Proposals on nonperturbative superstring interactions

TL;DR

This paper explores how matrix models related to M-theory may inherently include known superstring theories, proposing mechanisms for string representation and providing initial proofs of key relationships within this framework.

Contribution

It introduces a novel mechanism called 'screwing strings to matrices' to represent strings with large P^+ and offers initial proofs of the radius-coupling power law in matrix models.

Findings

Strings with P^+/epsilon > 1 can be represented in matrix models.

A mechanism for 'screwing strings to matrices' is proposed.

Proof of the 2/3 power law between radius and coupling constant.

Abstract

We show a possibility that the matrix models recently proposed to explain (almost) all the physics of M-theory may include the superstring theories that we know perturbatively. The ``1st quantized'' physical system of one IIA string seems to be an exact consequence of M(atrix) theory with a proper mechanism to mod out a symmetry. The central point of the paper is the representation of strings with P^+/epsilon greater than one. I call the mechanism ``screwing strings to matrices''. I also give the first versions of the proof of 2/3 power law between the compactification radius and the coupling constant in this formulation. Multistring states are involved in a M(atrix) theory fashion, replacing the 2nd quantization that I briefly review. We shortly discuss the T-dualities, type I string theory and involving of FP ghosts to all the systems including the original one of Banks et al.