Weak braided monoidal categories and their homotopy colimits

We show that the homotopy colimit construction for diagrams of categories with an operad action, recently introduced by Fiedorowicz, Stelzer and Vogt, has the desired homotopy type for diagrams of weak braided monoidal categories. This provides a more flexible way to realize E-2 spaces categorically.Comment: 7 page

[Review of] Milton Murayama. All I Asking For Is My Body

In little over a decade this short novel has become a classic, developing a dedicated following, not only in Asian American communities and literature programs, but also in traditional literature programs alongside books such as Huckleberry Finn where the strategies are the same: the view of the world through the clear eye of youth, the puncturing of both pretense and pretension by the view from the bottom up

Braided injections and double loop spaces

We consider a framework for representing double loop spaces (and more generally E-2 spaces) as commutative monoids. There are analogous commutative rectifications of braided monoidal structures and we use this framework to define iterated double deloopings. We also consider commutative rectifications of E-infinity spaces and symmetric monoidal categories and we relate this to the category of symmetric spectra.Comment: 34 pages, 4 figures, minor correction

The action of long strings in supersymmetric field theories

Long strings emerge in many Quantum Field Theories, for example as vortices in Abelian Higgs theories, or flux tubes in Yang-Mills theories. The actions of such objects can be expanded in the number of derivatives, around a long straight string solution. This corresponds to the expansion of energy levels in powers of 1/L, with L the length of the string. Doing so reveals that the first few terms in the expansions are universal, and only from a certain term do they become dependent on the originating field theory. Such classifications have been made before for bosonic strings. In this work we expand upon that and classify also strings with fermionic degrees of freedom, where the string breaks D=4 N=1 SUSY completely. An example is the confining string in N=1 SYM theory. We find a general method for generating supersymmetric action terms from their bosonic counterparts, as well as new fermionic terms which do not exist in the non-supersymmetric case. These terms lead to energy corrections at a lower order in 1/L than in the bosonic case

Radial growth of harmonic functions in the unit ball

We study harmonic functions which admit a certain majorant in the unit ball in $\R^m$. We prove that when the majorant fulfills a doubling condition, the extremal growth or decay may occur only along small sets of radii, and we give precise estimates of these exceptional sets

Terminal synchrones in the tail of comet 1965f

Position and velocity measurements of six synchrone emissions in tail of comet Ikeya-Sek