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Strings on orbifolds

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TLDR
In this article, the authors considered string propagation on the quotient of a flat torus by a discrete group and obtained an exactly soluble and more or less realistic method of string compactification.
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This article is published in Nuclear Physics.The article was published on 1985-01-01. It has received 1870 citations till now. The article focuses on the topics: Type I string theory & Heterotic string theory.

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The Hierarchy problem and new dimensions at a millimeter

TL;DR: In this paper, the authors propose a new framework for solving the hierarchy problem which does not rely on either supersymmetry or technicolor, and they take as the only fundamental short distance scale in nature.
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Conformal invariance, supersymmetry and string theory

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.
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A Strong coupling test of S duality

TL;DR: By studying the partition function of N = 4 topologically twisted supersymmetric Yang-Mills on four-manifolds, this paper made an exact strong coupling test of the Montonen-Olive strong-weak duality conjecture.
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Classical and Quantum Conformal Field Theory

TL;DR: In this article, the authors define the classical limit of a conformal field theory as a limit in which the conformal weights of all primary fields vanish, and define chiral vertex operators and duality matrices and review the fundamental identities they satisfy.
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Four-dimensional string compactifications with D-branes, orientifolds and fluxes

TL;DR: In this paper, a review article provides a pedagogical introduction to various classes of chiral string compactifications to four dimensions with D-branes and fluxes with the main concern being to provide all necessary technical tools to explicitly construct four-dimensional orientifold vacua, with the final aim to come as close as possible to the supersymmetric standard model.
References
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Journal ArticleDOI

Anomaly cancellations in supersymmetric D=10 gauge theory and superstring theory

TL;DR: In this article, a superstring theory for E 8 × 8 × E 8 has been constructed, based on SO(32) and the remaining pieces of all the anomalies cancel if the gauge group is SO (32) or E 8×E 8.
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Vacuum configurations for superstrings

TL;DR: In this paper, the authors studied candidate vacuum configurations in ten-dimensional O(32) and E 8 × E 8 supergravity and superstring theory that have unbroken N = 1 supersymmetry in four dimensions.
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Constraints on Supersymmetry Breaking

TL;DR: In this paper, some nonperturbative constraints on supersymmetry breaking are derived and it is demonstrated that dynamical supersymmetric breaking does not occur in certain interesting classes of theories.
Book

A Course in Arithmetic

TL;DR: In this article, the theorem on arithmetic progressions modular forms is proved for finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratics forms with discriminant +-1.
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The Heterotic String

TL;DR: A new type of superstring theory is constructed as a chiral combination of the closed D=26 bosonic and D=10 fermionic strings, which is supersymmetric, Lorentz invariant, and free of tachyons.
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