New Superstring Isometries and Hidden Dimensions

Abstract

We explore the hierarchy of hidden space-time symmetries of noncritical strings in RNS formalism, realized nonlinearly. Under these symmetry transformations the variation of the matter part of the RNS action is cancelled by that of the ghost part. These symmetries, referred to as the $\alpha$-symmetries, are induced by special space-time generators, violating the equivalence of ghost pictures. We classify the $\alpha$-symmetry generators in terms of superconformal ghost cohomologies $H_n\sim H_{-n-2}(n\ge 0)$ and associate these generators with a chain of hidden space-time dimensions, with each ghost cohomology $H_n\sim H_{-n-2}$ ``contributing'' an extra dimension. Namely, we show that each ghost cohomology $H_n\sim H_{-n-2}$ of non-critical superstring theory in $d$-dimensions contains $d+n+1$ $\alpha$-symmetry generators and the generators from $H_k\sim H_{-k-2},1\le k\le n$, combined together, extend the space-time isometry group from the naive $SO(d,2)$ to $SO(d+n,2)$. In the simplest case of $n=1$ the $\alpha$-generators are identified with the extra symmetries of the $2T$-physics formalism, also known to originate from a hidden space-time dimension.

26 pages typos corrected

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• Evidence for F-Theory
• Ground Ring Of Two Dimensional String Theory
• Interaction of Discrete States in Two-Dimensional String Theory
• S-Theory
• Lifting M-theory to Two-Time Physics
• Supersymmetric Two-Time Physics
• Gravitational Dressing of Renormalization Group
• Hidden Symmetries, AdS_D x S^n, and the lifting of one-time-physics to two-time-physics
• Ghost Cohomologies and Hidden Space-Time Symmetries
• New Discrete States in Two-Dimensional Supergravity

Cited by in corpus (4)

• $\alpha$-Symmetries, Coloured Dimensions and Gauge-String Correspondence
• New BRST Charges in RNS Superstring Theory and deformed Pure Spinors
• Ground Ring of Alpha-Symmetries and Sequence of RNS String Theories
• (Non)triviality of Pure Spinors and Exact Pure Spinor - RNS Map