String action with multiplet of $\Theta$-terms and the hidden Poincare symmetry

TL;DR

This paper investigates a string action with multiple $ heta$-terms, revealing a connection to D=11 superstring theory and identifying conditions under which light-cone quantization is anomaly-free, especially in D=27.

Contribution

It introduces a novel string action with multiplet $ heta$-terms, relates it to superstring and membrane solutions, and finds anomaly-free conditions in a 27-dimensional setting.

Findings

Light-cone quantization is possible with this model.

Anomaly terms vanish in the algebra of Poincare generators for D=27.

The model relates to the bosonic sector of D=11 superstring.

Abstract

We study string action with multiplet of $\Theta$-terms added, which turns out to be closely related with the bosonic sector of D=11 superstring action [3,4]. Alternatively, the model can be considered as describing class of special solutions of the membrane. An appropriate set of variables is find, in which the light-cone quantization turns out to be possible. It is shown that anomaly terms in the algebra of the light-cone Poincare generators are absent for the case D=27.