AFFINE STRINGS

Affine Strings

A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function f (R) of the scalar curvature. This is a classically integrable model. The space of classical solutions of the theory consists from se...

Curved Spacetime Geometry for Strings and Affine Non-compact Algebras

Affine Kac-Moody algebras, CHL strings and the classification of tops

Candelas and Font introduced the notion of a ‘top’ as half of a three dimensional reflexive polytope and noticed that Dynkin diagrams of enhanced gauge groups in string theory can be read off from them. We classify all tops satisfying a generalized definition as a lattice polytope with one facet containing the origin and the other facets at distance one from the origin. These objects torically ...

The Brst Symmetry of Affine Lie Superalgebras and Non-critical Strings

The topological eld theories associated with a ne Lie superalgebras are constructed. Their BRST symmetry is characterised by a Kazama algebra containing spin 1, 2 and 3 operators and closes linearly. Under this symmetry all operators are grouped into BRST doublets. The relation between the models constructed and non-critical string theories is explored.

Affine Computation and Affine Automaton

We introduce a quantum-like classical computational model, called affine computation, as a generalization of probabilistic computation. After giving the basics of affine computation, we define affine finite automata (AfA) and compare it with quantum and probabilistic finite automata (QFA and PFA, respectively) with respect to three basic language recognition modes. We show that, in the cases of...