Non-commutative space and Chan–Paton algebra in open string field algebra

Non-Commutative Black Hole Algebra and String Theory from Gravity

We generalize the action found by ’t Hooft, which describes the gravitational interaction between ingoing and outgoing particles in the neighbourhood of a black hole. The effect of this back-reaction is that of a shock wave, and it provides a mechanism for recovering information about the momentum of the incoming particles. The new action also describes particles with transverse momenta and tak...

Non-commutative combinatorial algebra

Commutative Algebra Commutative Algebra : General

The Operator Quantization of the Open Bosonic String: Field Algebra

Our aim in this paper is to make explicit the operator theory of the heuristic open Bosonic string and to abstract a suitable field algebra for the string. This is done on a Fock-Krein space and we examine integrability and J-unitary implementability of all the defining transformations of the string, i.e. time translations, gauge transformations and Poincare transformations. The results obtaine...

Open Branes in Space-Time Non-Commutative Little String Theory

We conjecture the existence of two new non-gravitational six-dimensional string theories, defined as the decoupling limit of NS5-branes in the background of critical electrical twoand three-form RR fields. These theories are spacetime non-commutative Little String Theories with open branes. The theory with (2, 0) supersymmetry has an open membrane in the spectrum and reduces to OM theory at low...