Heterotic string models in which the space-time gauge symmetry is realized as a level k > 2 Kac-Moody algebra on the string world-sheet offer phenomenological features not present for the level k = 1 case (which includes all heterotic string models seriously considered to date). In particular, string models with N=l space-time supersymmetry and/or chiral matter fields can contain massless scala...

Hatayama et al. described generalized Rogers–Ramanujan (GRR) expressions for the string functions of singlet representation twisted affine algebras. We give here such GRR some non-singlet functions. In case algebra [Formula: see text], this gives all verify these using Freudenthal–Kac formula.

We study the Magnus representation for homology cylinders as a generalization of the Gassner representation for string links defined by Le Dimet [12] and Kirk-Livingston-Wang [11]. As an application, we give some factorization formulas of higher-order degree invariants defined by Harvey in [9], [10] for closed three dimensional manifolds obtained from homology cylinders.

The Symmetry Set (SS) and its representation in parameter space, the pre-Symmetry Set, can be used to describe a shape with a linear data structure containing strings. As shape descriptor one specific string can be chosen. This string represents not only the major axis of the shape, but it also contains information of the complete shape. The string is augmented with information about the specia...

We propose gauging matrix models of string theory to eliminate unwanted non-singlet states. To this end we perform a discretised light-cone quantisation of large N gauge theory in 1+1 dimensions, with scalar or fermionic matter fields transforming in the adjoint representation of SU(N). The entire spectrum consists of bosonic and fermionic closed-string excitations, which are free as N → ∞. We ...

The success of the spinor helicity technique for tree processes is reviewed. To apply it to multiloop diagrams one is naturally led to the Schwinger proper-time representation, whose properties are discussed. This representation also serves as a useful link between field theories and string theories.

We derive the coherent state representation of the integrable spin chain Hamil-tonian with non-compact supersymmetry group G =SU(1, 1|1). By passing to the continuous limit, we find a spin chain sigma model describing a string moving on the supercoset G/H, H being the stabilizer group. The action is written in a manifestly G-invariant form in terms of the Cartan forms and the string coordinates...

This paper deals with the recognition of printed basic Telugu characters using the discrete curves and approximation string matching. The features are extracted from smoothed images, obtained after the thinning operation. As by only thinning, spines may arise which will affect the recognition of the character. The features are the discrete curves, specified using the 3×3 regions of connected co...

Most common vulnerabilities in Web applications are due to string manipulation errors in input validation and sanitization code. String constraint solvers are essential components of program analysis techniques for detecting and repairing vulnerabilities that are due to string manipulation errors. For quantitative and probabilistic program analyses, checking the satisfiability of a constraint i...