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The space of states and wave equation for the boson string with non- trivial topology of the world surface. (Russian. English summary) Zbl 0679.57011

The author gives the quantum description of a relativistic string with nontrivial topology of the world surface. His method is based on a generalization of BRST transformation to a topologically nontrivial world surface. The results are compared with those previously obtained by E. Martinec [Nucl. Phys. B 281, 157-210 (1987)].
Reviewer: M.Monastyrski

MSC:

57R22 Topology of vector bundles and fiber bundles
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
58J90 Applications of PDEs on manifolds
55R10 Fiber bundles in algebraic topology
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