dorsal/arxiv
View SchemaA melonic quantum mechanical model without disorder
| Authors | Anna Biggs, Loki L. Lin, Juan Maldacena |
|---|---|
| Categories | |
| ArXiv ID | 2601.08908vv1 |
| URL | https://arxiv.org/abs/2601.08908 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We consider a quantum mechanical model involving interacting fermions without disorder that has the same low energy physics as the supersymmetric SYK model. The model is $SU(2)$ invariant, and the supercharge involves the $ SU(2) $ 3j symbol. We analyze various solvable corners, conceptually explain why it has a melonic expansion, and perform an exact diagonalization for small values of $N$. Expanded around the states with maximal angular momentum, the model is approximated by a two dimensional CFT. The BPS states have a simple description in that regime.
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"abstract": "We consider a quantum mechanical model involving interacting fermions without disorder that has the same low energy physics as the supersymmetric SYK model. The model is $SU(2)$ invariant, and the supercharge involves the $ SU(2) $ 3j symbol. We analyze various solvable corners, conceptually explain why it has a melonic expansion, and perform an exact diagonalization for small values of $N$. Expanded around the states with maximal angular momentum, the model is approximated by a two dimensional CFT. The BPS states have a simple description in that regime.",
"arxiv_id": "2601.08908",
"authors": [
"Anna Biggs",
"Loki L. Lin",
"Juan Maldacena"
],
"categories": [
"hep-th",
"cond-mat.str-el"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "A melonic quantum mechanical model without disorder",
"url": "https://arxiv.org/abs/2601.08908",
"version": "v1"
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