<p style="text-indent:20px;">The spectral norm and the nuclear of a third order tensor play an important role in completion recovery problem. We show that is equal to square root three positive semi-definite biquadratic tensors, roots norms those tensors are lower bounds tensor. This provides way estimate evaluate Some upper for tensor, by radii some symmetric matrices, presented.</p>

The worldvolume theory of coincident M5-branes is expected to contain a nonabelian 2-form/nonabelian gerbe gauge theory that is a higher analog of self-dual Yang-Mills theory. But the precise details – in particular the global moduli / instanton / magnetic charge structure – have remained elusive. Here we deduce from anomaly cancellation a natural candidate for the holographic dual of this nona...

Author details Department of Neurology, Taichung Tzu Chi Hospital, Buddhist Tzu Chi Medical Foundation, No. 88, Sec. 1, Fengxing Rd., Tanzi Dist, 427 Taichung City, Taiwan. School of Medicine, Tzu Chi University, Hualien, Taiwan. Department of Psychology, National Chung Cheng University, Chiayi, Taiwan. Department of Radiology, Taichung Tzu Chi Hospital, Buddhist Tzu Chi Medical Foundation, Tai...

We study a system of nonabelian anyons in the lowest Landau level of a strong magnetic field. Using diagrammatic techniques, we prove that the virial coefficients do not depend on the statistics parameter. This is true for all representations of all nonabelian groups for the statistics of the particles and relies solely on the fact that the effective statistical interaction is a traceless opera...

Field correlators in QCD. Theory and applications. Abstract This review is dedicated to the study of nonabelian gauge theories by making use of the gauge-invariant nonlocal field correlators. Basic theoretical aspects, such as nonabelian Stokes theorem, cluster expansion , Gaussian dominance as well as numerous phenomenological applications are reviewed.