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    Conformal perturbation theory for twisted fields

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    Author
    Keller, Christoph A
    Zadeh, Ida G
    Affiliation
    Univ Arizona, Dept Math
    Issue Date
    2020-03-06
    Keywords
    conformal field theory
    discrete orbifolds
    conformal perturbation theory
    
    Metadata
    Show full item record
    Publisher
    IOP PUBLISHING LTD
    Citation
    Christoph A Keller and Ida G Zadeh 2020 J. Phys. A: Math. Theor. 53 095401
    Journal
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
    Rights
    © 2020 IOP Publishing Ltd.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    We investigate second order conformal perturbation theory for Z(2) orbifolds of conformal field theories in two dimensions. To evaluate the necessary twisted sector correlation functions and their integrals, we map them from the sphere to its torus double cover. We discuss how this relates crossing symmetry to the modular group, and introduce a regularization scheme on the cover that allows to evaluate the integrals numerically. These methods do not require supersymmetry. As an application, we show that in the torus orbifold of 8 and 16 free bosons, Z(2) twist fields are marginal at first order, but stop being marginal at second order.
    Note
    12 month embargo; published online: 4 February 2020
    ISSN
    1751-8113
    EISSN
    1751-8121
    DOI
    10.1088/1751-8121/ab6b91
    Version
    Final accepted manuscript
    ae974a485f413a2113503eed53cd6c53
    10.1088/1751-8121/ab6b91
    Scopus Count
    Collections
    UA Faculty Publications

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