Journal ArticleDOI
The Geometry of String Perturbation Theory
Eric D'Hoker,Duong H. Phong +1 more
TLDR
In this paper, recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time, is devoted to recent progress.Abstract:
This paper is devoted to recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time. Special emphasis is put on the fundamental role of Riemann surfaces and supersurfaces. The differential and complex geometry of their moduli space is developed as needed. New results for the superstring presented here include the supergeometric construction of amplitudes, their chiral and superholomorphic splitting and a global formulation of supermoduli space and amplitudes.read more
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Supersymmetric Gauge Theories and the AdS/CFT Correspondence
Eric D'Hoker,Daniel Z. Freedman +1 more
TL;DR: In this paper, the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory are assembled, and Brane solutions are surveyed.
Journal ArticleDOI
Perturbative quantum field theory in the string-inspired formalism
TL;DR: The string-inspired approach to perturbative quantum field theory was initiated by Bern and Kosower, originally with the aim of simplifying the calculation of scattering amplitudes in quantum chromodynamics and quantum gravity as discussed by the authors.
Journal ArticleDOI
Liouville Field Theory — A decade after the revolution
TL;DR: In this paper, a review of the recent developments of the Liouville field theory and its matrix model dual is presented, which includes some original material such as the derivation of the conjectured dual action for the N = 2 LiOUville theory from other known dualities and the comparison of the cross-cap state with the c = 0 unoriented matrix model.
Supersymmetric gauge theories and the AdS / CFT correspondence
Eric D'Hoker,Daniel Z. Freedman +1 more
TL;DR: In this paper, the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory are assembled, and Brane solutions are surveyed.
Journal ArticleDOI
Strings on world-sheet orbifolds
TL;DR: In this article, a new type-I superstring construction is proposed in which orbifold groups can also act on the ghost fields, and the crucial role of BRST invariance in the construction is analyzed.
References
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Journal ArticleDOI
On gauge invariance and vacuum polarization
TL;DR: In this paper, it was shown that the extraction of gauge invariants from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantities.
Journal ArticleDOI
Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
TL;DR: In this paper, the authors present an investigation of the massless, two-dimentional, interacting field theories and their invariance under an infinite-dimensional group of conformal transformations.
Journal ArticleDOI
Unity of All Elementary Particle Forces
Howard Georgi,Sheldon L. Glashow +1 more
TL;DR: In this paper, strong, electromagnetic, and weak forces are conjectured to arise from a single fundamental interaction based on the gauge group SU(5), which is known as SU(4).
Journal ArticleDOI
Axial vector vertex in spinor electrodynamics
TL;DR: In this article, the axial-vector vertex in spinor electrodynamics has anomalous properties which differ with those found by the formal manipulation of field equations, and the divergence of axial vector current is not the usual expression calculated from the field equations.
Journal ArticleDOI
Quantum Geometry of Bosonic Strings
TL;DR: In this article, a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.) is developed.