String Bit Models for Superstring

Abstract

We extend the model of string as a polymer of string bits to the case of superstring. We mainly concentrate on type II-B superstring, with some discussion of the obstacles presented by not II-B superstring, together with possible strategies for surmounting them. As with previous work on bosonic string we work within the light-cone gauge. The bit model possesses a good deal less symmetry than the continuous string theory. For one thing, the bit model is formulated as a Galilei invariant theory in $(D-2)+1$ dimensional space-time. This means that Poincaré invariance is reduced to the Galilei subgroup in $D-2$ space dimensions. Naturally the supersymmetry present in the bit model is likewise dramatically reduced. Continuous string can arise in the bit models with the formation of infinitely long polymers of string bits. Under the right circumstances (at the critical dimension) these polymers can behave as string moving in $D$ dimensional space-time enjoying the full $N=2$ Poincaré supersymmetric dynamics of type II-B superstring.

43 pages, phyzzx required

References in corpus (5)

• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• Strings, Black Holes and Lorentz Contraction
• Reformulating String Theory with the $1/N$ Expansion
• Calculating the Rest Tension for a Polymer of String Bits
• Super-Galilei Invariant Field Theories in 2+1 Dimensions

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• The Small Scale Structure of Space-Time: A Bibliographical Review
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• BT Worldsheet for Supersymmetric Gauge Theories
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• Theory of Ultracold Superstrings
• Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations
• A Lie Algebra for Closed Strings, Spin Chains and Gauge Theories
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• Symmetries of Large N Matrix Models for Closed Strings
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• Stable String Bit Models
• Extremal Black Holes as Qudits
• The Size of a Polymer of String-Bits: A Numerical Investigation
• Symmetry Algebras of Large-N Matrix Models for Open Strings
• String Bits at Finite Temperature and the Hagedorn Phase
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
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• Numerical Study of the Simplest String Bit Model
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• Hagedorn Temperature in Superstring Bits and SU(N) Characters
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