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Open AccessJournal ArticleDOI

On Orbifolds with Discrete Torsion

TLDR
In this article, the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion is considered, and examples of stringy regions that from a classical point of view are singularities that are to be neither resolved nor blown up are given.
Abstract
We consider the interpretation in classical geometry of conformal field theories constructed from orbifolds with discrete torsion. In examples we can analyze, these spacetimes contain ``stringy regions'' that from a classical point of view are singularities that are to be neither resolved nor blown up. Some of these models also give particularly simple and clear examples of mirror symmetry.

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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.
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D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model

TL;DR: In this paper, a bottom-up approach to the building of particle physics models from string theory is proposed, where the building blocks are Type II D-branes which are combined appropriately to reproduce desirable features of a particle theory model: 1) Chirality ; 2) Standard Model group ; 3) N = 1 orN = 0 supersymmetry ; 4) Three quark-lepton generations.
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Reading between the lines of four-dimensional gauge theories

TL;DR: In this paper, the authors show that the existence of these distinct theories clarifies a number of issues in electric/magnetic dualities of supersymmetric gauge theories, both for the conformal N = 4 theories and for the low-energy duality of N = 1 theories.
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D-branes on Calabi-Yau spaces and their mirrors

TL;DR: In this paper, the boundary states of D-branes wrapped around supersymmetric cycles in a general Calabi-Yau manifold were studied and the geometric data on the cycles were encoded in the boundary state.
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Constraints on low-dimensional string compactifications

TL;DR: In this article, the authors studied the restrictions imposed by cancellation of the tadpoles for two-, three-, and four-form gauge fields in string theory, and explored the relation of the membranes and three-branes to the nonperturbative space-time superpotential.
References
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Book

Singular points of complex hypersurfaces

John Milnor
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.
Journal ArticleDOI

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.
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Strings on orbifolds

TL;DR: 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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A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory

TL;DR: In this paper, the prepotentials and geometry of the moduli spaces for a Calabi-Yau manifold and its mirror were derived and all the sigma model corrections to the Yukawa couplings and moduli space metric were obtained.
Journal ArticleDOI

Modular invariance and discrete torsion on orbifolds

TL;DR: In this article, it was shown that fermionic left-right level matching is necessary and sufficient to guarantee modular invariance to 1-loop order in orbifold compactification of heterotic string.