Thomas Filk 2000 Class. Quantum Grav. 17 4841 doi:10.1088/0264-9381/17/23/304
Thomas Filk
Show affiliationsWe present simple models which exhibit some of the remarkable features expected to hold for the as yet unknown non-perturbative formulation of string theories. Among these are: (a) the absence of a background or embedding space for the full theory; (b) perturbative ground states (local minima of the action) having the characteristics of spaces of different dimension; (c) duality transformations between large- and small-coupling expansions; and (d) perturbative excitations of these ground states which can be interpreted as string worldsheets or p-brane worldvolumes. In this context we formulate gauge theories on arbitrary graphs and speculate concerning actions for graphs which in a continuum and/or thermodynamic limit might be related to the Einstein-Hilbert action.
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 23 (7 December 2000)
Received 11 June 2000
Thomas Filk 2000 Class. Quantum Grav. 17 4841
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