SISSA Preprints
http://preprints.sissa.it:80/xmlui
The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.2019-04-19T18:18:06ZMassive Higher Spins: Effective Theory and Consistency
http://preprints.sissa.it:8180/xmlui/handle/1963/35333
Massive Higher Spins: Effective Theory and Consistency
Bellazzini, Brando; Riva, Francesco; Serra, Javi; Sgarlata, Francesco
We construct the effective field theory for a single massive higher-spin particle in flat spacetime. Positivity bounds of the S-matrix force the cutoff of the theory
to be well below the naive strong-coupling scale, forbid any potential and make
therefore higher-derivative operators important even at low energy. As interesting
application, we discuss in detail the massive spin-3 theory and show that an extended
Galileon-like symmetry of the longitudinal modes, even with spin, emerges
at high energy.
2019-01-20T00:00:00ZOn functions having coincident ρ-norms
http://preprints.sissa.it:8180/xmlui/handle/1963/35332
On functions having coincident ρ-norms
Klun, Giuliano
In a measure space (X;A; μ) we consider two measurable functions ƒ; g : E → R for some E ∈ A. We characterize the property of having equal p-norms when ρ varies in an
infinite set P in [1;+∞). In a first theorem we consider the case of bounded functions when P is unbounded with ∑p∈P(1/p) = +∞ . The second theorem deals with the possibility of unbounded functions, when P has a finite accumulation point in [1, + ∞ ).
13 pages
2019-03-25T00:00:00ZAn asymptotic description of Noether-Lefschetz components in toric varieties
http://preprints.sissa.it:8180/xmlui/handle/1963/35331
An asymptotic description of Noether-Lefschetz components in toric varieties
Bruzzo, Ugo; Montoya, William D.
We extend the definition of Noether-Leschetz components to quasi-smooth hyper- surfaces in a projective toric variety PΣ2k+1 having orbifold singularities, and prove that asymptoticaly the components whose codimension is bounded from above are made of hy- persurfaces containing a small degree k-dimensional subvariety. As a corollary we get an asymptotic characterization of the components with small codimension, generalizing the work of Otwinowska for P2k+1 = P2k+1 and Green and Voisin for P2k+1 = P3. Some tools that are developed in the paper are a generalization of Macaulay’s theorem for Fano, irreducible normal varieties with rational singularieties, satisfying a suitable additional condition, and an extension of the notion of Gorenstein ideal for normal varieties with finetely generated Cox ring.
2019-03-19T00:00:00ZOn the topological degree of planar maps avoiding normal cones
http://preprints.sissa.it:8180/xmlui/handle/1963/35330
On the topological degree of planar maps avoiding normal cones
Fonda, Alessandro; Klun, Giuliano
The classical Poincaré–Bohl theorem provides the exis-tence of a zero for a function avoiding external rays. When the do-main is convex, the same holds true when avoiding normal cones. We consider here the possibility of dealing with nonconvex sets having in-ward corners or cusps, in which cases the normal cone vanishes. This allows us to deal with situations where the topological degree may be di˙erent from ±1.
2019-03-07T00:00:00Z