On $W_{\infty/2}$ Strings

TL;DR

This paper explores a string theory based on gauging the /2 subalgebra of , calculates its critical central charge as 1, and analyzes the physical states of the resulting theory.

Contribution

It introduces a new string theory framework based on /2 symmetry and computes its critical central charge using zeta-function techniques.

Findings

Critical central charge c=1 determined.

Construction of a critical string theory with /2 symmetry.

Analysis of physical states in the /2 string theory.

Abstract

The string theory defined by gauging $\W_{\infty/2}$, the sub-algebra of $\W_{\infty}$ generated by the currents of even spin, is discussed. The critical value of the central charge is calculated using zeta-function techniques and shown to be $c=1$. A critical string theory is constructed by coupling a free boson to $\W_{\infty/2}$-gravity and the physical states are analysed.