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Some Comments On String Dynamics
Edward Witten
- pp 501-523
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TLDR
In this paper, a self-dual non-critical string appears in Type IIB superstring theory at points in the moduli space where the Type IIA theory has extended gauge symmetry.Abstract:
Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge symmetry; a conformal field theory singularity at such points which may signal quantum effects that persist even at weak coupling; and the rich dynamics of the real world under compactification, which may be relevant to some attempts to explain the vanishing of the cosmological constant.read more
Citations
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Anti-de Sitter Space, Thermal Phase Transition, And Confinement in Gauge Theories
TL;DR: The correspondence between supergravity and string theory on AdS space and boundary conformal eld theory relates the thermodynamics of N = 4 super Yang-Mills theory in four dimensions to the thermodynamic properties of Schwarzschild black holes in Anti-de Sitter space as mentioned in this paper.
Posted Content
Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories
TL;DR: The correspondence between supergravity and string theory on $AdS$ space and boundary conformal field theory relates the thermodynamics of super Yang-Mills theory in four dimensions to the thermodynamic properties of Schwarzschild black holes in Anti-de Sitter space as discussed by the authors.
Journal ArticleDOI
Small instantons in string theory
TL;DR: In this article, it was shown that the quantum heterotic string has vacua with higher rank than is possible in conformal field theory, and that an extra SU (2) gauge symmetry appears that is supported in the core of the instanton.
Posted Content
Wall-crossing, Hitchin Systems, and the WKB Approximation
TL;DR: In this article, the authors considered BPS states in a large class of d=4, N=2 field theories, obtained by reducing six-dimensional (2,0) superconformal field theories on Riemann surfaces, with defect operators inserted at points of the RiemANN surface.
Journal ArticleDOI
Evidence for heterotic - type I string duality
Joseph Polchinski,Edward Witten +1 more
TL;DR: In this paper, the implications of T -duality and extended gauge symmetry for the conjectured equivalence of heterotic and Type I superstrings were studied. But the results of the study were limited to the Dirichlet one-brane of Type I string theory.
References
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Journal ArticleDOI
String theory dynamics in various dimensions
TL;DR: The strong coupling dynamics of string theories in dimension d ⩾ 4 are studied in this paper, where it is argued that eleven-dimensional supergravity arises as a low energy limit of the ten-dimensional Type IIA superstring.
Book
Geometric Invariant Theory
TL;DR: Geometric invariant theory for moduli spaces has been studied extensively in the mathematical community as mentioned in this paper, with a large number of applications to the moduli space construction problem, see, for instance, the work of Mumford and Fogarty.
Book
Singular points of complex hypersurfaces
TL;DR: The Singular Points of Complex Hypersurfaces (AM-61) as mentioned in this paper is a seminal work in the area of complex hypersurfaces, and is based on as mentioned in this paper.
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Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
TL;DR: In this article, the authors studied four dimensional N = 2 supersymmetric gauge theories with matter multiplets and derived the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.
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Phases of N = 2 theories in two dimensions
TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.