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Journal ArticleDOI

CFT's from Calabi–Yau four-folds

18 Sep 2000-Nuclear Physics (North-Holland)-Vol. 584, Iss: 1, pp 69-108
TL;DR: In this article, the authors consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau fourfold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes.
About: This article is published in Nuclear Physics.The article was published on 2000-09-18 and is currently open access. It has received 1516 citations till now. The article focuses on the topics: Calabi–Yau manifold & Compactification (physics).
Citations
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Journal ArticleDOI
TL;DR: In this article, the authors show that the hierarchy of scales can be fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold, and give examples involving orientifold compactifications of type IIB string theory and F-theory compactifications on Calabi-Yau fourfolds.
Abstract: Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of type-IIB string theory and F-theory compactifications on Calabi-Yau fourfolds. In each case, the hierarchy of scales is fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining $\mathcal{N}=1$ supersymmetric gauge theory, and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.

2,548 citations


Cites background from "CFT's from Calabi–Yau four-folds"

  • ...Earlier discussions of fourfold compactifications with nontrivial fluxes can be found in [33, 8, 32, 39]....

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  • ...Turning on fluxes deforms the geometry of the compactification, and in the four-dimensional effective theory generates a potential for the massless moduli [8, 32]....

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  • ...The fluxes generate a superpotential, which takes the form [8]...

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  • ...The expected F-theory generalization of this formula takes the form [8] W = ∫...

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  • ...The supersymmetric solutions are dual [8, 32] to the M theory solutions of ref....

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Journal ArticleDOI
TL;DR: In this paper, the authors studied the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory, and they showed that there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume.
Abstract: We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume. Both this and its de Sitter uplift are tachyon-free, thereby fixing all K?hler and complex structure moduli. Also, for the class of vacua described in this paper, the gravitino mass is independent of the flux discretuum, whereas the ratio of the string scale to the 4d Planck scale is hierarchically small but flux dependent. The inclusion of ?' corrections plays a crucial role in the structure of the potential. We illustrate these ideas through explicit computations for a particular Calabi-Yau manifold.

1,232 citations

Journal ArticleDOI
TL;DR: In this article, a general study of primordial scalar non-Gaussianity in single field inflationary models is performed, where the inflaton Lagrangian is an arbitrary function of the scalar field and its first derivative.
Abstract: We perform a general study of primordial scalar non-Gaussianities in single field inflationary models. We consider models where the inflaton Lagrangian is an arbitrary function of the scalar field and its first derivative, and the sound speed is arbitrary. We find that under reasonable assumptions, the non-Gaussianity is completely determined by 5 parameters. In special limits of the parameter space, one finds distinctive ''shapes'' of the non-Gaussianity. In models with a small sound speed, several of these shapes would become potentially observable in the near future. Different limits of our formulae recover various previously known results.

1,122 citations

Journal ArticleDOI
TL;DR: In this paper, a pedagogical overview of flux compactifications in string theory is presented, from the basic ideas to the most recent developments, focusing on closed-string fluxes in type-II theories.

1,085 citations


Cites methods from "CFT's from Calabi–Yau four-folds"

  • ...A flux generated superpotential was proposed by Gukov-Vafa-Witten (GVW) [141] for Mtheory compactifications to three dimensions on Calabi-Yau four-folds....

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Journal ArticleDOI
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.

1,004 citations

References
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Book
01 Jan 1978
TL;DR: In this paper, a comprehensive, self-contained treatment of complex manifold theory is presented, focusing on results applicable to projective varieties, and including discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.
Abstract: A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.

8,196 citations


"CFT's from Calabi–Yau four-folds" refers background in this paper

  • ...monic forms on any K¨ahler manifold, admits an SU(2) action which is as follows. (See [ 39 ],...

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Journal ArticleDOI
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.

1,679 citations


"CFT's from Calabi–Yau four-folds" refers methods in this paper

  • ...Moreover, though the multiple cover formula for multiple fivebrane wrapping in M -theory is not known, analogy with other multiple cover formulas (such as the formula for multiple covers by fundamental strings [36,37]) suggests that the sum over multiple covers of CP(3) will produce a pole at V = 0....

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Journal ArticleDOI
TL;DR: In this paper, it was shown that string theory on AdS5 × X5 can be described by a certain N = 1 supersymmetric gauge theory, which we describe in detail.

1,589 citations

Journal ArticleDOI
TL;DR: In this paper, the properties of chiral operators in N = 2 superconformal theories were investigated under a one-parameter family of twists generated by the U(1) current.

984 citations

Journal ArticleDOI
TL;DR: In this article, nonperturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order e − 1/g s contributions, where g s is the string coupling.

963 citations