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Shift orbifolds, decompactification limits, and lattices

by Dan Israel, Ilarion V. Melnikov, Yann Proto

Submission summary

Authors (as registered SciPost users): Yann Proto
Submission information
Preprint Link: https://arxiv.org/abs/2502.18453v2  (pdf)
Date submitted: Jan. 8, 2026, 11:16 a.m.
Submitted by: Yann Proto
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical

Abstract

We describe the general shift orbifold of a Narain CFT and use this to investigate decompactification limits in the heterotic Narain moduli space. We also comment on higher rank theories and describe some applications to the CFT based on the Leech lattice and its shift orbifolds.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

In response to the referees’ suggestions, we have made a few minor changes to clarify several points.

List of changes

  • Footnote on page 6 explaining the form of the cocycle phase.
  • Clarifications on the twisted Hilbert space construction, at the beginning of subsection 3.1.
  • Explicit mention of the rank and signature of the orbifold lattice, below equation (3.20).
  • Comments on generalizations to heterotic compactifications in lower dimensions, at the end of subsection 4.3.
Current status:
In refereeing

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