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Showing papers on "Topological string theory published in 1989"


Journal ArticleDOI
TL;DR: In this article, the authors present an account of string field theory which aims to introduce the reader to the important concepts of the subjects as well as to aid access to the literature.

209 citations


Journal ArticleDOI
TL;DR: The topological Yang-Mills theory and the topological sigma model are presented in a superspace formulation in this article, which greatly simplifies the field content of the theories, and makes the Q -invariance more obvious.

75 citations


Journal ArticleDOI
TL;DR: In this article, a variety of topological quantum field theories were constructed via BRST quantization, including supersymmetric quantum mechanics on an arbitrary riemannian manifold and a Yang-Mills-Higgs model related to the four-dimensional TQFT.

62 citations


01 Jan 1989

59 citations


Journal ArticleDOI
TL;DR: In this article, a new method for off-shell continuation is considered based on the introduction of the Maxwell term in the (2 + 1) theory, which leads to dynamical transmutation of the world-sheet dimensions.

32 citations


Journal ArticleDOI
TL;DR: In this article, a class of topological theories in arbitrary dimensions was described that bears a formal similarity to both Witten's theory of Donaldson invariants and Wittens theory of the Jones polynomial.

30 citations


Journal ArticleDOI
Roger Brooks1
TL;DR: In this article, a topological super Yang-Mills theory is given and used to compute elements of the cohomology classes of super-monopole moduli space.

19 citations


Journal ArticleDOI
TL;DR: In this article, a topological field theory for the two-dimensional abelian-Higgs instanton (vortex) moduli space has been derived, which explicitly breaks the gauge symmetry.

18 citations


Journal ArticleDOI
TL;DR: In this paper, the authors review the occurrence of exceptional groups in string theory: their dual role as gauge symmetry and as a symmetry unifying space-time, superconformal ghost and internal degrees of freedom.
Abstract: We review the occurrence of exceptional groups in string theory: their dual role as gauge symmetry and as a symmetry unifying space-time, superconformal ghost and internal degrees of freedom. In both cases the relation to the extended world-sheet supersymmetries is discussed in detail. This is used to construct the supermultiplet structure of the massless sectors of all supergravity theories possible in string theory, in even space-time dimensions between four and ten.

14 citations


Book ChapterDOI
Taichiro Kugo1
01 Jan 1989
TL;DR: In this article, the authors present a framework for string field theory (SFT) in which to reveal the nonperturbative dynamics as well as the underlying symmetry principles of string.
Abstract: String field theory (SFT) is certainly a, powerful and basic framework in which to reveal the nonperturbative dynamics as well as the underlying symmetry principles of string. Many active investigations have actually been done and are being done in that direction, and the corresponding developments have been achieved. Nevertheless we still have severe difficulties in constructing SFTs in a satisfactory manner.

13 citations



Journal ArticleDOI
TL;DR: In this paper, a quantum group generalization of string theory is presented, where a deformation of the Heidelberg commutation rules defines a one-parameter family of string models and a hamiltonian approach is developed.

Journal ArticleDOI
TL;DR: In this paper, it was shown that non-abelian Chern-Simons gauge theory in three dimensions is an exact soluble system for S 3 and non-simply connected manifolds which are homology three-spheres.


Journal ArticleDOI
TL;DR: In this article, Witten's string field theory is performed using an explicit expression for the effective action for general gauge theories obtained by Frolov and Slavnov (preprint MPI-PAE/PTh 9/89).

Journal ArticleDOI
TL;DR: In this paper, a theory of quantum gravity with interactions introduced by topological principle was proposed, and the fundamental property of such a theory is that its energy-momentum tensor is a BRST anticommutator.
Abstract: We propose the theory of quantum gravity with interactions introduced by topological principle. The fundamental property of such a theory is that its energy-momentum tensor is a BRST anticommutator. Physical states are elements of the BRST cohomology group. The model with only topological excitations, introduced recently by Witten, is discussed from the point of view of the induced gravity program. We find that the mass scale is induced dynamically by gravitational instantons. The low-energy effective theory has gravitons, which occur as the collective excitations of geometry, when the metric becomes dynamical. Applications of cobordism theory to quantum gravity are discussed.

Journal ArticleDOI
TL;DR: In this article, Witten's theory is extended to non-oriented strings, and SO(n) or Sp n) Chan-Paton factors are added to the result.
Abstract: U(n) gauge group Chan-Paton factors are added to Witten's (1986) string field theory. Witten's theory is extended to non-oriented strings, and SO(n) or Sp(n) Chan-Paton factors are added to the result. The case of the open superstring is discussed.

Journal ArticleDOI
TL;DR: An approach to the Witten string field theory based on the discretization of the world-sheet σ coordinate is work out, which considers the string fields as the limit N → ∞ of N point functions.

Journal ArticleDOI
TL;DR: In this paper, the authors consider the string field theory in the discretized approach, where the string is considered as the limit N → ∞ of a collection of N points.
Abstract: We consider the String Field Theory proposed by Witten in the discretized approach, where the string is considered as the limit N → ∞ of a collection of N points. In this picture the string functional is the limit of a succession of functions of an increasing number of variables; an object with some resemblances to distributions. Attention is drawn to the fact that the convergence is not of the uniform kind, and that therefore exchanges of limits, sums and integral signs can cause problems, and be ill defined. In this context we discuss some surface terms found by Woodard, which arise in integrations by parts, and argue that they depend crucially on the choice of the successions of function used to define the identity and vertices of the theory.

Journal ArticleDOI
01 Oct 1989
TL;DR: In this paper, a gauge-invariant field theory of interacting closed strings was proposed based on Witten's open string field theory. But the closed-string interaction is bilocal.
Abstract: We formulate a gauge-invariant field theory of interacting closed strings, based on Witten's open string field theory. The closed-string interaction is thus bilocal. We show that three-point couplings and the physical spectrum are in agreement with dual theory. Moreover, the four-point tree amplitude agrees with the Shapiro-Virasoro amplitude.

Journal ArticleDOI
TL;DR: In this article, a special extension of the Krichever-Novikov algebra for the theory of the boson string with the fixed topology world-sheet is discussed.