T-duality Twists and Asymmetric Orbifolds

Abstract

We study some aspects of asymmetric orbifolds of tori, with the orbifold group being some ${\mathbb{Z}}_N$ subgroup of the T-duality group and, in particular, provide a concrete understanding of certain phase factors that may accompany the T-duality operation on the stringy Hilbert space in toroidal compactification. We discuss how these T-duality twist phase factors are related to the symmetry and locality properties of the closed string vertex operator algebra, and clarify the role that they enact in the modular covariance of the orbifold theory, mainly using asymmetric orbifolds of tori which are root lattices as working examples.

67 pages. v2: references added and typos corrected

References in corpus (8)

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Cited by in corpus (8)

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• T-duality orbifolds of heterotic Narain compactifications
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• More on Non-supersymmetric Asymmetric Orbifolds with Vanishing Cosmological Constant
• Lie algebra lattices and strings on T-folds
• A Worldsheet Perspective on Heterotic T-Duality Orbifolds
• Flat equivariant gerbes: holonomies and dualities
• Not Doomed to Fail