We study the central charges of the supersymmetry algebra of branes in backgrounds corresponding to wrapped M5-branes. In the case of M5-branes wrapping a holomorphic 2-cycle in C2, we find this allows for a supersymmetric M5-brane probe which is related to the M2-brane probe which describes the BPS spectra of the corresponding N = 2 worldvolume gauge theory. For the case of M5-branes wrapping ...

Using interval Taylor models (TM), we construct algorithms for the computer-assisted proof of existence periodic trajectories in systems ordinary differential equations (ODEs). Although TMs allow one to guaranteed estimates families solutions ODEs when integrating over large time intervals, residual included begins grow exponentially and becomes dominant part estimate solution pencil, making it...

Abstract We propose a prescription to calculate the superconformal index of ${\cal N}=4$U(N) supersymmetric Yang–Mills theory with finite N on anti-de Sitter side. The finite-N corrections are included as contributions D3-branes wrapped around three-cycles in ${\boldsymbol S}^5$, which calculated gauge theories realized branes. single-wrapping contribution has been studied previous work, and we...

We present a heuristic meta-learning search method for finding a set of optimized algorithmic parameters for a range of machine learning algorithms. The method, wrapped progressive sampling, is a combination of classifier wrapping and progressive sampling of training data. A series of experiments on UCI benchmark data sets with nominal features, and five machine learning algorithms to which sim...

A wrapping-on-a-rod technique is presented and demonstrated successfully to realize broadband microfiber-based highly birefringent (Hi-Bi) devices with 3D geometry. By wrapping a circular microfiber (MF) on a Teflon-coated rod (2 mm in diameter), a large and broadband birefringence can be obtained utilizing a rod-microfiber-air (RMA) structure. Wavelength scanning method is used to measure the ...

In the article the role of legacy systems in the next generation distributed object architecture is discussed. Legacy systems represent an enormous investment in time and money and they embody a wealth of intellectual property, business rules and data. Replacing them with new generation systems is not possible over night. The way how to integrate these systems within distributed object architec...

Abstract. In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C ), spatial reflection (P) and time reversal (T ) are spontaneously broken in QCD. The order parameter for the symmetry breaking is the trace of the Wilson line wrapping around the compact dimension, which acquires an imaginary part in the broken phase. We show tha...