E 9 exceptional field theory. Part II. The complete dynamics

Loops in exceptional field theory

Uncertainties in field-line tracing in the magnetosphere. Part II: the complete internal geomagnetic field

The discussion in the preceding paper is restricted to the uncertainties in magnetic-field-line tracing in the magnetosphere resulting from published standard errors in the spherical harmonic coefficients that define the axisymmetric part of the internal geomagnetic field (i.e. gn dg 0 n). Numerical estimates of these uncertainties based on an analytic equation for axisymmetric field lines are ...

Exceptional Field Theory. I. E[subscript 6(6)]-Covariant Form of M-Theory and Type IIB

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We present the details of the recently constructed E 6ð6Þ-covariant extension of 11-dimensional supergravity. This ...

Complete Mean-Field Theory for Dynamics of Binary Recurrent Networks.

We develop a unified theory that encompasses the macroscopic dynamics of recurrent interactions of binary units within arbitrary network architectures. Using the martingale theory, our mathematical analysis provides a complete description of nonequilibrium fluctuations in networks with a finite size and finite degree of interactions. Our approach allows the investigation of systems for which a ...

Cyclic Homology Theory, Part II