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- W2013606502 abstract "Off-shell, unoriented, open bosonic string amplitudes correspond to Klein surfaces with mixed (Neumann and Dirichlet) boundary conditions and corners. The standard surface-doubling procedures (Schottky, orienting, and complex) are generalized to yield new doubles of use for mixed boundary conditions. Multiple doubling yields various quadruple and octuple surfaces. In particular, a Klein surface with mixed conditions and corners has a compact oriented quadruple which is a Riemann surface with certain symmetries. Determinants of Laplacians on the Klein surface are related to determinants on this quadruple, and to determinants on a compact, oriented (but singular) double surface. Unlike the case for uniform boundary conditions, which uses one double surface, it does not seem possible to obtain the amplitude on the Klein surface as an elegant ‘‘fourth root’’ of an amplitude on the quadruple alone. When regularized, the relation between the amplitudes acquires correction terms, involving the integrated geodesic curvature of the boundary. A Weyl anomaly from the corners of the original surface is hidden in a determinant on the singular double." @default.
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- W2013606502 date "1991-10-01" @default.
- W2013606502 modified "2023-10-16" @default.
- W2013606502 title "Surface quadrupling and regularized off‐shell amplitudes for unoriented, open, bosonic strings" @default.
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- W2013606502 doi "https://doi.org/10.1063/1.529082" @default.
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