# Vector models and generalized SYK models

@article{Peng2017VectorMA, title={Vector models and generalized SYK models}, author={Cheng Peng}, journal={Journal of High Energy Physics}, year={2017}, volume={2017}, pages={1-33} }

A bstractWe consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating out the tensor field, the toy model reduces to the Gross-Neveu model in 1 dimension. On the other hand, a certain perturbation can be turned on and the toy model flows to an SYK-like model at low energy. A chaotic-nonchaotic phase transition occurs as the sign of the perturbation is altered. We further study similar models that…

## 54 Citations

### SYK models and SYK-like tensor models with global symmetry

- Mathematics
- 2017

A bstractIn this paper, we study an SYK model and an SYK-like tensor model with global symmetry. First, we study the large N expansion of the bi-local collective action for the SYK model with…

### An introduction to the SYK model

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable and, to date, unique combination…

### Contrasting SYK-like models

- Physics
- 2017

A bstractWe contrast some aspects of various SYK-like models with large-N melonic behavior. First, we note that ungauged tensor models can exhibit symmetry breaking, even though these are 0+1…

### A note on the complex SYK model and warped CFTs

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe discuss the connections between the complex SYK model at the conformal limit and warped conformal field theories. Both theories have an SL(2, ℝ) × U(1) global symmetry. We present…

### 2PI effective action for the SYK model and tensor field theories

- Geology
- 2018

A bstractWe discuss the two-particle irreducible (2PI) effective action for the SYK model and for tensor field theories. For the SYK model the 2PI effective action reproduces the bilocal…

### A new class of SYK-like models with maximal chaos

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the N$$ \mathcal{N} $$ = 1 supersymmetric SYK model. It consists of N real Majorana fermions and…

### SYK-like tensor models on the lattice

- Mathematics, Computer Science
- 2017

This work studies Klebanov-Tarnopolsky model on lattice, Gurau-Witten model (by treating it as a tensor model on four sites) and also a new model which interpolates between these two models, and generalizes the analysis to rank-D tensor models where it is able to compute the next-to-subleading 1N.

### Tensor models for black hole probes

- PhysicsJournal of High Energy Physics
- 2018

A bstractThe infrared dynamics of the SYK model, as well as its associated tensor models, exhibit some of the non trivial features expected of a holographic dual of near extremal black holes. These…

### A Renormalizable SYK-Type Tensor Field Theory

- PhysicsAnnales Henri Poincaré
- 2018

In this paper we introduce a simple field theoretic version of the Carrozza–Tanasa–Klebanov–Tarnopolsky (CTKT) “uncolored” holographic tensor model. It gives a more familiar interpretation to the…

### Diffusion in higher dimensional SYK model with complex fermions

- Physics
- 2017

A bstractWe construct a new higher dimensional SYK model with complex fermions on bipartite lattices. As an extension of the original zero-dimensional SYK model, we focus on the one-dimension case,…

## References

SHOWING 1-10 OF 150 REFERENCES

### A supersymmetric SYK-like tensor model

- Physics
- 2016

A bstractWe consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic N=1$$ \mathcal{N}=1 $$ tensor-valued superfields, “quarks” and…

### Supersymmetric SYK model and random matrix theory

- Physics
- 2017

A bstractIn this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N=1$$…

### Higher dimensional generalizations of the SYK model

- Physics
- 2016

A bstractWe discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains N Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random…

### The spectrum in the Sachdev-Ye-Kitaev model

- Physics
- 2016

A bstractThe SYK model consists of N ≫ 1 fermions in 0 + 1 dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has…

### Towards a 2d QFT analog of the SYK model

- Geology
- 2017

A bstractWe propose a 2D QFT generalization of the Sachdev-Ye-Kitaev model, which we argue preserves most of its features. The UV limit of the model is described by N copies of a topological Ising…

### Random matrices and holographic tensor models

- Mathematics
- 2017

A bstractWe further explore the connection between holographic O(n) tensor models and random matrices. First, we consider the simplest non-trivial uncolored tensor model and show that the results for…

### Comments on the random Thirring model

- Mathematics
- 2017

A bstractThe Thirring model with random couplings is a translationally invariant generalisation of the SYK model to 1+1 dimensions, which is tractable in the large N limit. We compute its two point…

### Quantum chaos and holographic tensor models

- Physics
- 2016

A bstractA class of tensor models were recently outlined as potentially calculable examples of holography: their perturbative large-N behavior is similar to the Sachdev-Ye-Kitaev (SYK) model, but…

### Fermionic localization of the schwarzian theory

- Physics
- 2017

A bstractThe SYK model is a quantum mechanical model that has been proposed to be holographically dual to a 1 + 1-dimensional model of a quantum black hole. An emergent “gravitational” mode of this…