Embeddings for Non-Critical Superstrings

Abstract

It was previously shown that at critical central charge, $N$-extended superstrings can be embedded in $(N+1)$-extended superstrings. In other words, $(N=0,c=26)\to (N=1,c=15)\to (N=2,c=6)\to (N=3,c=0)\to (N=4,c=0)$. In this paper, we show that similar embeddings are also possible for $N$-extended superstrings at non-critical central charge. For any $x$, the embedding is $(N=0,c=26+x)\to (N=1,c=15+x)\to (N=2,c=6+x)\to (N=3,c=x)\to (N=4,c=x)$. As was conjectured by Vafa, the $(N=2,c=9)\to (N=3,c=3)$ embedding can be used to prove that $N=0$ topological strings are special vaccua of N=1 topological strings.

8 pages latex, KCL-TH-94-6 and OU-HET 189

References in corpus (10)

• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• On the Uniqueness of String Theory
• d\leq1\bigcup d\geq25$andConstrainedKPHierarchyfromBRSTInvarianceinthe$c\neq3$ Topological Algebra
• $N=1$ from $N=2$ Superstrings
• Note on N=0 string as N=1 string
• Toward the Universal Theory of Strings
• On the BRST Operator Structure of the N=2 String
• A Locally Supersymmetric Action for the Bosonic String
• N=2 String as a Topological Conformal Algebra
• On the Universal String Theory

Cited by in corpus (8)

• UNIVERSAL STRING AND SMALL $N=4$ SUPERSTRING
• Hamiltonian Reduction of Supersymmetric WZNW Models on Bosonic Groups and Superstrings
• Note on W3 Realizations of the Bosonic String
• Worldsheets with Extended Supersymmetry
• The Berkovits-Vafa Construction and Nonlinear Realizations
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• A Note on Consistent Anomalies
• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings