Strongly Topological Interactions of Tensionless Strings
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 1994
- DOI:
- 10.48550/arXiv.hep-th/9405195
- arXiv:
- arXiv:hep-th/9405195
- Bibcode:
- 1994hep.th....5195S
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 13 pages, 3 figures available upon request, plain LaTeX, USITP-94-04, Eq. 12 on ultralocality corrected