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

117
views

80
downloads

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

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.