We study the spectra of two-gluon glueballs and three-gluon oddballs corresponding equation state in $5$-dimensional deformed holographic QCD models graviton-dilaton system, where metric, dilaton field potential are self-consistently solved from each other through Einstein equations motion field. compare by inputting field, metric potential, find that with only 2 parameters, model predictions o...

The Arnold stability criterion suggests that a stationary ow of an ideal incompressible uid is stable if a certain quadratic form is deenite. We show that, in three or more dimensions, this quadratic form is never deenite. Typically the form is indeenite, and the spectrum of the associated Hermitian operator ranges from ?1 to 1. The exceptional case is where the velocity eld is harmonic (soleno...

We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in $O(D,D)$ representations. The theory is obtained splitting an $O(D,D+K)$ duality invariant DFT. This procedure produces Green-Schwarz mechanism for generalized metric, and gauge field which transforms as connection only to leading order. After parametrization, former induces non-covariant transf...

In previous work, the authors provided a foundation for the theory of variable metric proximal point algorithms in Hilbert space. In that work conditions are developed for global, linear, and super–linear convergence. This paper focuses attention on two matrix secant updating strategies for the finite dimensional case. These are the Broyden and BFGS updates. The BFGS update is considered for ap...

This paper presents a low probability of interception (LPI) radar waveform design method with a fixed average power constraint based on information theory. The Kullback–Leibler divergence (KLD) between the intercept signal and background noise is presented as a practical metric to evaluate the performance of the adversary intercept receiver in this paper. Through combining it with the radar per...

We obtain forms of Born-Infeld and D-brane actions that are quadratic in derivatives of X and linear in Fμν by introducing an auxiliary ‘metric’ which has both symmetric and anti-symmetric parts, generalising the simplification of the Nambu-Goto action for p-branes using a symmetric metric. The abelian gauge field appears as a Lagrange multiplier, and solving the constraint gives the dual form ...

In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined on the space of positive Radon measure with varying masses. We perform successively a time step for the quadratic Wasserstein/Monge-Kantorovich distance, and then for the Hellinger/Fisher-Rao distance. Exploiting som...

In abstract Yang–Mills theory the standard instanton construction relies on the Hodge star having real eigenvalues which makes it inapplicable in the Lorentzian case. We show that for the affine connection (i.e. connection on vectors) an instanton-type construction can be carried out in the Lorentzian setting. Namely, the Lorentzian analogue of an instanton is a metric compatible connection who...

Integrability of equations of topological-antitopological fusion (being proposed by Cecotti and Vafa) describing the ground state metric on a given 2D topological field theory (TFT) model, is proved. For massive TFT models these equations are reduced to a universal form (being independent on the given TFT model) by gauge transformations. For massive perturbations of topological conformal field ...

This paper presents MLBoost, an efficient method for learning to compare face signatures, and shows its application to the hierarchical organization of large face databases. More precisely, the proposed metric learning (ML) algorithm is based on boosting so that the metric is learned iteratively by combining several weak metrics. Boosting allows our method to be free of any hyper-parameters (no...