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Orbifolds of chiral fermionic CFTs and their duality
by Kohki Kawabata, Shinichiro Yahagi
Submission summary
| Authors (as registered SciPost users): | Kohki Kawabata · Shinichiro Yahagi |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202410_00017v2 (pdf) |
| Date accepted: | May 12, 2025 |
| Date submitted: | April 17, 2025, 1:50 p.m. |
| Submitted by: | Kawabata, Kohki |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We consider chiral fermionic conformal field theories (CFTs) constructed from lattices and investigate their orbifolds under reflection and shift $\mathbb{Z}_2$ symmetries. For lattices based on binary error-correcting codes, we show the duality between reflection and shift orbifolds using a triality structure inherited from the binary codes. Additionally, we systematically compute the partition functions of the orbifold theories for both binary and nonbinary codes. Finally, we explore applications of this code-based construction in the search for supersymmetric CFTs and chiral fermionic CFTs without continuous symmetries.
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
List of changes
- On page 6, we clarified that topological operations generate three independent theories. ("These operations generate three independent Hilbert spaces up to stacking invertible phases:")
- typo on page 10 raised by the referee (fermion party -> fermion parity)
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For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
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