Strongly Topological Interactions of Tensionless Strings

Details Strongly Topological Interactions of Tensionless Strings Strongly Topological Interactions of Tensionless Strings

1994-05-31

arxiv.org/abs/hep-th/9405195v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures available upon request, plain LaTeX, USITP-94-04, Eq. 12 on ultralocality corrected

Scientific paper

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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