Strings in a Space with Tensor Central Charge Coordinates

TL;DR

This paper introduces new string models in four-dimensional space-time extended by tensor central charge coordinates, demonstrating how these coordinates generate string tension and alter the string worldsheet properties, with solutions and supersymmetric extensions.

Contribution

The paper constructs novel string models incorporating tensor central charge coordinates, showing their role in generating tension and modifying string worldsheet characteristics.

Findings

Tensor central charge coordinates generate string tension.

Presence of $z_{mn}$ lifts light-like character of tensionless strings.

A supersymmetric version of the model is formulated.

Abstract

New string models in D=4 space-time extended by tensor central charge coordinates $z_{mn}$ are constructed. We use the $z_{mn}$ coordinates to generate string tension using a minimally extended string action linear in $dz^{mn}$. It is shown that the presence of $z_{mn}$ lifts the light-like character of the tensionless string worldsheet and the degeneracy of its induced metric. We analyse the equations of motion and find a solution of the string equations in the generalized D=(4+6)-dimensional space $X^{\cal M}=(x^{m},z^{mn})$ with $z_{mn}$ describing a spin wave process. A supersymmetric version of the proposed model is formulated.