6,370 research outputs found

    Integrated education, intergroup relations, and political identities in Northern Ireland

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    Published as Hayes, BC., McAllister, I. & Dowds, L. (2007). 'Integrated education, intergroup relations, and political identities in Northern Ireland.' Social Problems 54(4) pp. 454-482.© 2007 by Society for the Study of Social Problems, Inc. Copying and permissions notice: Authorization to copy this content beyond fair use (as specified in Sections 107 and 108 of the U. S. Copyright Law) for internal or personal use, or the internal or personal use of specific clients, is granted on behalf of the Society for the Study of Social Problems for libraries and other users, provided that they are registered with and pay the specified fee via Rightslink® on Caliber, http://caliber.ucpress.net/ or directly with the Copyright Clearance Center, http://www.copyright.com.Non peer reviewedPublisher PD

    Planckian Axions in String Theory

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    We argue that super-Planckian diameters of axion fundamental domains can naturally arise in Calabi-Yau compactifications of string theory. In a theory with NN axions θi\theta^i, the fundamental domain is a polytope defined by the periodicities of the axions, via constraints of the form π<Qjiθj<π-\pi<Q^{i}_{j} \theta^j<\pi. We compute the diameter of the fundamental domain in terms of the eigenvalues f12.˙.fN2f_1^2\le\...\le f_N^2 of the metric on field space, and also, crucially, the largest eigenvalue of (QQ)1(QQ^{\top})^{-1}. At large NN, QQQQ^{\top} approaches a Wishart matrix, due to universality, and we show that the diameter is at least NfNN f_{N}, exceeding the naive Pythagorean range by a factor >N>\sqrt{N}. This result is robust in the presence of P>NP>N constraints, while for P=NP=N the diameter is further enhanced by eigenvector delocalization to N3/2fNN^{3/2}f_N. We directly verify our results in explicit Calabi-Yau compactifications of type IIB string theory. In the classic example with h1,1=51h^{1,1}=51 where parametrically controlled moduli stabilization was demonstrated by Denef et al. in [1], the largest metric eigenvalue obeys fN0.013Mplf_N \approx 0.013 M_{pl}. The random matrix analysis then predicts, and we exhibit, axion diameters >Mpl>M_{pl} for the precise vacuum parameters found in [1]. Our results provide a framework for achieving large-field axion inflation in well-understood flux vacua.Comment: 42 pages, 4 figure

    Chaotic inflation with kinetic alignment of axion fields

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    N-flation is a radiatively stable scenario for chaotic inflation in which the displacements of N≫1 axions with decay constants f1≤…≤fN<MP lead to a super-Planckian effective displacement equal to the Pythagorean sum fPy of the fi. We show that mixing in the axion kinetic term generically leads to the phenomenon of kinetic alignment, allowing for effective displacements as large as N−−√fN≥fPy, even if f1,…,fN−1 are arbitrarily small. At the level of kinematics, the necessary alignment occurs with very high probability, because of eigenvector delocalization. We present conditions under which inflation can take place along an aligned direction. Our construction sharply reduces the challenge of realizing N-flation in string theory
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