Anomalies as obstructions: from dimensional lifts to swampland

Obstructions to dimensional reduction in hot QCD

I describe results on screening masses in hot gauge theories. Wilsonian effective long distance theories called dimensionally reduced (DR) theories describe very well the longest screening length in pure gauge theories. In the presence of fermions, meson-like screening lengths dominate the long-distance physics for 3Tc/2 ≤ T < 3Tc, and thus obstruct perturbative DR. Extrapolation of our results...

Discrete Series Characters as Lifts from Two-structure Groups

Let G be a connected reductive Lie group with a relatively compact Cartan subgroup. Then it has relative discrete series representations. The main result of this paper is a formula expressing relative discrete series characters on G as “lifts” of relative discrete series characters on smaller groups called two-structure groups for G. The two-structure groups are connected reductive Lie groups w...

Gastrografin-based conservative approach to small bowel obstructions: too far from a daily use

As known, small bowel obstruction is one of the most common emergencies in general surgery carrying a not negligible rate of morbidity and financial expenditures as far as high social impact . Peritoneal adhesions are the leading cause of intestinal obstruction up to 74% of cases. In spite of increasing incidence worldwide, current management still presents some “blind corners”, whose aspects s...

Obstructions to Shiftedness

In this paper we show results on the combinatorial properties of shifted simplicial complexes. We prove two intrinsic characterization theorems for this class. The first theorem is in terms of a generalized vicinal preorder. It is shown that a complex is shifted if and only if the preorder is total. Building on this we characterize obstructions to shiftedness and prove there are finitely many i...

Obstructions to Homotopy Invariance