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.
About: This article is published in Physics Letters B.The article was published on 1981-07-23. It has received 2908 citations till now. The article focuses on the topics: Liouville field theory & Quantum geometry.
Citations
More filters
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
5,610 citations
Cites background from "Quantum Geometry of Bosonic Strings..."
...In the standard quantization of four dimensional string theory an additional field called the Liouville field arises [4], which may be interpreted as a fifth space-time dimension....
[...]
...Indeed, if one wants to quantize a four dimensional string theory an anomaly appears that forces the introduction of an extra field, sometimes called the “Liouville” field [4]....
[...]
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.
4,595 citations
Book•
15 May 2003TL;DR: In this article, the authors present a list of the top five most important categories of defense: 1. GRAVITY 7. MICROSCOPIC PHYSICS 13.2.
Abstract: 2. GRAVITY 7. MICROSCOPIC PHYSICS 13. TOPOLOGY OF DEFECTS 18. ANOMALOUS NON-CONSERVATION OF FERMIONIC CHARGE 22. EDGE STATES AND FERMION ZERO MODES ON SOLITON 26. LANDAU CRITICAL VELOCITY 29. CASIMIR EFFECT AND VACUUM ENERGY
2,450 citations
TL;DR: In this article, the anomalous dimensions of the Wess-Zumino fields are found exactly, and the multipoint correlation functions are shown to satisfy linear differential equations, in particular, Witten's non-abelean bosonisation rules are proven.
1,793 citations
TL;DR: In this article, the BRST method is used to covariantly quantize superstrings, and in particular to construct the vertex operators for string emission as well as the supersymmetry charge.
1,538 citations
References
More filters
TL;DR: In this article, the supersymmetric Liouville equation is extended to the case of super-symmetric strings, and the effective theory which sums up fermionic surfaces is described by the super-ymmetric Lévy equation.
740 citations
TL;DR: In this article, it was shown that gauge fields can be considered as chiral fields defined on the space of all possible contours, which leads to an infinite number of functionally conserved currents.
292 citations
TL;DR: In this paper, the number of instantons and zero fermion modes in the field of instanton was calculated and the quantum fluctuations of the instantons were studied. But the authors did not consider the quantum properties of the modes.
Abstract: The number of instantons and the number of zero fermion modes in the field of instanton are calculated. The quantum fluctuations of instantons are studied.
122 citations
TL;DR: In this article, a theory describing the coupling of complex supergravity to a complex supersymmetric matter multiplet in two dimensions is derived, and the invariances of this action account both for the constraints and the equations of motion of the linearized version of the string theory.
104 citations