منابع مشابه
Weyl Card Diagrams
To capture important physical properties of a spacetime we construct a new diagram, the card diagram, which accurately draws generalized Weyl spacetimes in arbitrary dimensions by encoding their global spacetime structure, singularities, horizons, and some aspects of causal structure including null infinity. Card diagrams draw only non-trivial directions providing a clearer picture of the geome...
متن کاملWeyl Card Diagrams and New S-brane Solutions of Gravity
We construct a new card diagram which accurately draws Weyl spacetimes and represents their global spacetime structure, singularities, horizons and null infinity. As examples we systematically discuss properties of a variety of solutions including black holes as well as recent and new time-dependent gravity solutions which fall under the S-brane class. The new time-dependent Weyl solutions incl...
متن کاملColoured Generalised Young Diagrams for Affine Weyl-Coxeter Groups
Coloured generalised Young diagrams T (w) are introduced that are in bijective correspondence with the elements w of the Weyl-Coxeter group W of g, where g is any one of the classical affine Lie algebras g = A (1) ` , B (1) ` , C (1) ` , D (1) ` , A (2) 2` , A (2) 2`−1 or D (2) `+1. These diagrams are coloured by means of periodic coloured grids, one for each g, which enable T (w) to be constru...
متن کاملBijections for Weyl Chamber Walks Ending on an Axis, Using Arc Diagrams and Schnyder Woods
In the study of lattice walks there are several examples of enumerative equivalences which amount to a trade-o between domain and endpoint constraints. We present a family of such bijections for simple walks in Weyl chambers which use arc diagrams in a natural way. One consequence is a set of new bijections for standard Young tableaux of bounded height. A modi cation of the argument in two dime...
متن کاملBijections for Weyl Chamber walks ending on an axis, using arc diagrams
Received November 15, 2016. Abstract. There are several examples of enumerative equivalences in the study of lattice walks where a trade-off appears between a stronger domain constraint and a stronger endpoint constraint. We present a strategy, based on arc diagrams, that gives a bijective explanation of this phenomenon for two kinds of 2D walks (simple walks and hesitating walks). For both ste...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2005
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.71.124019