Article
IIB Supergravity Revisited
Journal of High Energy Physics (Impact Factor: 5.62). 06/2005; DOI: 10.1088/11266708/2005/08/098
Source: arXiv

Article: Duality symmetries and G+++ theories
[Show abstract] [Hide abstract]
ABSTRACT: We show that the nonlinear realizations of all the very extended algebras G+++, except the B and C series which we do not consider, contain fields corresponding to all possible duality symmetries of the onshell degrees of freedom of these theories. This result also holds for G+++2 and we argue that the nonlinear realization of this algebra accounts precisely for the form fields present in the corresponding supersymmetric theory. We also find a simple necessary condition for the roots to belong to a G+++ algebra.Classical and Quantum Gravity 02/2008; 25(4):045012. · 3.56 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: In this paper we construct the supersymmetric tensor hierarchy of N = 1, d = 4 supergravity. We find some differences with the general bosonic construction of 4dimensional gauged supergravities. The global symmetry group of N = 1, d = 4 supergravity consists of three factors: the scalar manifold isometry group, the invariance group of the complex vector kinetic matrix and the U(1) Rsymmetry group. In contrast to (half)maximal supergravities, the latter two symmetries are not embedded into the isometry group of the scalar manifold. We identify some components of the embedding tensor with FayetIliopoulos terms and we find that supersymmetry implies that the inclusion of Rsymmetry as a factor of the global symmetry group requires a nontrivial extension of the standard pform hierarchy. This extension involves additional 3 and 4forms. One additional 3form is dual to the superpotential (seen as a deformation of the simplest theory). We study the closure of the supersymmetry algebra on all the bosonic pform fields of the hierarchy up to duality relations. In order to close the supersymmetry algebra without the use of duality relations one must construct the hierarchy in terms of supermultiplets. Such a construction requires fermionic duality relations among the hierarchy's fermions and these turn out to be local.Journal of High Energy Physics 06/2009; · 5.62 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: The distinguishing characteristic of the elliptic restricted threebody problem from that of the circular case is a pulsating potential field resulting in nonautonomous and nonintegrable spacecraft dynamics, which are difficult to model using classical methods of analysis. The purpose of this study is to harness modern methods of analytical perturbation theory to normalize the system dynamics about the circular restricted threebody problem and about one of the triangular Lagrange points. The normalization is achieved through a canonical transformation of the system Hamiltonian function based on the Lie transform method introduced by Hori and Deprit in the 1960s. The classic method derives a nearidentity transformation of a Hamiltonian function expanded about a single parameter such that the transformed system possesses ideal properties of integrability. One of the major contributions of this study is to extend the normalization method to twoparameter expansions and to nonautonomous Hamiltonian systems. The twoparameter extension is used to normalize the system dynamics of the elliptic restricted threebody problem such that the stability of the triangular Lagrange points may be determined using the KolmogorovArnoldMoser theorem. Further dynamical analysis is performed in the transformed phase space in terms of local integrals of motion akin to Jacobi's integral of the circular restricted threebody problem. The local phase space around the Lagrange point is foliated by invariant tori that effectively separate the planar dynamics into qualitative regions of motion. Additional analysis is presented for the incorporation of control into the normalization routine with the goal of eliminating the noncircular secular perturbations. The control method is validated on a test case and applied to the elliptic restricted threebody problem for the purposes of stabilizing the motion around the triangular Lagrange points.01/2012;
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.