Showing papers by "Suresh Govindarajan published in 1995"
TL;DR: In this paper, the uniformisation problem underlying the geometry of Wn-gravity using the differential equation approach to W-algebras is formulated using isomonodromic deformations of linear differential equations, and the Wnmanifold is obtained by the quotient of a Fuchsian subgroup of PSL(n, R ) which acts properly discontinuously on a simply connected domain in C Pn − 1.
25 citations
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TL;DR: In this article, the relation between parabolic Higgs bundles and irreducible representations of punctured Riemann surfaces established by Simpson was studied, and the real dimension of one of the components of this space of representations, which in the absence of punctures is the generalized Teichm\"uller space introduced by Hitchin, was computed.
Abstract: In this paper we study the relation between parabolic Higgs bundles and irreducible representations of the fundamental group of punctured Riemann surfaces established by Simpson. We generalize a result of Hitchin, identifying those parabolic Higgs bundles that correspond to Fuchsian representations. We also study the Higgs bundles that give representations whose image is contained, after conjugation, in SL($k,\Bbb R$). We compute the real dimension of one of the components of this space of representations, which in the absence of punctures is the generalized Teichm\"uller space introduced by Hitchin, and which in the case of $k=2$ is the Teichm\"uller space of the Riemann surface.
21 citations
TL;DR: In this paper, the Teichmuller spaces obtained by Hitchin to WAn-gravity were derived by identifying the flat PSL(n + 1, R ) connections of Hitchin and connections of generalised vielbeins and connections.
12 citations
TL;DR: In this article, all string tree level correlation functions of vertex operators in c < 1 string theory are computed by using the ring structure of the theory and the correlation functions after perturbation by physical vertex operators.
Abstract: We compute all string tree level correlation functions of vertex operators in c < 1 string theory. This is done by using the ring structure of the theory. In order to study the multicritical behavior, we calculate the correlation functions after perturbation by physical vertex operators. We show that the (2k − 1, 2) models can be obtained from the (1, 2) model and the minimal models can be obtained from the (1, p) model by perturbing the action with appropriate physical operators. Our results are consistent with known results from matrix models.
5 citations
TL;DR: In this paper, it was shown that higher dimensional complex manifolds provide the analog of superspace for W-gravity and that W-symmetry linearises on these spaces.
Abstract: Recently, certain higher dimensional complex manifolds were obtained in [hep-th/9412078] by associating a higher dimensional uniformisation to the generalised Teichm\"uller spaces of Hitchin. The extra dimensions are provided by the ``times'' of the generalised KdV hierarchy. In this paper, we complete the proof that these manifolds provide the analog of superspace for W-gravity and that W-symmetry linearises on these spaces. This is done by explicitly constructing the relationship between the Beltrami differentials which naturally occur in the higher dimensional manifolds and the Beltrami differentials which occur in W-gravity. This also resolves an old puzzle regarding the relationship between KdV flows and W-diffeomorphisms.
2 citations