ar X iv : 0 80 9 . 07 07 v 1 [ m at h . D G ] 3 S ep 2 00 8 CCNV Spacetimes and ( Super ) symmetries

ar X iv : m at h - ph / 0 10 80 18 v 2 7 S ep 2 00 1 Symmetries of complexified space - time and algebraic structures ( in quantum theory )

Symmetries of complexified space-time and algebraic structures (in quantum theory). Abstract In the paper is discussed description of some algebraic structures in quantum theory by using formal recursive constructions with " complex Poincaré group " ISO(4, C).

ar X iv : h ep - t h / 06 05 27 3 v 3 2 3 O ct 2 00 6 hep - th / 0605273 Signature reversal invariance

We consider the signature reversing transformation of the metric tensor g µν → −g µν induced by the chiral transformation of the curved space gamma matrices γ µ→ γγ µ in spacetimes with signature (S, T), which also induces a (−1) T spacetime orientation reversal. We conclude: (1) It is a symmetry only for chiral theories with S − T = 4k, with k integer. (2) Yang-Mills theories require dimension...

ar X iv : h ep - l at / 0 11 00 06 v 2 3 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : 0 80 3 . 44 39 v 1 [ m at h . D S ] 3 1 M ar 2 00 8 PERIODIC UNIQUE BETA - EXPANSIONS : THE SHARKOVSKIĬ ORDERING

Let β ∈ (1, 2). Each x ∈ [0, 1 β−1 ] can be represented in the form