A Generalization of Sachdev-Ye-Kitaev

Gross, David J.; Rosenhaus, Vladimir

doi:10.48550/arxiv.1610.01569

Cited by 62 publications

(107 citation statements)

References 0 publications

Supporting

Mentioning

106

Contrasting

Order By: Relevance

“…The Schwarzian theory [1] is the basic element of various physical models including the SYK model and the two-dimensional dilaton gravity (see, e.g., [2], [3], [4], [5], and references therein). The action of the theory is…”

mentioning

confidence: 99%

Exact solution of the Schwarzian theory

Belokurov

Shavgulidze

2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

mentioning

confidence: 99%

Exact solution of the Schwarzian theory

Belokurov

Shavgulidze

2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Our motivation in considering the behavior of the motives of melon and melontadpole graphs comes from the fact that several interesting physical models are dominated in the large N limit by melonic graphs. This is the case for SYK models (see [13] for a rigorous diagrammatic proof), as well as in group field theory (see for instance [7]) and tensor models ( [12], [16], [21], [23]), which include generalizations of the SYK models (see for instance [18], [31]).…”

Section: Introductionmentioning

confidence: 91%

Motives of melonic graphs

Aluffi,

Marcolli,

Qaisar

2020

Preprint

View full text Add to dashboard Cite

We investigate recursive relations for the Grothendieck classes of the affine graph hypersurface complements of melonic graphs. We compute these classes explicitly for several families of melonic graphs, focusing on the case of graphs with valence-4 internal vertices, relevant to CTKT tensor models. The results hint at a complex and interesting structure, in terms of divisibility relations or nontrivial relations between classes of graphs in different families. Using the recursive relations we prove that the Grothendieck classes of all melonic graphs are positive as polynomials in the class of the moduli space M 0,4 . We also conjecture that the corresponding polynomials are log-concave, on the basis of hundreds of explicit computations.

show abstract

“…This model is the zero dimensional counterpart of the Sachdev-Ye-Kitaev model [64][65][66][67][68]92]. It comes in two flavors, quenched and annealed, which coincide at the first few orders.…”

Section: The Colored Tensor-vector Modelmentioning

confidence: 99%

“…Tensor models have been extensively studied in zero dimensions (where they were originally introduced and studied as models of quantum gravity [44][45][46][47][48][49][50]) and in one dimension (e.g. [51][52][53][54][55][56][57][58][59][60][61][62][63]) because they provide an alternative to the Sachdev-Ye-Kitaev model [64][65][66][67][68][69][70][71] without quenched disorder. Some small N tensor models can also be solved analytically [59,60,72,73].…”

Section: Introductionmentioning

confidence: 99%

Notes on Tensor Models and Tensor Field Theories

Gurău¹

2019

Preprint

View full text Add to dashboard Cite

Tensor models and tensor field theories admit a 1/N expansion and a melonic large N limit which is simpler than the planar limit of random matrices and richer than the large N limit of vector models. They provide examples of analytically tractable but non trivial strongly coupled quantum field theories and lead to a new class of conformal field theories. We present a compact introduction to the topic, covering both some of the classical results in the field, like the details of the 1/N expansion, as well as recent developments. These notes are loosely bases on four lectures given at the Journées de physique mathématique Lyon 2019: Random tensors and SYK models.

show abstract

A Generalization of Sachdev-Ye-Kitaev

Cited by 62 publications

References 0 publications

Exact solution of the Schwarzian theory

Exact solution of the Schwarzian theory

Motives of melonic graphs

Notes on Tensor Models and Tensor Field Theories

Contact Info

Product

Resources

About