Pseudo-Riemannscher Raum , Stringtheorie , Unendlichdimensionales System , Hamiltonsches System
Freie Schlagwörter (Englisch):
semi-Riemannian manifold , conformal symmetry , infinite dimensional Hamiltonian systems
Abstract:
The possibility of branching processes for classical strings is investigated on the basis of the Nambu-Goto action. We parametrize the world sheet by a Riemann surface M and introduce a C∞-smooth, degenerate metric η on M. Well-known results about the conformal group are generalized to the case of (M, η). We provide a rigorous, infinite dimensional Hamiltonian setting for processes that change the topology of a string. Finally, the classical background for the theory of quantum strings as developed by Krichever and Novikov in 1987 is discussed within this classical framework.
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