G/K where G is a maximally non-compact group and K is it's maximal compact subgroup. By using the twisted self-duality condition the general form of the first-order equations are obtained. The results are applied to the example of SL(2, R)/SO(2) scalar manifold of the IIB supergravity.
Noncommutative nonlinear sigma models and integrability
Kürkcüoğlu, Seçkin (American Physical Society (APS), 2008-09-01)
We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and wi...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
D. Harland and S. Kürkcüoğlu, “Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices,”
NUCLEAR PHYSICS B
, pp. 380–398, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38464.