Ghosts in the Matter Forms

TL;DR

This paper reformulates conformal and super-conformal ghosts as matter fields, deriving a covariant action and analyzing its symmetries, with implications for superstring theory in various spacetime signatures.

Contribution

It introduces a matter form of ghost actions and explores their symmetries, providing new insights into superstring theory formulations.

Findings

Derived a covariant matter form of ghost actions

Analyzed Poincaré-like and supersymmetries of the new action

Discussed superstring target space signatures 10+2 and 11+3

Abstract

In this paper we study the matter form of the conformal and super-conformal ghosts action. That is, the ghost fields will be expressed in terms of some scalar and spinor fields. Thus, we obtain a two-dimensional covariant action in the matter form, $i.e.$ $S_g$. The Poincar\'e-like symmetries and various supersymmetries of this covariant action are analyzed. The signatures 10+2 and 11+3 for the total target space of the superstring theory also will be discussed.