Let $V$ be a vertex operator superalgebra with the natural order 2 automorphism $\sigma$. Under suitable conditions on $V$, $\sigma$-fixed subspace $V_{\bar 0}$ is algebra and category $C_{V_{\bar 0}}$ of 0}$-modules modular tensor category. In this paper, we prove that fermionic M\"uger centralizer 0}}^0$ fermion in generated by irreducible 0}$-submodules $V$-modules. particular, super-modular...

We introduce the Fourier-Stieltjes algebra in Rn which we denote by FS(Rn). It is a subalgebra of the algebra of bounded uniformly continuous functions in Rn, BUC(Rn), strictly containing the almost periodic functions, whose elements are invariant by translations and possess a mean-value. Thus, it is a so called algebra with mean value, a concept introduced by Zhikov and Krivenko (1986). Namely...

We construct a generalization of the two-dimensional Wess-Zumino-Witten model on a 2n-dimensional Kähler manifold as a group-valued non-linear sigma model with an anomaly term containing the Kähler form. The model is shown to have an infinitedimensional symmetry which generates an n-toroidal Lie algebra. The classical equation of motion turns out to be the Donaldson-Uhlenbeck-Yau equation, whic...

Proof. Let us first assume that c > 0. To prove that sup(cA) = c(sup A), we claim that sup(cA) ≤ c(sup A) and sup(cA) ≥ c(sup A). For the first inequality, let a′ ∈ cA be arbitrary. Then a′ = ca for some a ∈ A. But since a ≤ sup A, we have a′ = ca ≤ c(sup A). This shows that c(sup A) is an upper bound of cA, hence we have sup(cA) ≤ c(sup A). The reverse inequality also follows in a similar mann...

We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model on AdS5 × S5, which was formulated by Arutyunov, Frolov and Zamaklar, to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena. We obtain boundary S-matrices which satisfy the standard boundary Yang-Baxter equation. 1 Department of Physics, Ewha Womans Univer...

Let (Ω,Σ) be a measurable space, with Σ a sigma-algebra of subset of Ω, and let C be a nonempty bounded closed convex separable subset of a Banach space X , whose characteristic of noncompact convexity is less than 1, KC(X) the family of all compact convex subsets of X . We prove that a multivalued nonexpansive non-self-random operator T :Ω×C → KC(X), 1-χ-contractive mapping, satisfying an inwa...

We show how to write an off-shell action for the SU(2)× U(1) supersymmetric WZW model in terms of N = 2 chiral and twisted chiral multiplets. We discuss the N = 4 supersymmetry of this model and exhibit the N = 4 superconformal current algebra. Finally, we show that the off-shell formulation makes it possible to perform a duality transformation, which leads to a supersymmetric sigma model on a ...

We study the duality between string theory on AdS3 × S × S and twodimensional conformal theories with large N = 4 superconformal algebra Aγ. We discuss configurations of intersecting branes which give rise to such near-horizon geometries. We compute the Kaluza-Klein spectrum and propose that the boundary superconformal theory can be described by a sigma model on a suitable symmetric product spa...