Showing papers by "Suresh Govindarajan published in 1997"
TL;DR: In this article, the relation between parabolic Higgs vector bundles and irreducible representations of the fundamental group of punctured Riemann surfaces established by Simpson has been studied and the real dimension of one of the components of this space of representations is computed.
Abstract: In this paper we study the relation between parabolic Higgs vector 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, 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 Teichmuller space introduced by Hitchin, and which in the case of k = 2 is the usual Teichmuller space of the punctured surface.
24 citations
TL;DR: In this paper, it was shown that at generic points in Narain moduli space, the E8 x E8 heterotic string compactified on T2 is described in M(atrix) theory by N = 4 SYM in 3 + 1 dimensions with base S 1 x C P 1 and a holomorphically varying coupling constant.
10 citations
TL;DR: In this paper, the authors consider M(atrix) theory compactification to seven dimensions with eight unbroken supersymmetries and show that the seven-dimensional duality between M theory on K3 and heterotic string theory on T{sup 3} is realized as the exchange of one of the dimensions with this new dimension.
Abstract: We consider M(atrix) theory compactifications to seven dimensions with eight unbroken supersymmetries. We conjecture that both M(atrix) theory on K3 and heterotic M(atrix) theory on T{sup 3} are described by the same (5+1)-dimensional theory with N=2 supersymmetry broken to N=1 by the orbifold projection. The emergence of the extra dimension follows from a recent result of Rozali [Phys. Lett. B {bold 400}, 260 (1997)]. We show that the seven-dimensional duality between M theory on K3 and heterotic string theory on T{sup 3} is realized in M(atrix) theory as the exchange of one of the dimensions with this new dimension. {copyright} {ital 1997} {ital The American Physical Society}
10 citations
TL;DR: In this paper, it was shown that at generic points in Narain moduli space, the Heterotic string compactified on $T^2$ is described in M(atrix) theory by N=4 SYM in 3+1 dimensions with base $S^1 \times CP^1$ and a holomorphically varying coupling constant.
Abstract: Type II compactifications with varying string coupling can be described elegantly in F-theory/M-theory as compactifications on U - manifolds. Using a similar approach to describe Super Yang-Mills with a varying coupling constant, we argue that at generic points in Narain moduli space, the $E_8 \times E_8$ Heterotic string compactified on $T^2$ is described in M(atrix) theory by N=4 SYM in 3+1 dimensions with base $S^1 \times CP^1$ and a holomorphically varying coupling constant. The $CP^1$ is best described as the base of an elliptic K3 whose fibre is the complexified coupling constant of the Super Yang-Mills theory leading to manifest U-duality. We also consider the cases of the Heterotic string on $S^1$ and $T^3$. The twisted sector seems to (almost) naturally appear at precisely those points where enhancement of gauge symmetry is expected and need not be postulated. A unifying picture emerges in which the U-manifolds which describe type II orientifolds (dual to the Heterotic string) as M- or F- theory compactifications play a crucial role in Heterotic M(atrix) theory compactifications.
10 citations
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TL;DR: Using the differential equation approach to W-algebras, the existence of different kinds of punctures in W-string theory is discussed in this article, which is similar to the NS and R punctures occuring in superstring theories.
Abstract: Using the differential equation approach to W-algebras, we discuss the inclusion of punctures in W-string theory The key result is the existence of different kinds of punctures in W-strings This is similar to the NS and R punctures occuring in superstring theories We obtain the moduli associated with these punctures and present evidence in existing W-string theories for these punctures The $W_3$ case is worked out in detail It is conjectured that the $(1,3)$ minimal model coupled to two dimensional gravity corresponds to topological $W_3$-gravity
1 citations