A Universal w String Theory

Details A Universal w String Theory A Universal w String Theory

1994-03-16

arxiv.org/abs/hep-th/9403086v4

Int.J.Mod.Phys. A10 (1995) 827-844

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, uses PHYZZX, typological errors corrected, OU-HET 187

Scientific paper

10.1142/S0217751X95000401

It has been shown that there is a sequential embedding structure in a $w_N$\ string theory based on a linearized $W_N$\ algebra. The $w_N$\ string theory is obtained as a special realization of the $w_{N+1}$\ string. The $w_{\infty}$\ string theory is a universal string theory in this sense. We have also shown that there is a similar sequence for $N=1$\ string theory. The $N=1\ w_N$\ string can be given as a special case of the $N=1\ w_{N+1}$\ string. In addition, we show that the $w_3$\ string theory is obtained as a special realization of the $N=1\ w_3$\ string. We conjecture that the $w_N$\ string can be obtained as a special $N=1\ w_N$\ string for general $w_N$. If this is the case, $N=1\ w_{\infty}$\ string theory is more universal since it includes both $N=0$\ and $N=1$\ $w_N$\ string theories.

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