Extra Dimensions in Superstring Theory

Abstract

It was earlier shown that an SO(9,1) $θ^\a$ spinor variable can be constructed from RNS matter and ghost fields. $θ^\a$ has a bosonic worldsheet super-partner $λ^\a$ which plays the role of a twistor variable, satisfying $\lambda {\Gamma }^{\mu }\lambda =\partial x^{\mu }+i\theta {\Gamma }^{\mu }\partial \theta$. For Type IIA superstrings, the left-moving $[θ_L^\a,λ_L^\a]$ and right-moving $[θ_{R\a},λ_{R\a}]$ can be combined into 32-component SO(10,1) spinors $[{\theta }^A,{\lambda }^A]$. This suggests that $λ^A Γ^{11}_{AB}λ^B= 2λ_L^\a λ_{R\a}$ can be interpreted as momentum in the eleventh direction. Evidence for this interpretation comes from the zero-momentum vertex operators of the Type IIA superstring and from consideration of $D_0$-branes. As in the work of Bars, one finds an SO(10,2) structure for the Type IIA superstring and an SO(9,1) x SO(2,1) structure for the Type IIB superstring.

18 pages harvmac tex (references added and paragraph corrected concerning central charges in the SUSY algebra)

References in corpus (4)

• Introduction to string field theory
• Self-Dual Supergravity from N=2 Strings
• Ramond-Ramond Central Charges in the Supersymmetry Algebra of the Superstring
• S-Duality as an Open String Gauge Symmetry

Cited by in corpus (9)

• Microscopic string analysis of the D0-D8 brane system and dual R-R states
• Vertex Operators for Closed Superstrings
• Green-Schwarz superstring action in a curved magnetic Ramond-Ramond background
• Conformal Compensators and Manifest Type IIB S-Duality
• Ramond-Ramond Central Charges in the Supersymmetry Algebra of the Superstring
• On covariant $\kappa -$symmetry fixing and the relation betwen the NSR string and the Type II GS superstring
• Contact terms, symmetries and D-instantons
• Covariant $\kappa -$Symmetry Gauge Fixing and the Classical Relation Between Physical Variables of the NSR String and the Type II GS Superstring
• New Superembeddings for Type II Superstrings