The continuous extension of the discrete duality symmetry of the SchwarzSen model is studied. The corresponding infinitesimal generator Q turns out to be local, gauge invariant and metric independent. Furthermore, Q commutes with all the conformal group generators. We also show that Q is equivalent to the non—local duality transformation generator found in the Hamiltonian formulation of Maxwell...

The aim of this paper is to investigate the q → 1 q duality in an information-entropy theory of all q-generalized entropy functionals (Tsallis, Renyi and Sharma-Mittal measures) in the light of a representation based on generalized exponential and logarithm functions subjected to Kolmogorov’s and Nagumo’s averaging. We show that it is precisely in this representation that the form invariance of...

We study a class of interacting particle systems with asymmetric interaction showing self-duality property. The includes the ASEP(q,θ), exclusion process, repulsive interaction, allowing up to θ∈N particles in each site, and ASIP(q,θ), θ∈R+, inclusion that is its attractive counterpart. extend setting investigation orthogonal duality properties done [8] for symmetric processes. analysis leads m...

The controversy about " 1/m Q duality violation " : a quark model point of view Abstract. Non relativistic quark models have been invoked to support the statement of a 1/m Q duality violation in semileptonic B decays. However, as we recall, we have very explicitly shown that no 1/m Q duality violation is present in totally integrated rates, in such quark models. Then : 1) it is shown that some ...

We explicitly construct the adjoint operator of coboundary operator and obtain the Hodge decomposition theorem and the Poincaré duality for the Lie algebra cohomology of the infinite-dimensional gauge transformation group. We show that the adjoint of the coboundary operator can be identified with the BRST adjoint generator Q for the Lie algebra cohomology induced by BRST generator Q. We also po...

We describe a correspondence (or duality) between the q-characters of finite-dimensional representations of a quantum affine algebra and its Langlands dual in the spirit of [6, 4]. We prove this duality for the Kirillov–Reshetikhin modules. In the course of the proof we introduce and construct “interpolating (q, t)-characters” depending on two parameters which interpolate between the q-characte...

Let G = Spin(4n + 1,C) be the connected, simply connected complex Lie group of type B2n and let G = Spin(p, q) (p + q = 4n + 1) denote a (connected) real form. If q / ∈ {0, 1}, G has fundamental group Z2 and we denote the corresponding nonalgebraic double cover by G̃ = S̃pin(p, q). The main purpose of this paper is to describe a symmetry in the set genuine parameters for the various G̃ at certain ...

Let G = Spin[4n+1] be the connected, simply connected complex Lie group of type B2n and let G = Spin(p, q) (p + q = 4n + 1) denote a (connected) real form. If q / ∈ {0, 1}, G has a nontrivial fundamental group and we denote the corresponding nonalgebraic double cover by G̃ = ̃ Spin(p, q). The main purpose of this paper is to describe a symmetry in the set of genuine parameters for the various G̃ ...

We prove an integral version of the Schur–Weyl duality between the specialized Birman–Murakami–Wenzl algebra Bn(−q , q) and the quantum algebra associated to the symplectic Lie algebra sp2m. In particular, we deduce that this Schur–Weyl duality holds over arbitrary (commutative) ground rings, which answers a question of Lehrer and Zhang ([37]) in the symplectic case. As a byproduct, we show tha...