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Kleinian Singularities and the Ground Ring of C=1 String Theory | Debashis Ghoshal
; Dileep P. Jatkar
; Sunil Mukhi
; | Date: |
21 Jun 1992 | Journal: | Nucl.Phys. B395 (1993) 144-166 | Abstract: | We investigate the nature of the ground ring of c=1 string theory at the special A-D-E points in the c=1 moduli space associated to discrete subgroups of SU(2). The chiral ground rings at these points are shown to define the A-D-E series of singular varieties introduced by Klein. The non-chiral ground rings relevant to closed-string theory are 3 real dimensional singular varieties obtained as U(1) quotients of the Kleinian varieties. The unbroken symmetries of the theory at these points are the volume-preserving diffeomorphisms of these varieties. The theory of Kleinian singularities has a close relation to that of complex hyperKahler surfaces, or gravitational instantons. We speculate on the relevance of these instantons and of self-dual gravity in c=1 string theory. | Source: | arXiv, hep-th/9206080 | Services: | Forum | Review | PDF | Favorites |
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