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• W2891987477 abstract "We introduce a family of tensor quantum-mechanical models based on irreducible rank-$3$ representations of $mathrm{Sp}(N)$. In contrast to irreducible tensor models with $mathrm{O}(N)$ symmetry, the fermionic tetrahedral interaction does not vanish and can therefore support a melonic large $N$ limit. The strongly-coupled regime has a very analogous structure as in the complex SYK model or in $mathrm{U}(N)timesmathrm{O}(N)timesmathrm{U}(N)$ tensor quantum mechanics, the main difference being that the states are now singlets under $mathrm{Sp}(N)$. We introduce character formulas that enumerate such singlets as a function of $N$, and compute their first values. We conclude with an explicit numerical diagonalization of the Hamiltonian in two simple examples: the symmetric model at $N=1$, and the antisymmetric traceless model at $N=3$." @default.
• W2891987477 created "2018-09-27" @default.
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• W2891987477 date "2019-04-01" @default.
• W2891987477 modified "2023-10-04" @default.
• W2891987477 title "SYK-like tensor quantum mechanics with Sp(N) symmetry" @default.
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• W2891987477 doi "https://doi.org/10.1016/j.nuclphysb.2019.02.012" @default.
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