Non Linear Sigma Model on the Fuzzy Supersphere

In this note we develop fuzzy versions of the supersymmetric non-linear sigma model on the supersphere S-(2,S-2). In [1] Bott projectors have been used to obtain the fuzzy CP1 model. Our approach utilizes the use of supersymmetric extensions of these projectors. Here we obtain these (super) -projectors and quantize them in a fashion similar to the one given in [1]. We discuss the interpretation of the resulting model as a finite dimensional matrix model.


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...
Double-lepton polarization asymmetries and polarized forward backward asymmetries in the rare b -> sl(+)l(-) decays in a single universal extra dimension scenario
BASHIRY, VALİ; Bayar, M.; Azizi, K. (American Physical Society (APS), 2008-08-01)
We study the double-lepton polarization asymmetries and single and double-lepton polarization forward-backward asymmetries of the rare b -> sl(+)l(-) mode within the standard model and in the Appelquist-Cheng-Dobrescu model, which is a new physics scenario with a single universal extra dimension. In particular, we examine the sensitivity of the observables to the radius R of the compactified extra dimension, which is the new parameter in this new physics model.
Scalar neutrinos at the LHC
Demir, Durmus A.; Frank, Mariana; Selbuz, Levent; Turan, İsmail (American Physical Society (APS), 2011-05-03)
We study a softly broken supersymmetric model whose gauge symmetry is that of the standard model gauge group times an extra Abelian symmetry U(1)'. We call this gauge-extended model the U(1)' model, and we study a U(1)' model with a secluded sector such that neutrinos acquire Dirac masses via higher-dimensional terms allowed by the U(1)' invariance. In this model the mu term of the minimal supersymmetric model (MSSM) is dynamically induced by the vacuum expectation value of a singlet scalar. In addition, th...
Strong coupling constants of decuplet baryons with vector mesons
Alıyev, Tahmasıb; Savcı, Mustafa (American Physical Society (APS), 2010-11-10)
We provide a comprehensive study of strong coupling constants of decuplet baryons with light nonet vector mesons in the framework of light cone QCD sum rules. Using the symmetry arguments, we argue that all coupling constants entering the calculations can be expressed in terms of only one invariant function even if the SU(3)(f) symmetry breaking effects are taken into account. We estimate the order of SU(3)(f) symmetry violations, which are automatically considered by the employed approach.
Double-lepton polarization asymmetries and branching ratio in B -> K-0(*)(1430)l(+)l(-) transition from universal extra dimension model
ŞİRVANLI, BERİN BELMA; AZİZİ, KAZEM; İpekoğlu, Yusuf (Springer Science and Business Media LLC, 2011-01-01)
We investigate the B -> K-0(*)(1430)l(+)l(-) transition in the Applequist-Cheng-Dobrescu model in the presence of a universal extra dimension. In particular, we calculate double lepton polarization asymmetries and branching ratio related to this channel and compare the obtained results with the predictions of the standard model. Our analysis of the considered observables in terms of radius R of the compactified extra-dimension as the new parameter of the model show a considerable discrepancy between the pre...
Citation Formats
S. Kürkcüoğlu, “Non Linear Sigma Model on the Fuzzy Supersphere,” JOURNAL OF HIGH ENERGY PHYSICS, pp. 62–62, 2004, Accessed: 00, 2020. [Online]. Available: