# Haag, Lopuszanski, Sohnius ## All Possible Generators of Supersymmetries of the S-Matrix \[Links: [Inspire](https://inspirehep.net/literature/90850)\] \[Abstract: A generator of a symmetry or supersymmetry of the S-matrix has to have three simple properties (see sect. 2). Starting from these properties one can give a complete analysis of the possible structure of the pseudo Lie algebra of these generators. In a theory with non-vanishing masses one finds that the only extension of previously known relations is the possible appearance of “central charges” as anticommutators of Fermi charges. In the massless case (disregarding infrared problems and symmetry breaking) the Fermi charges may generate the conformal group together with a unitary internal symmetry group.\] ## Summary - generalises [[0558 Coleman-Mandula theorem|Coleman-Mandula]] to SUSY # Hawking ## Particle Creation by Black Holes \[Links: [Inspire](https://inspirehep.net/literature/101338), [DOI](https://www.worldscientific.com/doi/abs/10.1142/9789814539395_0011)\] \[Abstract: In the classical theory black holes can only absorb and not emit particles. However it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were hot bodies with temperature $\frac{{h\kappa }}{{2\pi k}} \approx 10^{ - 6} \left( {\frac{{M_ \odot }}{M}} \right){}^ \circ K$ where $\kappa$ is the surface gravity of the black hole. This thermal emission leads to a slow decrease in the mass of the black hole and to its eventual disappearance: any primordial black hole of mass less than about $1015g$ would have evaporated by now. Although these quantum effects violate the classical law that the area of the event horizon of a black hole cannot decrease, there remains a [[0082 Generalised second law|Generalized Second Law]]: $S+1/4A$ never decreases where $S$ is the entropy of matter outside black holes and $A$ is the sum of the surface areas of the event horizons. This shows that gravitational collapse converts the baryons and leptons in the collapsing body into entropy. It is tempting to speculate that this might be the reason why the Universe contains so much entropy per baryon.\] ## Refs - [[0304 Hawking radiation]] # Osterwalder, Schrader ## Axioms for Euclidean Green's functions II \[Links: [Springer](https://link.springer.com/article/10.1007/BF01608978)\] \[Abstract: \] ## Summary - correction to [[1973#Osterwalder, Schrader]]: E0 needs to be replaced by either E$\tilde{0}$ or E$0^\prime$