Sextic tensor field theories in rank 3 and 5

@article{Benedetti2019SexticTF,
  title={Sextic tensor field theories in rank 3 and 5},
  author={Dario Benedetti and Nicolas Delporte and Sabine Harribey and Ritam Sinha},
  journal={Journal of High Energy Physics},
  year={2019},
  volume={2020},
  pages={1-42}
}
We study bosonic tensor field theories with sextic interactions in d < 3 dimensions. We consider two models, with rank-3 and rank-5 tensors, and U( N ) 3 and O ( N ) 5 symmetry, respectively. For both of them we consider two variations: one with standard short-range free propagator, and one with critical long-range propagator, such that the sextic interactions are marginal in any d < 3. We derive the set of beta functions at large N , compute them explicitly at four loops, and identify the… Expand
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References

SHOWING 1-10 OF 103 REFERENCES
Line of fixed points in a bosonic tensor model
A bstractWe consider the O(N)3 tensor model of Klebanov and Tarnopolsky [1] in d < 4 with a free covariance modified to fit the infrared conformal scaling. We study the renormalization group flow ofExpand
On large N limit of symmetric traceless tensor models
A bstractFor some theories where the degrees of freedom are tensors of rank 3 or higher, there exist solvable large N limits dominated by the melonic diagrams. Simple examples are provided by modelsExpand
A complex fermionic tensor model in d dimensions
A bstractIn this note, we study a melonic tensor model in d dimensions based on three-index Dirac fermions with a four-fermion interaction. Summing the melonic diagrams at strong coupling allows oneExpand
Multi-critical behaviour of 4-dimensional tensor models up to order 6
Abstract Tensor models generalize the matrix-model approach to 2-dimensional quantum gravity to higher dimensions. Some models allowing a 1 / N expansion have been explored, most of them generatingExpand
Majorana fermion quantum mechanics for higher rank tensors
We study quantum mechanical models in which the dynamical degrees of freedom are real fermionic tensors of rank five and higher. They are the non-random counterparts of the Sachdev-Ye-Kitaev (SYK)Expand
Conformal symmetry and composite operators in the O(N )3 tensor field theory
We continue the study of the bosonic $O(N)^3$ model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant $\phi^4$ composite operators, known asExpand
Tensorial Gross-Neveu models
A bstractWe define and study various tensorial generalizations of the Gross-Neveu model in two dimensions, that is, models with four-fermion interactions and G3 symmetry, where we take either G =Expand
Prismatic large N models for bosonic tensors
We study the $O(N)^3$ symmetric quantum field theory of a bosonic tensor $\phi^{abc}$ with sextic interactions. Its large $N$ limit is dominated by a positive-definite operator, whose index structureExpand
Fixed-point structure and effective fractional dimensionality for O(N) models with long-range interactions.
TLDR
An improved method to describe the full theory space of the models where both short- and long-range propagator terms are present and no a priori choice among the two in the renormalization group flow is done is proposed. Expand
Notes on melonic O(N)q−1 tensor models
A bstractIt has recently been demonstrated that the large N limit of a model of fermions charged under the global/gauge symmetry group O(N)q−1 agrees with the large N limit of the SYK model. In theseExpand
...
1
2
3
4
5
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