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- W83062151 abstract "The original hope that string theory would provide a unique “theory of everything” has suffered serious drawbacks with the discovery [1] of an enormous number of models satisfying all the known consistency requirements. In general, any unitary conformal field theory with central charges for the holomorphic and antiholomorphic sectors (c,c) = (15 - 3/2d,26 - d), where d is the number of (uncompactified) space-time dimensions, provides, when combined with the space-time part in a consistent (modular invariant, etc.) way, a valid heterotic string model. Of course, there is the hope that some non-perturbative mechanism will be able to interpolate between the many different string vacua. At the moment there does not exist a formalism that allows to solve or even attack this problem. In view of this it seems to be desirable to make as many model independent statements of string theories as possible. It has been known that requiring space-time supersymmetry imposes severe restrictions on the models [3,4] . We will show how it determines the world-sheet symmetries and how the properties under space-time transformations, the superconformal ghost charge and the transformation under the global world-sheet symmetries of all allowed string states are unified by an underlying exceptional group. It also contains the information of extra, left-moving gauge bosons which extend the rank of the gauge group beyond 26 — d. The relation between the exceptional groups and space-time supersymmetry was first observed in the context of covariant lattices [2] ; it is however a general feature of supersymmetric string theories (c.f. below). We will restrict our attention to the phenomenologically interesting case of four-dimensional heterotic string theories for which the table below provides an exhaustive list of the connection between the various symmetries." @default.
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- W83062151 date "1989-01-01" @default.
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- W83062151 title "Space-time supersymmetries, world-sheet symmetries and exceptional groups" @default.
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- W83062151 doi "https://doi.org/10.1007/978-3-642-74136-4_132" @default.
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