“Conserved charges” of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory

The asymptotic symmetries in the Brans-Dicke theory are analyzed using Penrose's conformal completion method,which is independent of the coordinate system used.These symmetries,indeed,include supertranslations and Lorentz transformations for an asymptotically flat spacetime.With the Wald-Zoupas formalism,“conserved charges”and fluxes of the Bondi-Metzner-Sachs algebra are computed.The scalar degree of freedom contributes only to the Lorentz boost charge,even though it plays a role in various fluxes.The flux-balance laws are further applied to constrain the displacement memory,spin memory,and center-of-mass memory effects.     

Molecular and genomic characterization of pathogenic traits of group A Streptococcus pyogenes

Group A streptococcus (GAS) or Streptococcus pyogenes causes various diseases ranging from self-limiting sore throat to deadly invasive diseases. The genome size of GAS is 1.85–1.9 Mb, and genomic rearrangement has been demonstrated. GAS possesses various surface-associated substances such as hyaluronic capsule, M proteins, and fibronectin/laminin/immunoglobulin-binding proteins. These are related to the virulence and play multifaceted and mutually reflected roles in the pathogenesis of GAS infections. Invasion of GAS into epithelial cells and deeper tissues provokes immune and non-immune defense or inflammatory responses including the recruitment of neutrophils, macrophages, and dendritic cells in hosts. GAS frequently evades host defense mechanisms by using its virulence factors. Extracellular products of GAS may perturb cellular and subcellular functions and degrade tissues enzymatically, which leads to the aggravation of local and/or systemic disorders in the host. In this review, we summarize some important cellular and extracellular substances that may affect pathogenic processes during GAS infections, and the host responses to these.     

A characterization of the Hamiltonian

The classical Hamiltonian ) of the very classical quantum harmonic oscillator, which is regarded as a germ of the most of what comes about in quantum mechanics, can be sublimed to an abstract operator in a separable Hilbert space. Having this done one may ask for a condition which would allow it to be identified among operators of a suitable class. This class is that corresponding to three diagonal matrices and the property which makes the action successful is a kind of diagonal invariance (up to change of basis) within the class in question.     

A characterization of the segal entropy

We study the Segal entropy $\text{S(ψ∣τ) = -τ(}\text{dψ}\text{dτ}\text{ln}\text{dψ}\text{dτ}\text{)}$ of a normal state ψ on a W¹-algebra $\text{M}$ with respect to a faithful normal semi-finite trace τ on $\text{M}$ and we give a unique characterization of this general entropy concept by means of some natural properties.     

A discussion of causality and the Lorentz group

Zeeman (1964) has shown that the group of automorphisms for the relation of causality on Minkowski space is that generated by the orthochronous Poincaré (Halpern, 1968) group and dilatations. Here we prove that the group of automorphisms that preserve the time-like vectors of Minkowski space normwise is the complete Poincaré group. We prove that the timelike structure within the null cone of a single event does define the whole structure of Minkowski space. Further, it is shown that only inertial observers can use Minkowski space to describe space-time.     

A renormalization group analysis of the Kosterlitz-Thouless phase

We consider a classical Coulomb gas with a short distance cutoff in two dimensions; equivalently a Sine-Gordon field theory. For low temperature β^-1 and low activityz the gas is in a multipole phase, the Kosterlitz-Thouless phase. For β>8π andz sufficiently small we give a complete renormalization group analysis for this phase and show that the flow of the effective measures is toward a free field (infrared asymptotic freedom). This should lead to control over the long distance behavior of the theory. Research supported by the Natural Sciences and Engineering Research Council     

A quiver quantum group

We construct quantum groups at a root of unity and we describe their monoidal module category using techniques from the representation theory of finite dimensional associative algebras.Supported by the FNSRS (Swiss National Foundation)     

A new proposal for the determination of the renormalization group trajectories by the Monte Carlo renormalization group method

We present a new method for calculating block renormalized couplings by Monte Carlo renormalization group. This method has several advantages with respect to the existing ones and can be applied for any value of the coupling constants. A preliminary numerical study of the 2-dimensional O(3) non linear σ-model is also presented.     

A locally compact quantum group arising from quantization of the affine group of a local field

Letters in Mathematical Physics - Using methods coming from non-formal equivariant quantization, we construct in this short note a unitary dual 2-cocycle on a discrete family of quotient groups of...     

A one-loop renormalization group analysis of the Gelmini-Roncadelli model

A one-loop renormalization group analysis is presented of the Gelmini-Roncadelli model of neutrino mass generation via an extended Higgs sector. We are unable to find values for the quartic scalar couplings at the W mass scale which cause the combined Higgs-gauge couplings to evolve to a stable fixed point of the renormalization group. As a consequuence this model may well be “trivial” in the same sense as λφ⁴ theory is believed to be in four dimensions.     

A group theoretical derivation of the Gribov-Lipatov reciprocity relation

The Gribov-Lipatov reciprocity relation is shown to follow directly from group-theoretical considerations employing the conformal group.     

A homomorphism theorem for the Poincaré group

Jordan demonstrated that the group of homogeneous transformations of degree one in ?⁵ is homomorphic to the symmetry group of the Einstein-Maxwell equations in vacuum. It is shown that the Jordan homomorphism theorem is also applicable to the inhomogeneous general linear group. Consequently, the Poincaré group is homomorphic to the group of homogeneous transformations of degree one in a five-dimensional space.     

A Lie group structure underlying the triplectic geometry

We consider the pair of degenerate compatible antibrackets satisfying a generalization of the axioms imposed in the triplectic quantization of gauge theories. We show that these data encode a Lie group structure such that the antibrackets are related to the left- and right- invariant vector fields on the group. Conversely, every Lie group admits a “triplectic bundle.” The standard triplectic quantization axioms then correspond to Abelian Lie groups.     

The group of automorphisms of the galilei group

The group of automorphisms of the Galilei groupG: Aut(G) is calculated. It is shown that Aut(G) has the structure of a semi-direct product byG of the group _m ^* ×_m where _m is the group of reals noted multiplicatively and _m ^* <_m is the subgroup of positive reals.     

The group of automorphisms of the galilei group

The group of automorphisms of the Galilei groupG: Aut(G) is calculated. It is shown that Aut(G) has the structure of a semi-direct product byG of the group ? _m ^* ×?_m where ?_m is the group of reals noted multiplicatively and ? _m ^* m is the subgroup of positive reals.     

A unique characterization of the generalized Boltzmann-Gibbs-Shannon entropy

We characterize the generalized Boltzmann-Gibbs-Shannon entropy which includes the discrete Shannon entropy and the continuous Boltzmann-Gibbs entropy as special cases.     

A unique characterization of the generalized Boltzmann-Gibbs-Shannon entropy

We argue that any reasonable measure D(v|m) of the dispersion (or information deficit) of an m-continuous probability measure v relative to a reference measure m should satisfy the following natural conditions: It should be formally reasonable, restrictedly continuous, invariant under density-preserving maps, quasi-subadditive and additive. We show that these conditions already determine the dispersion functionals D(v|m) uniquely up to a common positive factor and, in this way, distinguish the generalized Boltzmann-Gibbs- Shannon entropy

$\text{S(v|m)=-c∫dm}\text{dv}\text{dm}\text{ln}\text{dv}\text{dm}$

     

On the universal covering group of the real symplectic group

A model for the universal covering group of the symplectic group as a Lie group, and some calculations based on the model, as well as defining a similar model for the Lagrangian Grassmannian and relating our construction to the Maslov Index.