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...

The construction of flat currents, and hence conserved non-local charges, for the superstring on AdS5 × S 5 is generalised. It is shown that such currents exist for sigma-model type actions on all coset (super-)spaces G/H in which, at the level of the Lie algebras, h is the grade-zero subspace of a Zm-grading of g. This is true for an essentially unique choice of the Wess-Zumino term, which is ...

This note is an overview of the Poisson sigma model (PSM) and its applications in deformation quantization. Reduction of coisotropic and prePoisson submanifolds, their appearance as branes of the PSM, quantization in terms of L∞and A∞-algebras, and bimodule structures are recalled. As an application, an “almost” functorial quantization of Poisson maps is presented if no anomalies occur. This le...

The first-order formulation of the principal sigma model with a Lie group target space is performed. By using the dualisation of the algebra and the field content of the theory the field equations which are solely written in terms of the field strengths are realized through an extended symmetry algebra parametrization. The structure of this symmetry algebra is derived so that it generates the r...

The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index...

Let $(G,K)$ be a Gelfand pair, with $G$ Lie group of polynomial growth, and let $\\Sigma\\subset\\mathbb R^\\ell$ homeomorphic image the spectrum, obtained by choosing generating system $D1,\\dots,D\\ell$ $G$-invariant differential operators on $G/K$ associating to bounded spherical function $\\phi$ $\\ell$-tuple its eigenvalues under action $D_j$'s. We say that property (S) holds for if transf...

We give a covariant realization of the doubled sigma-model formulation duality-symmetric string theory within general framework para-Hermitian geometry. define notion generalized metric on manifold and discuss its relation to Born show that geometry uniquely defines worldsheet with target space, we describe Lie algebroid gauging as means recovering conventional description physical background l...

Fourier transform spectra of near-infrared laser-induced fluorescence in (39)K(6)Li show transitions to high vibrational levels of both the X (1)Sigma(+) and a (3)Sigma(+) electronic states. These include 147 transitions into six vibrational levels of the a (3)Sigma(+) state, which lie between 7 and 88 cm(-1) below the dissociation asymptote. Unfortunately, their energies span less than 30% of ...