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: Branes, Weights and Central Charges
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ABSTRACT: We study the properties of halfsupersymmetric branes in string theory with 32 supercharges from a purely grouptheoretical point of view using the Uduality symmetry of maximal supergravity and the Rsymmetry of the corresponding supersymmetry algebra. In particular, we show that halfsupersymmetric branes are always associated to the longest weights of the Uduality representation of the potentials coupling to them. We compare the features of branes with three or more transverse directions (that we call "standard" branes) to those with two or less transverse directions (that we denominate "nonstandard" branes). We show why the BPS condition of the nonstandard branes is in general degenerate and for each case we calculate this degeneracy. We furthermore show how the orbits of multicharge configurations of nonstandard branes can be calculated and give the Uduality invariants describing these orbits. We show that different orbits of nonstandard branes can have the same BPS condition.Journal of High Energy Physics 03/2013; 2013(6). · 5.62 Impact Factor 
Article: Supersymmetric Domain Walls
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ABSTRACT: We classify the halfsupersymmetric "domain walls", i.e. branes of codimension one, in toroidally compactified IIA/IIB string theory and show to which gauged supergravity theory each of these domain walls belong. We use as input the requirement of supersymmetric WessZumino terms, the properties of the E11 KacMoody algebra and the embedding tensor formalism. We show that the number of halfsupersymmetric domain walls is a multiple of the number of corresponding central charges in the supersymmetry algebra, where the multiplicity is related to the degeneracy of the BPS conditions.Physical review D: Particles and fields 06/2012; 86(8).  [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;
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