E9 exceptional field theory. Part I. The potential

Loops in exceptional field theory

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 ...

A Theory of Antenna Electromagnetic Near Field—Part I

We present in this work a comprehensive theory of antenna near fields in two parts, highlighting in particular the engineering perspective. Part I starts by providing a general conceptual framework for the more detailed spectral theory to be developed in Part II. The present paper proceeds by proposing a general spatial description for the electromagnetic field in the antenna exterior region ba...

Valuation Theory. Part I

In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined. The notation and terminology used here have been introduced in the following We use the following convention: x, y, z, s are extended real numbers, i is an integer, and n, m are natural numbers. The following propositions are true: (1) If x ...

Some Exceptional Phenomena in Multifractal Formalism: Part I∗

Abstract. Recently it was discovered that the 3-fold convolution of the Cantor measure μ has intricate fractal structure [HL]: the set of local dimensions μ has an isolated point and therefore the standard multifractal formalism does not hold. Our purpose here is to give a detail study of such class of examples and to understand the dilemma. This will shed some light on the multifractal structu...