Browsing by Author "Yilmaz, Nejat T."
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Article Decoupling Structure of the Principal Sigma Model-Maxwell Interactions(Academic Press inc Elsevier Science, 2008) Yilmaz, Nejat T.The principal sigma model and Abelian gauge fields coupling is studied. By expressing the first-order formulation of the gauge field equations an implicit on-shell scalar-gauge field decoupling structure is revealed. It is also shown that due to this decoupling structure the scalars of the theory belong to the pure sigma model and the gauge fields sector consists of a number of coupled Maxwell theories with currents partially induced by the scalars. (C) 2008 Elsevier Inc. All rights reserved.Article Citation - WoS: 1Citation - Scopus: 1Dualization of the Principal Sigma Model(Amer inst Physics, 2008) Yilmaz, Nejat T.The first-order formulation of the principal sigma model with a Lie group target space is performed. By using the dualization of the algebra and the field content of the theory the field equations which are solely written in terms of the field strengths are realized through an extended symmetry algebra parametrization. The structure of this symmetry algebra is derived so that it generates the realization of the field equations in a Bianchi identity of the current derived from the extended parametrization. (c) 2008 American Institute of Physics.Article Citation - WoS: 1Citation - Scopus: 1Heterotic String Dynamics in the Solvable Lie Algebra Gauge(Elsevier, 2007) Yilmaz, Nejat T.A revision of the toroidal Kaluza-Klein compactification of the massless sector of the E-8 x E-8 heterotic string, is given. Under the solvable Lie algebra gauge the dynamics of the O(p, q)/(O(p) x O(q)) symmetric space sigma model which is coupled to a dilaton. N Abelian gauge fields and the Chern-Simons type field strength is studied in a general formalism. The results are used to derive the bosonic matter field equations of the massless sector of the D-dimensional compactified E-8 x E-8 heterotic string. (c) 2006 Elsevier B.V. All rights reserved.Article Citation - WoS: 2Citation - Scopus: 2An Implicit Decoupling for the Dilatons and the Axions of the Heterotic String(Elsevier Science Bv, 2007) Yilmaz, Nejat T.A set of consistency conditions is derived for the massless sector of the D-dimensional E-8 x E-8 heterotic string. Under the solvable Lie algebra gauge these conditions are further formulated explicitly in terms of the dilatons and the axions. It is then shown that these consistency conditions which are satisfied by the solution space give way to an implicit decoupling between the coset scalar sector namely the dilatons and the axions and the gauge fields of the theory. (c) 2007 Elsevier B.V. All rights reserved.Article Integrated Field Equations of Heterotic Supergravities(World Scientific Publ Co Pte Ltd, 2008) Yilmaz, Nejat T.The first-order bosonic field equations of the D-dimensional effective low energy theory which describes the massless background coupling of the D-dimensional fully Higgsed heterotic string are derived.Article Nonlinear Realization of the N=2, D=6 Supergravity(World Scientific Publ Co Pte Ltd, 2007) Yilmaz, Nejat T.We have applied the method of dualization to construct the coset realization of the bosonic sector of the N = 2, D = 6 supergravity which is coupled to a tensor multiplet. The bosonic field equations are regained through the Cartan-Maurer equation which the Cartanformsatisfies.The first-orderformulationofthetheoryisalsoobtainedasa twisted self-duality condition within the nonlinear coset construction.Article Citation - WoS: 1Citation - Scopus: 1Symmetric Space Σ-Model Dynamics: Current Formalism(World Scientific Publ Co Pte Ltd, 2007) Yilmaz, Nejat T.After explicity constructing the symmetric space sigma model Lagrangian in terms of the coset scalars of the solvable Lie algebra gauge in the current formalism, we derive the field equations of the theory.Article Citation - WoS: 4Citation - Scopus: 4Symmetric Space Σ-Model Dynamics: Internal Metric Formalism(Elsevier Science Bv, 2006) Yilmaz, Nejat T.For the symmetric space sigma model in the internal metric formalism we explicitly construct the Lagrangian in terms of the axions and the dilatons of the solvable Lie algebra gauge and then we exactly derive the axion-dilaton field equations. (c) 2006 Published by Elsevier B.V.

