Published 2017
| Submitted + Published
Journal Article
Open
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect
- Creators
- Marcolli, Matilde
- Seipp, Kyle
Abstract
We extend the noncommutative geometry model of the fractional quantum Hall effect, previously developed by Mathai and the first author, to orbifold symmetric products. It retains the same properties of quantization of the Hall conductance at integer multiples of the fractional Satake orbifold Euler characteristics. We show that it also allows for interesting composite fermions and anyon representations, and possibly for Laughlin type wave functions.
Additional Information
© 2017 International Press. The first author was supported by NSF grants DMS-1007207, DMS-1201512, PHY-1205440, and DMS-1707882. The second author contributed to this project as part of his summer undergraduate research.Attached Files
Published - ATMP-2017-0021-0002-a003.pdf
Submitted - 1502.01314.pdf
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Additional details
- Eprint ID
- 79014
- Resolver ID
- CaltechAUTHORS:20170712-130729557
- DMS-1007207
- NSF
- DMS-1201512
- NSF
- PHY-1205440
- NSF
- DMS-1707882
- NSF
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Created
-
2017-07-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field