The spontaneous breakdown of the scale, the chiral and the superconformal symmetries for a hidden SU (N) gauge group is studied in an effective lagrangean approach. The relevant low-energy degrees of freedom are taken to be the composite Goldstone particles associated with these three broken symmetries. Super-symmetry is spontaneously broken in the large N limit and soft breaking terms in the o...

This paper is a continuation of [ES1] and [EV2]. In [EV2], A.Varchenko and the first author considered weighted traces of products of intertwining operators for quantum groups Uq(g), where g is a simple Lie algebra. They showed that the generating function FV1,...VN (λ, μ) of such traces (where λ, μ are complex weights for g) satisfies four commuting systems of difference equations – the Macdon...

The role of nonvalence, e.g. sea quarks and/or meson degrees of freedom in static and quasistatic baryon electroweak observables, is discussed within the phenomenological sum rule approach. The inclusion of nonvalence degrees of freedom in the analysis of baryon magnetic moments explains extremely strong violation of the standard SU(6) symmetry-based quark-model prediction for the magnetic mome...

We review the construction of Drinfeld-Sokolov type hierarchies and classical W-algebras in a Hamiltonian symmetry reduction framework. We describe the list of graded regular elements in the Heisenberg subalgebras of the nontwisted loop algebra ℓ(gl n) and deal with the associated hierarchies. We exhibit an sl 2 embedding for each reduction of a Kac-Moody Poisson bracket algebra to a W-algebra ...

A bstract We present a comprehensive analysis of the black holes on warped deformed conifold with fluxes in Type IIB supergravity. These realize holographic dual to thermal states $$ \mathcal{N} N = 1 supersymmetric SU( N ) × + M cascading gauge theory Klebanov et al. [1, 2] round S 3 . There are three distin...

For vacua in type IIB string moduli space parameterized by the coupling constant, we propose a scheme for interpretation of the cosmological term in type IIB superstrings as a Goldstone mode from the spontaneous symmetry breaking of SL(2, Z) to a Fuchsian subgroup of degree one, Γh. The moduli space Σh = Γh\H has a radial direction with a massive Goldstone mode, and the contribution to the posi...

Abstract We study the continuum version of two-gap BCS model in (3 + 1)D within large- N approximation. calculate effective potential which depends on two independent energy gaps σ and Δ, where describes Cooper pair made electrons that belong to same internal symmetry whereas Δ have a different symmetry. The is calculated by considering Debye frequency an ultraviolet cutoff Λ, meant describe ph...

In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the (–Δ + m2)s and Laplacian (Δ λ)β/2, we consider model involving logarithmic nonlinearity. We first establish maximum principle boundary estimate, which play very crucial role in later process. Then obtain radial symmetry monotonicity results using direct method of moving pla...

In this paper we investigate a new family of multivariable polynomials. These polynomials, denoted Rλ(z1, . . . , zn; r), depend on a parameter r and are indexed by a partition λ of length n. Up to a scalar, Rλ is characterized by the following elementary properties: • Rλ is symmetric in the odd variables z1, z3, z5, . . . as well as in the even variables z2, z4, z6, . . .. Polynomials having t...