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Strongly Topological Interactions of Tensionless Strings

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arxiv hep-th/9405195 v2 pith:KRWE4KAU submitted 1994-05-31 hep-th

classification hep-th
keywords stringtopologicalvectoramplitudesdensitymetricquantumtensionless
verification ladder T0 review T1 audit T2 compute T3 formal
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The tensionless limit of classical string theory may be formulated as a topological theory on the world-sheet. A vector density carries geometrical information in place of an internal metric. It is found that path-integral quantization allows for the definition of several, possibly inequivalent quantum theories. String amplitudes are constructed from vector densities with zeroes for each in- or out-going string. It is shown that independence of a metric in quantum mechanical amplitudes implies that the dependence on such vector density zeroes is purely topological. For example, there is no need for integration over their world-sheet positions.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Null Strings Gauged and Reloaded, I: Null Strings Have Carroll-Weyl Gauge Symmetry

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Null strings admit two Carroll-Weyl gauge scalings; the standard ILST action arises by fixing one of them, with the residual symmetry matching an overlooked partial gauge symmetry identified in prior work.

  2. Quantum Anomalies of Tensionless Bosonic Strings

    hep-th 2026-08 conditional novelty 6.0 of 10

    A unified BRST analysis shows the flipped-vacuum anomaly fixes D=26 for the ILST null string, leaves a λ-family of critical dimensions for the hybrid string, and rules out the conformal and Carroll-Weyl strings.

  3. Null Strings Gauged and Reloaded, II: Consistent Classical Treatment of the Null Strings

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Null strings exhibit an independent Carroll-Weyl gauge symmetry that necessitates an extended BMS₃ algebra of constraints.

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