We investigate the intrinsic parity of black holes. It appears that discrete symmetries require the black hole Hilbert space to be larger than suggested by the usual quantum numbers M (mass), Q (charge) and J (angular momentum). Recent results on black hole production in trans-Planckian scattering lead to gravitational effects which do not decouple from low-energy physics. Dispersion relations ...

The joint demands of high performance and fault tolerance in a large array of disks can be satisfied by a parity-declustered data layout – an arrangement of data and redundant information that allows the rapid reconstruction of lost data while the array continues to operate. A data layout is typically generated by partitioning the data units on the disks into stripes and choosing one or more un...

We investigate signals of the lightest neutral Higgs in an R-parity violating supersymmetic model through the vector boson fusion mechanism. Assuming that R-parity is violated through lepton number, and locating regions in the parameter space where decays of such a neutral scalar into a pair of lightest neutralinos can be significant, we proceed to calculate the event rates for final states ari...

A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the number of backward edges. Such a homomorphism preserves the parity of the length of a cycle and the image of a cycle is bounded by the length of that cycle. Pretzel and Youngs [1] showed that any Z-module homomorphism of ...

Redundant disk arrays are single fault tolerant, incorporating a layer of error handling not found in nonredundant disk systems. Recovery from these errors is complex, due in part to the large number of erroneous states the system may reach. The established approach to error recovery in disk systems is to transition directly from an erroneous state to completion. This technique, known as forwar...

Tensor representation (TR) for wave function (WF) of three–nucleon bound state with the total angular momentum I = 1/2 is discussed. The WF in TR has 16 complex components depending on vectors of relative momenta. Constraints on the WF imposed by requirements of invariance with respect to space inversion and time reversal are studied. Both parity– even and parity–odd components of the 3N bound ...

We first give a geometrical description of the action of the parity operator (P̂ ) on non relativistic spin 12 Pauli spinors in terms of bundle theory. The relevant bundle, SU(2)⊙Z2 → O(3), is a non trivial extension of the universal covering group SU(2) → SO(3). P̂ is the non relativistic limit of the corresponding Dirac matrix operator P = iγ0 and obeys P̂ 2 = −1. Then, from the direct product o...

In minimal SUSY GUT models the R-parity breaking terms are severely constrained by SU(5) gauge invariance. We consider the particular case where the explicit R-parity breaking occurs only via dimension 2 terms of the superpotential. This model possesses only three R-parity breaking parameters. We have studied the predictions of this model for the neutrino masses and mixing angles at the one-loo...

We construct an extension of the supersymmetric standard model where both CP symmetry and R-parity are spontaneously broken. We study the electroweak symmetry breaking sector of the model and find minima consistent with the experimental bounds on Higgs boson masses. Neutrino masses and mixing angles are generated through both seesaw and bilinear R-parity violation. We show that the hierarchical...

In an R-parity nonconserving supersymmetric theory, the lighter stop can dominantly decay into b&mgr; and btau if R-parity breaking has to explain the neutrino mass and mixing pattern suggested by the data on atmospheric muon neutrinos. This should give rise to dilepton + dijet and single - lepton + jets, signals identical with those of the top quark at the Fermilab Tevatron. One can thus const...