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2019

Tensorial generalization of characters

Itoyama, H., Mironov, A., Morozov, A.

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In rainbow tensor models, which generalize rectangular complex matrix model (RCM) and possess a huge gauge symmetry $U(N_1)\times\ldots\times U(N_r)$, we introduce a new sub-basis in the linear space of gauge invariant operators, which is a redundant basis in the space of operators with non-zero Gaussian averages.

Its elements are labeled by $r$-tuples of Young diagrams of a given size equal to the power of tensor field.
Their tensor model averages are just products of dimensions: $\Big<\chi_{R_1,\ldots,R_r}\Big> \sim C_{R_1,\ldots, R_r}D_{R_1}(N_1)\ldots D_{R_r}(N_r)$ of representations $R_i$ of the linear group $SL(N_i)$, with $C_{R_1,\ldots, R_r}$ made of the Clebsch-Gordan coefficients of representations $R_i$ of the symmetric group.
Moreover, not only the averages but the operators $\chi_{\vec R}$ themselves exist only when these $C_{\vec R}$ are non-vanishing.

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R. de Mello Koch, S. Ramgoolam, arXiv:1002.1634 D. Garner, S. Ramgoolam, Nucl.Phys. B875
Original
1903
Earlier work this paper cites.
E. Witten, arXiv:1610.09758 R. Gurau, Nucl. Phys. B916
Original
1908
Earlier work this paper cites.
N. Amburg, H. Itoyama, A. Mironov, A. Morozov, D. Vasiliev, R. Yoshioka, arXiv:1911.10574
Original
1911
Earlier work this paper cites.
T. Morris, Nucl.Phys. b356
1991
Earlier work this paper cites.
I.G. Macdonald, Symmetric functions and Hall polynomials
1995
Earlier work this paper cites.
D. Goulden , D.M. Jackson, A. Vainshtein, Ann. of Comb. 4
2000
Earlier work this paper cites.
A. Mironov, L. Chekhov, Phys.Lett. B552
2006
Earlier work this paper cites.

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